text stringlengths 1 3.55k | source stringlengths 24 207 | emb listlengths 1.02k 1.02k |
|---|---|---|
). this energy is less than the energy released by the gun powder — significant heat transfer occurs. 35. professional application two piloted satellites approaching one another, at a relative speed of 0. 250 m / s, intending to dock. the first has a mass of, and the second a mass of. ( a ) calculate the final velocity... | openstax_college_physics_2e-web_7zesafu | [
0.0014436603523790836,
0.03866931051015854,
0.010942632332444191,
0.049982644617557526,
-0.02858644165098667,
-0.029513798654079437,
-0.04125095158815384,
-0.005848199129104614,
-0.021737610921263695,
0.04893898963928223,
0.001941286725923419,
0.038307953625917435,
0.012440280988812447,
-0... |
how much kinetic energy does the rifle gain? ( c ) what is the recoil velocity if the rifle is held tightly against the shoulder, making the effective mass | openstax_college_physics_2e-web_7zesafu | [
-0.0012336585205048323,
0.019048253074288368,
-0.01862315833568573,
0.05910945683717728,
-0.01350075751543045,
0.004200608003884554,
-0.02893979847431183,
0.007765002083033323,
-0.0191304013133049,
0.04015344753861427,
0.02018602564930916,
0.045903269201517105,
-0.019993990659713745,
-0.03... |
28. 0 kg? ( d ) how much kinetic energy is transferred to the rifle - shoulder combination? the pain is related to the amount of kinetic energy, which is significantly less in this latter situation. ( e ) calculate the momentum of a 110 - kg football player running at 8. 00 m / s. compare the player ’ s momentum with t... | openstax_college_physics_2e-web_7zesafu | [
0.025447877123951912,
0.04600450024008751,
0.015091107226908207,
0.042157094925642014,
-0.030811715871095657,
0.021165382117033005,
-0.026870787143707275,
-0.00785481184720993,
-0.037212152034044266,
0.04219161719083786,
0.0148603031411767,
0.014468715526163578,
0.02753228321671486,
-0.024... |
and analyzed the plume produced by the impact. ( significant amounts of water were detected. ) answer part ( a ) and ( b ) for this real - life experiment. the mass of the rocket was 2000 kg and its speed upon impact was 9000 km / h. how does the plume produced alter these results? 41. professional application two foot... | openstax_college_physics_2e-web_7zesafu | [
-0.003906371537595987,
0.04502585902810097,
-0.00048067033640109,
0.04335230961441994,
-0.05418727919459343,
-0.01957661099731922,
-0.008785093203186989,
0.004561466630548239,
0.01818723976612091,
0.05070965364575386,
0.005189822521060705,
0.014520696364343166,
0.06205667927861214,
-0.0395... |
air hockey table. one puck was originally at rest. ( a ) if the incoming puck has a speed of 6. 00 m / s and scatters to an angle of, what is the velocity ( magnitude and direction ) of the second puck? ( you may use the result that for elastic collisions of objects that have identical masses. ) ( b ) confirm that the ... | openstax_college_physics_2e-web_7zesafu | [
-0.009757568128407001,
0.025739707052707672,
-0.01657848432660103,
0.005683746188879013,
-0.04415815323591232,
-0.003006462473422289,
0.018918277695775032,
0.0001957029162440449,
0.02110143192112446,
0.07059014588594437,
0.015441372990608215,
0.022856635972857475,
0.04518487676978111,
-0.0... |
8. 7 do conserve momentum in both the - and - directions. 47. a 3000 - kg cannon is mounted so that it can recoil only in the horizontal direction. ( a ) calculate its recoil velocity when it fires a 15. 0 - kg shell at 480 m / s at an angle of above the horizontal. ( b ) what is the kinetic energy of the cannon? this ... | openstax_college_physics_2e-web_7zesafu | [
0.02690204046666622,
0.0425192229449749,
0.014250646345317364,
0.02182507887482643,
-0.007788984104990959,
-0.005844892933964729,
-0.01770920120179653,
-0.003235332202166319,
-0.011850652284920216,
0.046168915927410126,
-0.00008043342677410692,
0.028629498556256294,
0.009796862490475178,
-... |
intersection and stick together afterward. the first car has a mass of 1200 kg and is approaching at due south. the second car has a mass of 850 kg and is approaching at due west. ( a ) calculate the final velocity ( magnitude and direction ) of the cars. ( b ) how much kinetic energy is lost in the collision? ( this e... | openstax_college_physics_2e-web_7zesafu | [
0.004780687391757965,
0.05994930490851402,
0.014848182909190655,
0.01446597371250391,
-0.004093391355127096,
-0.01940607838332653,
0.028011182323098183,
0.0014539588009938598,
-0.007610329892486334,
0.06376402825117111,
0.02305273711681366,
0.02512434311211109,
0.00792367197573185,
-0.0428... |
8. 00 kg of gas per second at an exhaust velocity of 55. professional application calculate the increase in velocity of a 4000 - kg space probe that expels 3500 kg of its mass at an exhaust velocity of. you may assume the gravitational force is negligible at the probe ’ s location. 56. professional application ion - pr... | openstax_college_physics_2e-web_7zesafu | [
-0.015745529904961586,
0.05654948577284813,
0.028854943811893463,
0.06885046511888504,
-0.016424227505922318,
-0.001991451485082507,
-0.04836980253458023,
0.012290136888623238,
0.011241131462156773,
0.06064648926258087,
0.04176793992519379,
0.0034860887099057436,
0.01661994308233261,
-0.02... |
and is 70. 0 kg after the extinguisher is fired. 60. how much of a single - stage rocket that is 100, 000 kg can be anything but fuel if the rocket is to have a final speed of, given that it expels gases at an exhaust velocity of 61. professional application ( a ) a 5. 00 - kg squid initially at rest ejects 0. 250 - kg... | openstax_college_physics_2e-web_7zesafu | [
-0.008488994091749191,
-0.0044030179269611835,
0.004215167835354805,
0.0689912810921669,
-0.023106908425688744,
-0.028909791260957718,
-0.008214124478399754,
0.03553050756454468,
-0.003912466112524271,
0.03326437994837761,
0.0259690023958683,
0.03296622261404991,
0.019042909145355225,
-0.0... |
0. 100 s and there is a 5. 00 - n frictional force opposing the squid ’ s movement. ( b ) how much energy is lost to work done against friction? 62. unreasonable results squids have been reported to jump from the ocean and travel ( measured horizontally ) before re - entering the water. ( a ) calculate the initial spee... | openstax_college_physics_2e-web_7zesafu | [
-0.01897985115647316,
0.020334454253315926,
0.00546385208144784,
0.014229868538677692,
-0.042762864381074905,
0.015390386804938316,
-0.021442901343107224,
0.039468299597501755,
0.0006772305932827294,
0.06817854195833206,
0.026287361979484558,
0.017883820459246635,
0.011547583155333996,
-0.... |
torque 9. 1 the first condition for equilibrium 9. 2 the second condition for equilibrium 9. 3 stability 9. 4 applications of statics, including problem - solving strategies 9. 5 simple machines | openstax_college_physics_2e-web_7zesafu | [
-0.0014126249589025974,
0.04484163597226143,
0.03223055228590965,
-0.005484552122652531,
-0.046481840312480927,
0.014758037403225899,
0.00031248468440026045,
-0.0037352675572037697,
0.012480124831199646,
0.04302337020635605,
-0.023897752165794373,
-0.002664251485839486,
-0.005498321726918220... |
9. 6 forces and torques in muscles and joints what might desks, bridges, buildings, trees, and mountains have in common — at least in the eyes of a physicist? the answer is that they are ordinarily motionless relative to the earth. furthermore, their acceleration is zero because they remain motionless. that means they ... | openstax_college_physics_2e-web_7zesafu | [
-0.01696840114891529,
0.05009094625711441,
-0.0001803037157515064,
0.009786149486899376,
0.010145395994186401,
0.013656729832291603,
0.023508794605731964,
0.01385567057877779,
0.014324760064482689,
0.0640263482928276,
0.035088300704956055,
0.00273723853752017,
0.010975557379424572,
-0.0567... |
9. 1 the first condition for equilibrium learning objectives by the end of this section, you will be able to : • state the first condition of equilibrium. • explain static equilibrium. • explain dynamic equilibrium. the first condition necessary to achieve equilibrium is the one already mentioned : the net external for... | openstax_college_physics_2e-web_7zesafu | [
-0.021573176607489586,
0.04495542496442795,
-0.0020533003844320774,
0.016655130311846733,
-0.025175724178552628,
-0.014732812531292439,
0.009285097010433674,
0.01938844844698906,
-0.012504128739237785,
0.059051841497421265,
0.040877386927604675,
0.018232544884085655,
0.01722506433725357,
-... |
9. 2 358 9 • statics and torque access for free at openstax. org lying flat on ice. the net external force is zero in both situations shown in the figure ; but in one case, equilibrium is achieved, whereas in the other, it is not. in figure 9. 4, the ice hockey stick remains motionless. but in figure 9. 5, with the sam... | openstax_college_physics_2e-web_7zesafu | [
-0.04532306268811226,
0.029597582295536995,
-0.0017068854067474604,
0.00527436938136816,
-0.03618216514587402,
-0.008092996664345264,
0.006853823084384203,
0.016844211146235466,
-0.0015906073385849595,
0.05479833856225014,
0.042229678481817245,
0.00919023435562849,
0.00884285755455494,
-0.... |
9. 2 • the second condition for equilibrium 359 several familiar factors determine how effective you are in opening the door. see figure 9. 6. first of all, the larger the force, the more effective it is in opening the door — obviously, the harder you push, the more rapidly the door opens. also, the point at which you ... | openstax_college_physics_2e-web_7zesafu | [
-0.02180301398038864,
0.06007983908057213,
-0.00837395153939724,
-0.014669275842607021,
-0.058561407029628754,
-0.006322983652353287,
-0.0008743879152461886,
0.04177482798695564,
-0.05477237328886986,
0.06433054804801941,
0.007132288999855518,
0.017997443675994873,
-0.01417243480682373,
-0... |
the force are incorporated into the definition of the physical quantity called torque. torque is the rotational equivalent of a force. it is a measure of the effectiveness of a force in changing or accelerating a rotation ( changing the angular velocity over a period of time ). in equation form, the magnitude of torque... | openstax_college_physics_2e-web_7zesafu | [
-0.01156457606703043,
0.02746196836233139,
0.008100729435682297,
-0.0028983824886381626,
-0.0313677079975605,
0.01317679975181818,
0.028154414147138596,
-0.02794368751347065,
-0.017113234847784042,
0.03579683601856232,
0.0483233742415905,
0.008020544424653053,
-0.018814165145158768,
-0.014... |
9. 5 360 9 • statics and torque access for free at openstax. org figure 9. 7 a force applied to an object can produce a torque, which depends on the location of the pivot point. ( a ) the three factors,, and for pivot point a on a body are shown here — is the distance from the chosen pivot point to the point where the ... | openstax_college_physics_2e-web_7zesafu | [
-0.014877219684422016,
0.02600005827844143,
0.0047368318773806095,
-0.03304315730929375,
-0.03440443426370621,
0.01719324104487896,
0.007297769654542208,
-0.009947479702532291,
-0.02038230560719967,
0.0525200180709362,
0.03057865984737873,
0.004200232680886984,
-0.024092337116599083,
-0.02... |
will give you a different value for the torque, since both and depend on the location of the pivot. any point in any object can be chosen to calculate the torque about that point. the object may not actually pivot about the chosen “ pivot point. ” note that for rotation in a plane, torque has two possible directions. t... | openstax_college_physics_2e-web_7zesafu | [
-0.02562635764479637,
0.013054078444838524,
-0.02578357607126236,
-0.03503228724002838,
-0.030446650460362434,
-0.01706448756158352,
0.006663514766842127,
0.018701676279306412,
0.003803522791713476,
0.04240171238780022,
0.03144262731075287,
0.0038621402345597744,
-0.009617064148187637,
0.0... |
. 8, they satisfy the two conditions for equilibrium. most people have perfect intuition about seesaws, knowing that the lighter child must sit farther from the pivot and that a heavier child can keep a lighter one off the ground indefinitely. 9. 6 | openstax_college_physics_2e-web_7zesafu | [
-0.015904109925031662,
0.019588517025113106,
0.008372964337468147,
0.01305344421416521,
-0.014261933043599129,
-0.017956683412194252,
-0.02480730228126049,
0.045649074018001556,
-0.01494431309401989,
0.04058818891644478,
0.03572322428226471,
-0.02321832999587059,
-0.01638541743159294,
-0.0... |
9. 2 • the second condition for equilibrium 361 figure 9. 8 two children balancing a seesaw satisfy both conditions for equilibrium. the lighter child sits farther from the pivot to create a torque equal in magnitude to that of the heavier child. example 9. 1 she saw torques on a seesaw the two children shown in figure... | openstax_college_physics_2e-web_7zesafu | [
-0.031113222241401672,
0.026858916506171227,
0.013662749901413918,
0.00467283558100462,
-0.029566027224063873,
-0.01811463199555874,
-0.013197393156588078,
0.015703702345490456,
-0.02377181313931942,
0.037767864763736725,
0.023489950224757195,
0.004565292038023472,
-0.004988550208508968,
-... |
rotation, just as pushing directly on the hinges of a door will not cause it to rotate. now, the second condition for equilibrium is that the sum of the torques on both children is zero. therefore 9. 7 9. 8 9. 9 | openstax_college_physics_2e-web_7zesafu | [
-0.035888317972421646,
0.06107988953590393,
0.0039012469351291656,
-0.010674760676920414,
-0.028363127261400223,
-0.02864651009440422,
0.003127987263724208,
0.046908337622880936,
-0.050913646817207336,
0.05323013663291931,
-0.002872796030715108,
0.03262430056929588,
-0.0007816401775926352,
... |
9. 10 362 9 • statics and torque access for free at openstax. org or weight is mass times the acceleration due to gravity. entering for, we get solve this for the unknown : the quantities on the right side of the equation are known ; thus, is as expected, the heavier child must sit closer to the pivot ( 1. 30 m versus ... | openstax_college_physics_2e-web_7zesafu | [
-0.0166967511177063,
0.02035188116133213,
0.013150498270988464,
0.021789422258734703,
-0.014895891770720482,
0.002797151915729046,
-0.003768876427784562,
0.02375616878271103,
0.005494166165590286,
0.0383109375834465,
0.03127399459481239,
-0.0014320085756480694,
-0.019584955647587776,
-0.02... |
, the acceleration due to gravity canceled in this problem, and we were left with a ratio of masses. this will not always be the case. always enter the correct forces — do not jump ahead to enter some ratio of masses. third, the weight of each child is distributed over an area of the seesaw, yet we treated the weights ... | openstax_college_physics_2e-web_7zesafu | [
-0.018277287483215332,
0.03598732873797417,
0.005100460723042488,
0.016289377585053444,
-0.021695856004953384,
0.006905173417180777,
-0.02311968058347702,
0.026827968657016754,
-0.009307866916060448,
0.04168778657913208,
0.02325131930410862,
0.003698074957355857,
-0.011698540300130844,
-0.... |
9. 3 stability learning objectives by the end of this section, you will be able to : • state the types of equilibrium. • describe stable and unstable equilibriums. • describe neutral equilibrium. it is one thing to have a system in equilibrium ; it is quite another for it to be stable. the toy doll perched on the man ’... | openstax_college_physics_2e-web_7zesafu | [
-0.013556791469454765,
0.05394209548830986,
0.04218462482094765,
-0.010618295520544052,
-0.0275532566010952,
-0.015901371836662292,
0.005379315000027418,
0.022944794967770576,
0.012464800849556923,
0.04379682615399361,
0.04872000962495804,
0.022816218435764313,
-0.0061157699674367905,
-0.0... |
free at openstax. org figure 9. 10 this pencil is in the condition of equilibrium. the net force on the pencil is zero and the total torque about any pivot is zero. a system is in unstable equilibrium if, when displaced, it experiences a net force or torque in the same direction as the displacement from equilibrium. a ... | openstax_college_physics_2e-web_7zesafu | [
-0.06258750706911087,
0.03784402459859848,
-0.0059400880709290504,
0.006007329560816288,
-0.03870261088013649,
-0.01436452753841877,
-0.0127647053450346,
0.0036240473855286837,
0.013814885169267654,
0.07065407186746597,
0.052970822900533676,
0.02648038975894451,
-0.012522229924798012,
-0.0... |
9. 3 • stability 365 figure 9. 13 this figure shows unstable equilibrium, although both conditions for equilibrium are satisfied. figure 9. 14 if the pencil is displaced even slightly, a torque is created by its weight that is in the same direction as the displacement, causing the displacement to increase. a system is ... | openstax_college_physics_2e-web_7zesafu | [
-0.0341416634619236,
0.03519425913691521,
0.033952098339796066,
0.014040320180356503,
-0.033723704516887665,
0.0225999616086483,
0.02540642023086548,
0.034291043877601624,
0.0227386225014925,
0.04833132028579712,
0.05317065864801407,
0.026545539498329163,
-0.02045973762869835,
-0.030380601... |
of support. stability is also increased by lowering one ’ s center of gravity by bending the knees, as when a football player prepares to receive a ball or braces themselves for a tackle. a cane, a crutch, or a walker increases the stability of the user, even more as the base of support widens. usually, the cg of a fem... | openstax_college_physics_2e-web_7zesafu | [
0.0009842441650107503,
0.030033564195036888,
0.008181882090866566,
0.018538745120167732,
-0.023888539522886276,
0.004405639600008726,
0.0035959065426141024,
0.052267007529735565,
0.0177012849599123,
0.040795985609292984,
0.034091975539922714,
-0.006249211262911558,
0.0010429719695821404,
-... |
9. 3 • stability 367 backward displacements because the feet are not very long. muscles are used extensively to balance the body in the front - to - back direction. ( b ) while bending in the manner shown, stability is increased by lowering the center of gravity. stability is also increased if the base is expanded by p... | openstax_college_physics_2e-web_7zesafu | [
0.0219225212931633,
0.05626089125871658,
0.01993810385465622,
0.0008805752731859684,
-0.0209380891174078,
0.023996984586119652,
0.018960289657115936,
0.06627239286899567,
0.02280835062265396,
0.07131271809339523,
0.016609784215688705,
0.0038229264318943024,
-0.022755898535251617,
-0.051906... |
zero, and the net torque must also be zero. | openstax_college_physics_2e-web_7zesafu | [
-0.03450664505362511,
0.04076202213764191,
0.029056217521429062,
-0.0016461912309750915,
0.002604276640340686,
-0.03169615939259529,
-0.003949373494833708,
-0.021366991102695465,
0.003879778552800417,
0.026890303939580917,
0.02056902088224888,
0.03311827406287193,
-0.0005220956518314779,
-... |
9. 4 applications of statics, including problem - solving strategies learning objectives by the end of this section, you will be able to : • discuss the applications of statics in real life. • state and discuss various problem - solving strategies in statics. statics can be applied to a variety of situations, ranging f... | openstax_college_physics_2e-web_7zesafu | [
-0.002241627313196659,
0.016421684995293617,
0.025597605854272842,
0.04027456045150757,
-0.01609395444393158,
0.019830044358968735,
0.011403570882976055,
0.04634087160229683,
0.012705850414931774,
0.08669645339250565,
0.0379716195166111,
-0.005764355417340994,
-0.0011136524844914675,
-0.04... |
. the weight exerts no torque about a pivot point located at the cg, since it is applied at that point and its lever arm is zero. the equal forces exerted by the hands are equidistant from the chosen pivot, and so they exert equal and opposite torques. similar arguments hold for other systems where supporting forces ar... | openstax_college_physics_2e-web_7zesafu | [
-0.02818452939391136,
-0.0014350141864269972,
0.012469623237848282,
0.0004642876156140119,
-0.0197047870606184,
0.010229138657450676,
0.017100049182772636,
0.05199015885591507,
-0.00992600154131651,
0.06861397624015808,
0.055868905037641525,
0.010153856128454208,
-0.018319405615329742,
-0.... |
applied at the pivot ( then ), or along a line through the pivot point ( then ) ). always choose a convenient coordinate system for projecting forces. 4. check the solution to see if it is reasonable by examining the magnitude, direction, and units of the answer. the importance of this last step never diminishes, altho... | openstax_college_physics_2e-web_7zesafu | [
-0.007921678945422173,
0.015306567773222923,
0.012511971406638622,
-0.026436204090714455,
-0.0592169389128685,
0.0006511615356430411,
0.003061767667531967,
0.022382881492376328,
0.024599362164735794,
0.03840090334415436,
0.05191104859113693,
0.004392798990011215,
0.00215400499291718,
0.004... |
9. 4 • applications of statics, including problem - solving strategies 369 figure 9. 19 a pole vaulter is holding a pole horizontally with both hands. the center of gravity is near his right hand. figure 9. 20 a pole vaulter is holding a pole horizontally with both hands. the center of gravity is to the left side of th... | openstax_college_physics_2e-web_7zesafu | [
0.001189504866488278,
0.010984453372657299,
0.011696713976562023,
0.014915167354047298,
-0.013259205967187881,
0.01285183522850275,
0.030446873977780342,
0.04780810326337814,
-0.009529691189527512,
0.07709509879350662,
0.026147734373807907,
-0.005978236440569162,
-0.015612881630659103,
-0.... |
are unknown and the hand forces cannot be assumed to be equal in this case. there is enough information to use the second condition for equilibrium if the pivot point is chosen to be at either hand, thereby making the torque from that hand zero. we choose to locate the pivot at the left hand in this part of the problem... | openstax_college_physics_2e-web_7zesafu | [
-0.030078260228037834,
0.00005454589336295612,
-0.012263876385986805,
-0.006120826117694378,
-0.022755805402994156,
-0.018868332728743553,
0.0010115932673215866,
0.04371318221092224,
-0.014447568915784359,
0.05549083650112152,
0.042956460267305374,
-0.0024813697673380375,
0.00899518746882677... |
9. 24 9. 25 9. 26 9. 27 9. 28 take - home experiment this is an experiment to perform while standing in a bus or a train. stand facing sideways. how do you move your body to readjust the distribution of your mass as the bus accelerates and decelerates? now stand facing forward. how do you move your body to readjust the... | openstax_college_physics_2e-web_7zesafu | [
-0.01491176150739193,
0.006571513134986162,
-0.04776952415704727,
0.009116185829043388,
-0.016168933361768723,
0.015917599201202393,
-0.0006901829619891942,
0.01821557804942131,
0.00500934012234211,
0.04819737374782562,
-0.0013560601510107517,
-0.032474055886268616,
0.05178802087903023,
-0... |
9. 5 simple machines learning objectives by the end of this section, you will be able to : • describe different simple machines. • calculate the mechanical advantage. simple machines are devices that can be used to multiply or augment a force that we apply – often at the expense of a distance through which we apply the... | openstax_college_physics_2e-web_7zesafu | [
0.003809255314990878,
0.02967904694378376,
0.0013751470251008868,
-0.020425863564014435,
-0.0222579687833786,
0.02868833765387535,
-0.02798541635274887,
-0.043585240840911865,
-0.03556360304355621,
0.07460705190896988,
0.05708523467183113,
0.033025890588760376,
-0.03846116364002228,
-0.031... |
( the system of interest ) – these are and. is the reaction force back on the system, equal and opposite to. ( note that is not a force on the system. ) is the normal force upon the lever, and its torque is zero since it is exerted at the pivot. the torques due to and must be equal to each other if the nail is not movi... | openstax_college_physics_2e-web_7zesafu | [
-0.03193332254886627,
0.03111310303211212,
0.004819267895072699,
-0.007734119426459074,
-0.052379507571458817,
0.010817542672157288,
-0.02700081095099449,
0.01755312830209732,
-0.04288386553525925,
0.0842755064368248,
0.05068885162472725,
0.05195429176092148,
-0.04442787542939186,
-0.04300... |
9. 30 372 9 • statics and torque access for free at openstax. org what interests us most here is that the magnitude of the force exerted by the nail puller,, is much greater than the magnitude of the input force applied to the puller at the other end,. for the nail puller, this equation is true for levers in general. f... | openstax_college_physics_2e-web_7zesafu | [
0.016804521903395653,
0.021454274654388428,
0.012968792580068111,
-0.024173052981495857,
-0.03312626853585243,
0.04295908287167549,
-0.013075113296508789,
-0.03203422203660011,
-0.005010236520320177,
0.07959118485450745,
0.0663193091750145,
0.01635417900979519,
-0.008108189329504967,
-0.08... |
the input force is between the pivot and the load, but the input lever arm is shorter than the output lever arm. the pivot is at the handle held by the right hand. here, the output force ( supporting the shovel ’ s load ) is less than the input force ( from the hand nearest the load ), because the input is exerted clos... | openstax_college_physics_2e-web_7zesafu | [
-0.002629174618050456,
0.019878018647432327,
0.0027989789377897978,
-0.030455706641077995,
-0.045019492506980896,
0.05799566209316254,
-0.011755230836570263,
-0.005806368310004473,
0.010485755279660225,
0.06939870864152908,
0.06960826367139816,
0.006641833111643791,
-0.0199489276856184,
-0... |
9. 5 • simple machines 373 strategy here, we use the concept of mechanical advantage. solution ( a ) in this case, becomes adding values into this equation yields the free - body diagram ( see figure 9. 22 ) gives the following normal force :. therefore,. is the normal force acting on the wheel ; by newton ’ s third la... | openstax_college_physics_2e-web_7zesafu | [
0.0018422962166368961,
0.036115918308496475,
0.021565057337284088,
0.0029729108791798353,
-0.004067619796842337,
0.03314542397856712,
-0.027257215231657028,
-0.03337215632200241,
-0.03234744071960449,
0.08042581379413605,
0.07962092012166977,
0.025873839855194092,
-0.04604070633649826,
-0.... |
9. 34 374 9 • statics and torque access for free at openstax. org figure 9. 23 ( a ) a crank is a type of lever that can be rotated about its pivot. cranks are usually designed to have a large ma. ( b ) a simplified automobile axle drives a wheel, which has a much larger diameter than the axle. the ma is less than 1. (... | openstax_college_physics_2e-web_7zesafu | [
0.00807245820760727,
0.042023833841085434,
0.019634157419204712,
0.02225458435714245,
-0.023854976519942284,
0.01370930578559637,
-0.017046013846993446,
-0.038390714675188065,
-0.013876683078706264,
0.08000829070806503,
0.059774965047836304,
0.008992413990199566,
-0.05340484157204628,
-0.0... |
the system of interest. | openstax_college_physics_2e-web_7zesafu | [
-0.011158863082528114,
0.009023616090416908,
-0.01831258088350296,
-0.010388987138867378,
-0.04766944795846939,
-0.004796955734491348,
-0.0011936862720176578,
-0.03566339612007141,
0.032851692289114,
0.014723493717610836,
0.03614720329642296,
0.03147221729159355,
0.0044148690067231655,
-0.... |
9. 6 forces and torques in muscles and joints learning objectives by the end of this section, you will be able to : • explain the forces exerted by muscles. • state how a bad posture causes back strain. • discuss the benefits of skeletal muscles attached close to joints. • discuss various complexities in the real syste... | openstax_college_physics_2e-web_7zesafu | [
0.006678625475615263,
0.02071411721408367,
0.03260868787765503,
0.01928904838860035,
-0.006873977370560169,
0.03735099360346794,
0.007980292662978172,
-0.008564971387386322,
0.0040518296882510185,
0.08062843978404999,
0.019296370446681976,
-0.007950527593493462,
-0.02257445827126503,
-0.04... |
with the pivot at the elbow joint as seen in example 9. 4. example 9. 4 muscles exert bigger forces than you might think calculate the force the biceps muscle must exert to hold the forearm and its load as shown in figure 9. 25, and compare this force with the weight of the forearm plus its load. you may take the data ... | openstax_college_physics_2e-web_7zesafu | [
-0.011188744567334652,
0.012447542510926723,
0.02826974168419838,
0.004161400254815817,
-0.01531264092773199,
0.02043638564646244,
0.00783273670822382,
-0.007472810335457325,
-0.0026880945079028606,
0.07629667967557907,
0.08269185572862625,
-0.008071481250226498,
-0.021939828991889954,
-0.... |
in the previous example, the downward force exerted by the humerus at the elbow joint equals 407 n, or 6. 38 times the total weight supported. ( the calculation of is straightforward and is left as an end - of - chapter problem. ) because muscles can contract, but not expand beyond their resting length, joints and musc... | openstax_college_physics_2e-web_7zesafu | [
-0.0012485967017710209,
0.0016083099180832505,
0.004397556651383638,
0.006655349861830473,
0.007800479885190725,
0.01937437243759632,
0.04184050112962723,
0.004397256765514612,
-0.0032827360555529594,
0.09259374439716339,
0.06710616499185562,
0.0060698483139276505,
-0.023433323949575424,
-... |
9. 6 • forces and torques in muscles and joints 377 joints are largest when their load is a long distance from the joint, as the book is in the previous example. in racquet sports such as tennis the constant extension of the arm during game play creates large forces in this way. the mass times the lever arm of a tennis... | openstax_college_physics_2e-web_7zesafu | [
-0.0017292670672759414,
0.012116053141653538,
0.017203398048877716,
0.06640194356441498,
-0.005369722843170166,
0.02280443161725998,
0.022749384865164757,
-0.03919074684381485,
0.005995935760438442,
0.04298827052116394,
0.03243011608719826,
-0.0072714523412287235,
0.003127121366560459,
-0.... |
back is considerably more complicated than the arm or leg, with various muscles and joints between vertebrae, all having mechanical advantages less than 1. back muscles must, therefore, exert very large forces, which are borne by the spinal column. discs crushed by mere exertion are very common. the jaw is somewhat exc... | openstax_college_physics_2e-web_7zesafu | [
0.003934445325285196,
0.016195008531212807,
0.015265035443007946,
0.049636438488960266,
-0.015032240189611912,
-0.0018294691108167171,
0.008135245181620121,
0.008329859934747219,
-0.009351666085422039,
0.058116160333156586,
0.03398527577519417,
-0.01713760569691658,
-0.014101606793701649,
... |
to reduce back pain. prolonged muscle action produces muscle strain. note that the cg of the entire body is still directly above the base of support in part ( b ) of figure 9. 26. this is compulsory ; otherwise the person would not be in equilibrium. we lean forward for the same reason when carrying a load on our backs... | openstax_college_physics_2e-web_7zesafu | [
0.02666030265390873,
0.020481280982494354,
0.02240976132452488,
0.030358247458934784,
-0.007930288091301918,
0.005823238752782345,
0.023946624249219894,
0.012035731226205826,
0.022022491320967674,
0.05617358535528183,
0.01007244922220707,
-0.024241244420409203,
0.0006038922001607716,
-0.02... |
magnitude of the force in the back muscles that is needed to support the upper body plus the box and compare this with his weight. the mass of the upper body is 55. 0 kg and the mass of the box is 30. 0 kg. ( b ) calculate the magnitude and direction of the force exerted by the vertebrae on the spine at the indicated p... | openstax_college_physics_2e-web_7zesafu | [
0.0008171179215423763,
0.019127340987324715,
0.01563865691423416,
0.0037426925264298916,
-0.06642811745405197,
0.01228293962776661,
-0.012843198142945766,
0.025232309475541115,
0.017957035452127457,
0.055020928382873535,
0.04663379117846489,
-0.003996885847300291,
-0.012202544137835503,
-0... |
9. 6 • forces and torques in muscles and joints 379 solution for ( a ) using the perpendicular lever arms given in the figure, the second condition for equilibrium becomes solving for yields the ratio of the force the back muscles exert to the weight of the upper body plus its load is this force is considerably larger ... | openstax_college_physics_2e-web_7zesafu | [
-0.0013468845281749964,
0.020219609141349792,
0.03135938197374344,
0.009706093929708004,
-0.024040548130869865,
0.02953573688864708,
0.006287440657615662,
0.02157348021864891,
0.013522157445549965,
0.07475689053535461,
0.010125560685992241,
-0.025869717821478844,
-0.04287282004952431,
-0.0... |
9. 51 380 9 • statics and torque access for free at openstax. org load, creates much smaller forces in the back — in this case, about 5. 6 times smaller. figure 9. 28 this figure shows that large forces are exerted by the back muscles and experienced in the vertebrae when a person lifts with their back, since these mus... | openstax_college_physics_2e-web_7zesafu | [
0.006739562377333641,
0.02266984060406685,
0.03420832380652428,
0.009205173701047897,
-0.015010533854365349,
0.043442148715257645,
-0.009401225484907627,
-0.006685550790280104,
0.005123108625411987,
0.06011277437210083,
0.04692365974187851,
-0.024125108495354652,
-0.03571201488375664,
-0.0... |
9. 6 • forces and torques in muscles and joints 381 glossary center of gravity the point where the total weight of the body is assumed to be concentrated dynamic equilibrium a state of equilibrium in which the net external force and torque on a system moving with constant velocity are zero mechanical advantage the rati... | openstax_college_physics_2e-web_7zesafu | [
-0.05218655616044998,
0.04071509838104248,
-0.004148596897721291,
0.006693284027278423,
-0.02005494385957718,
0.008189920336008072,
0.017662182450294495,
0.009944797493517399,
-0.006735685281455517,
0.0505753718316555,
0.023968838155269623,
0.004799169488251209,
-0.020410630851984024,
-0.0... |
9. 2 the second condition for equilibrium • the second condition assures those torques are also balanced. torque is the rotational equivalent of a force in producing a rotation and is defined to be where is torque, is the distance from the pivot point to the point where the force is applied, is the magnitude of the for... | openstax_college_physics_2e-web_7zesafu | [
-0.04459429904818535,
0.048798318952322006,
0.009472194127738476,
-0.005410707555711269,
-0.022090207785367966,
0.02310336008667946,
0.008289107121527195,
-0.009665776044130325,
-0.006867218762636185,
0.06305095553398132,
0.023626213893294334,
0.006242763251066208,
-0.021169373765587807,
-... |
• the ratio of output to input forces for any simple machine is called its mechanical advantage • a few simple machines are the lever, nail puller, wheelbarrow, crank, etc. 382 9 • glossary access for free at openstax. org 9. 6 forces and torques in muscles and joints • statics plays an important part in understanding ... | openstax_college_physics_2e-web_7zesafu | [
-0.005384243559092283,
0.0373653806746006,
0.0023856672924011946,
-0.004262992646545172,
-0.019852256402373314,
0.025949876755475998,
-0.007861974649131298,
0.004897458013147116,
-0.01743781752884388,
0.06928067654371262,
0.0350964330136776,
0.0013158461079001427,
-0.029792627319693565,
-0... |
9. 2 the second condition for equilibrium 3. what three factors affect the torque created by a force relative to a specific pivot point? 4. a wrecking ball is being used to knock down a building. one tall unsupported concrete wall remains standing. if the wrecking ball hits the wall near the top, is the wall more likel... | openstax_college_physics_2e-web_7zesafu | [
-0.027200594544410706,
0.023909403011202812,
0.026562625542283058,
0.016080737113952637,
-0.018228324130177498,
0.017857583239674568,
-0.025430064648389816,
0.00715126795694232,
0.046395231038331985,
0.04831705614924431,
0.009592361748218536,
0.020800787955522537,
-0.022763730958104134,
-0... |
9. 5 simple machines 9. scissors are like a double - lever system. which of the simple machines in figure 9. 21 and figure 9. 22 is most analogous to scissors? 10. suppose you pull a nail at a constant rate using a nail puller as shown in figure 9. 21. is the nail puller in equilibrium? what if you pull the nail with s... | openstax_college_physics_2e-web_7zesafu | [
0.021555837243795395,
0.04166089743375778,
0.0028618709184229374,
-0.011639969423413277,
-0.016453294083476067,
0.03552885726094246,
-0.013679706491529942,
-0.008281420916318893,
-0.024427639320492744,
0.10984151810407639,
0.03817601501941681,
0.009730891324579716,
-0.01580425724387169,
-0... |
9. 6 forces and torques in muscles and joints 13. why are the forces exerted on the outside world by the limbs of our bodies usually much smaller than the forces exerted by muscles inside the body? 14. explain why the forces in our joints are several times larger than the forces we exert on the outside world with our l... | openstax_college_physics_2e-web_7zesafu | [
0.03158072754740715,
0.03490035608410835,
0.0038993279449641705,
0.00660772155970335,
-0.0061894250102341175,
0.04217170923948288,
0.016169967129826546,
0.0314115546643734,
-0.02175755985081196,
0.06712230294942856,
0.03656154125928879,
-0.0012045041657984257,
-0.030026238411664963,
-0.058... |
bolt )? ( b ) convert this torque to footpounds. 3. two children push on opposite sides of a door during play. both push horizontally and perpendicular to the door. one child pushes with a force of 17. 5 n at a distance of 0. 600 m from the hinges, and the second child pushes at a distance of 0. 450 m. what force must ... | openstax_college_physics_2e-web_7zesafu | [
-0.01676780916750431,
0.06755330413579941,
-0.008166776038706303,
-0.0012762313708662987,
-0.033861808478832245,
-0.012747399508953094,
-0.016886595636606216,
0.04192004352807999,
-0.03202681615948677,
0.04766399413347244,
0.018884172663092613,
0.0042938413098454475,
-0.011693271808326244,
... |
9. 3 stability 6. suppose a horse leans against a wall as in figure 9. 29, emulating a scene in the comedy movie cat ballou. calculate the force exerted on the wall assuming that force is horizontal while using the data in the schematic representation of the situation. note that the force exerted on the wall is equal i... | openstax_college_physics_2e-web_7zesafu | [
-0.009037538431584835,
0.06463122367858887,
0.03350339084863663,
0.012525323778390884,
-0.008004330098628998,
0.049401797354221344,
0.016962142661213875,
0.015248119831085205,
0.0021781898103654385,
0.05267970263957977,
0.03178144618868828,
0.01717829704284668,
-0.045067574828863144,
-0.03... |
and its bracing are shown in figure 9. 30. the wall is in stable equilibrium without the bracing but can pivot at its base. calculate the force exerted by each of the 10 braces if a strong wind exerts a horizontal force of 650 n on each square meter of the wall. assume that the net force from the wind acts at a height ... | openstax_college_physics_2e-web_7zesafu | [
-0.027215315029025078,
0.044837191700935364,
-0.002626379719004035,
0.003942272625863552,
-0.023615919053554535,
0.03410755842924118,
0.02804841659963131,
0.03162569925189018,
0.006528260186314583,
0.07721724361181259,
0.0316200889647007,
0.011079479940235615,
-0.018763761967420578,
-0.055... |
9. 32 with its center of mass halfway between the hinges and the cable attachments. ( the bridge is supported by the cables and hinges only. ) ( a ) find the force in the cables. ( b ) find the direction and magnitude of the force exerted by the hinges on the bridge. 9 • problems & exercises 385 14. a sandwich board ad... | openstax_college_physics_2e-web_7zesafu | [
-0.0258098766207695,
0.04761281982064247,
0.026782656088471413,
0.029693864285945892,
-0.023730983957648277,
0.016207952052354813,
0.005576320458203554,
0.02104531228542328,
-0.005577744450420141,
0.035984382033348083,
0.04058351367712021,
0.006847604177892208,
-0.04139505699276924,
-0.054... |
9. 4 applications of statics, including problem - solving strategies 17. to get up on the roof, a person ( mass 70. 0 kg ) places a 6. 00 - m aluminum ladder ( mass 10. 0 kg ) against the house on a concrete pad with the base of the ladder 2. 00 m from the house. the ladder rests against a plastic rain gutter, which we... | openstax_college_physics_2e-web_7zesafu | [
-0.002534238388761878,
0.009558173827826977,
0.027524501085281372,
0.01103945355862379,
0.00991880800575018,
0.021648619323968887,
0.0013498442713171244,
0.07577379792928696,
0.027980592101812363,
0.07014767080545425,
0.049136728048324585,
-0.0317743644118309,
-0.029215246438980103,
-0.043... |
9. 5 simple machines 19. what is the mechanical advantage of a nail puller — similar to the one shown in figure 9. 21 — where you exert a force from the pivot and the nail is on the other side? what minimum force must you exert to apply a force of to the nail? 20. suppose you needed to raise a 250 - kg mower a distance... | openstax_college_physics_2e-web_7zesafu | [
0.025401132181286812,
0.025211352854967117,
0.00781331304460764,
-0.013096059672534466,
-0.031142188236117363,
0.061509937047958374,
-0.009273397736251354,
-0.013071552850306034,
-0.027003929018974304,
0.10003982484340668,
0.08907592296600342,
0.017806770280003548,
-0.03438227251172066,
-0... |
for the pulley shown in figure 9. 24 ( c ), assuming you pull straight up on the rope. the pulley system ’ s mass is. 9. 6 forces and torques in muscles and joints 26. verify that the force in the elbow joint in example | openstax_college_physics_2e-web_7zesafu | [
0.028472742065787315,
0.03369537368416786,
0.015565398149192333,
0.02184077352285385,
0.018065350130200386,
0.022603120654821396,
0.039375267922878265,
-0.0024484586901962757,
0.0013474584557116032,
0.0773736909031868,
0.03990163654088974,
0.04351213201880455,
-0.04829923436045647,
-0.0244... |
9. 4 is 407 n, as stated in the text. 27. two muscles in the back of the leg pull on the achilles tendon as shown in figure 9. 35. what total force do they exert? figure 9. 35 the achilles tendon of the posterior leg serves to attach plantaris, gastrocnemius, and soleus muscles to calcaneus bone. 28. the upper leg musc... | openstax_college_physics_2e-web_7zesafu | [
0.007800380699336529,
0.006866618990898132,
0.016744673252105713,
0.022245774045586586,
0.005456806160509586,
0.06999153643846512,
0.016666872426867485,
-0.021324360743165016,
0.02467280998826027,
0.08211494982242584,
0.05381783843040466,
-0.008394618518650532,
-0.026463700458407402,
-0.02... |
using the same numbers as in example 9. 4, find the force exerted by the biceps muscle when the angle is and the forearm is in a downward position. 32. even when the head is held erect, as in figure 9. 39, its center of mass is not directly over the principal point of support ( the atlanto - occipital joint ). the musc... | openstax_college_physics_2e-web_7zesafu | [
0.015414622612297535,
0.018603093922138214,
0.012183665297925472,
-0.0012909120414406061,
0.010707702487707138,
0.01270156167447567,
0.008675125427544117,
-0.010917593725025654,
0.04270981252193451,
0.08768382668495178,
0.07491769641637802,
-0.003314229194074869,
-0.015141638927161694,
-0.... |
far from the joint, enabling large forces to be exerted by the back teeth. ( a ) using the information in the figure, calculate the force exerted by the lower teeth on the bullet. ( b ) calculate the force on the joint. figure 9. 42 a person clenching a bullet between his teeth. 36. integrated concepts suppose we repla... | openstax_college_physics_2e-web_7zesafu | [
0.030236968770623207,
0.02213047631084919,
-0.013330643996596336,
0.03603667393326759,
-0.012862381525337696,
-0.03397079557180405,
0.014113811776041985,
-0.02037179097533226,
0.01018779631704092,
0.0742366835474968,
0.04201589897274971,
0.025751516222953796,
-0.020692218095064163,
-0.0556... |
9. 31 of the biceps muscle with an elastic exercise rope that obeys hooke ’ s law. assume its force constant. ( a ) how much is the rope stretched ( past equilibrium ) to provide the same force as in this example? assume the rope is held in the hand at the same location as the book. ( b ) what force is on the biceps mu... | openstax_college_physics_2e-web_7zesafu | [
0.020760633051395416,
0.0669444128870964,
0.020945440977811813,
-0.0012924816692247987,
-0.027972254902124405,
0.045741964131593704,
0.02406778745353222,
0.01413273997604847,
0.022523319348692894,
0.09860461205244064,
0.028961002826690674,
0.0008584558963775635,
-0.0371381938457489,
-0.029... |
20. 0 cm from the elbow joint. calculate the magnitude of the force in each triceps muscle, and compare it to her weight. ( c ) how much work does she do if her center of mass rises 0. 240 m? ( d ) what is her useful power output if she does 25 pushups in one minute? figure 9. 43 a woman doing pushups. 38. you have jus... | openstax_college_physics_2e-web_7zesafu | [
0.0010208215098828077,
0.027590330690145493,
0.01881204918026924,
-0.01409095898270607,
-0.020238198339939117,
0.017120467498898506,
0.0011743567883968353,
0.036016516387462616,
-0.0000686897910782136,
0.04927213490009308,
0.05852597951889038,
0.002665397245436907,
0.005064523778855801,
-0... |
the subject lies on her back, extends her relaxed arm to the side and two scales are placed below the arm. one is placed under the elbow and the other under the back of her hand. construct a problem in which you calculate the mass of the arm and find its center of mass based on the scale readings and the distances of t... | openstax_college_physics_2e-web_7zesafu | [
-0.030745645985007286,
0.048321064561605453,
0.021964190527796745,
-0.021911537274718285,
-0.00224149227142334,
0.006190099753439426,
0.013000917620956898,
-0.004867716692388058,
-0.00621844083070755,
0.04386110603809357,
0.02962103858590126,
0.012050934135913849,
-0.007114915642887354,
-0... |
10. 7 gyroscopic effects : vector aspects of angular momentum why do tornadoes spin at all? and why do tornados spin so rapidly? the answer is that air masses that produce tornadoes are themselves rotating, and when the radii of the air masses decrease, their rate of rotation increases. an ice skater increases her spin... | openstax_college_physics_2e-web_7zesafu | [
-0.009996195323765278,
0.040033675730228424,
-0.012077949941158295,
-0.00005478192542796023,
0.03266679123044014,
0.048687733709812164,
-0.014430267736315727,
-0.020172573626041412,
-0.05411689355969429,
0.05790092051029205,
0.014410187490284443,
-0.005262613296508789,
-0.003958691842854023,... |
10. 1 angular acceleration learning objectives by the end of this section, you will be able to : • describe uniform circular motion. • explain non - uniform circular motion. • calculate angular acceleration of an object. • observe the link between linear and angular acceleration. uniform circular motion and gravitation... | openstax_college_physics_2e-web_7zesafu | [
0.015166464261710644,
0.051478538662195206,
-0.023112693801522255,
-0.041470397263765335,
-0.008214747533202171,
0.01835949532687664,
0.012755054980516434,
-0.018613101914525032,
-0.01521960087120533,
0.06696721911430359,
0.04061441868543625,
0.042291782796382904,
0.020599976181983948,
-0.... |
10. 3 392 10 • rotational motion and angular momentum access for free at openstax. org angular velocity is not constant when a skater pulls in her arms, when a child starts up a merry - go - round from rest, or when a computer ’ s hard disk slows to a halt when switched off. in all these cases, there is an angular acce... | openstax_college_physics_2e-web_7zesafu | [
-0.019555043429136276,
0.046354878693819046,
-0.004038484301418066,
0.008575051091611385,
0.027447031810879707,
-0.0034789624623954296,
-0.007151859346777201,
-0.03473127633333206,
-0.037210069596767426,
0.07512836903333664,
0.02469419315457344,
0.01757495105266571,
-0.008293704129755497,
... |
, so that is, and is given to be. thus, 10. 4 10. 5 10. 6 10. 7 10. 8 | openstax_college_physics_2e-web_7zesafu | [
0.027597885578870773,
-0.019921962171792984,
0.008668831549584866,
-0.0020139680709689856,
-0.04707057774066925,
0.006004690658301115,
0.021505536511540413,
0.014818349853157997,
-0.01401989720761776,
0.03325464203953743,
0.030387042090296745,
0.024179916828870773,
0.0028050036635249853,
-... |
10. 1 • angular acceleration 393 discussion note that the angular acceleration as the girl spins the wheel is small and positive ; it takes 5 s to produce an appreciable angular velocity. when she hits the brake, the angular acceleration is large and negative. the angular velocity quickly goes to zero. in both cases, t... | openstax_college_physics_2e-web_7zesafu | [
-0.012186027131974697,
0.03721104934811592,
-0.004268356133252382,
-0.010634558275341988,
-0.024131815880537033,
0.02563263662159443,
-0.007549172732979059,
-0.025667263194918633,
0.0032022877130657434,
0.0665239691734314,
0.0020680390298366547,
0.02900519408285618,
-0.008772114291787148,
... |
thus perpendicular to each other. now we can find the exact relationship between linear acceleration and angular acceleration. because linear acceleration is proportional to a change in the magnitude of the velocity, it is defined ( as it was in one - dimensional | openstax_college_physics_2e-web_7zesafu | [
-0.025299228727817535,
0.06735293567180634,
-0.016331564635038376,
-0.00006802602729294449,
-0.011888195760548115,
0.05238424986600876,
-0.01833667792379856,
-0.014052708633244038,
0.009584835730493069,
0.05157250910997391,
-0.00450205197557807,
0.025171829387545586,
-0.02625364623963833,
... |
10. 9 394 10 • rotational motion and angular momentum access for free at openstax. org kinematics ) to be for circular motion, note that, so that the radius is constant for circular motion, and so. thus, by definition,. thus, or these equations mean that linear acceleration and angular acceleration are directly proport... | openstax_college_physics_2e-web_7zesafu | [
-0.005158403888344765,
0.042588915675878525,
0.0028299654368311167,
-0.009375881403684616,
-0.0030105323530733585,
0.05390939116477966,
-0.0034877725411206484,
0.0062279910780489445,
-0.021067215129733086,
0.07100709527730942,
0.04590494558215141,
0.037574414163827896,
-0.009417016990482807,... |
10. 1 • angular acceleration 395 discussion units of radians are dimensionless and appear in any relationship between angular and linear quantities. so far, we have defined three rotational quantities —, and. these quantities are analogous to the translational quantities, and. table 10. 1 displays rotational quantities... | openstax_college_physics_2e-web_7zesafu | [
-0.0035778935998678207,
0.018549326807260513,
-0.01563633419573307,
-0.02334888093173504,
-0.010171131230890751,
0.03650466725230217,
0.05035194754600525,
-0.029822396114468575,
-0.04442545771598816,
0.041466183960437775,
0.009541422128677368,
0.04113955795764923,
-0.03060098923742771,
-0.... |
10. 16 making connections : take - home experiment sit down with your feet on the ground on a chair that rotates. lift one of your legs such that it is unbent ( straightened out ). using the other leg, begin to rotate yourself by pushing on the ground. stop using your leg to push the ground but allow the chair to rotat... | openstax_college_physics_2e-web_7zesafu | [
0.0015309950103983283,
0.022234231233596802,
-0.02618340589106083,
-0.01690736971795559,
-0.00425690645352006,
0.018530167639255524,
-0.02020932547748089,
0.04420902952551842,
0.002346242778003216,
0.06533552706241608,
0.03176364675164223,
0.0012881782604381442,
0.023871399462223053,
-0.03... |
10. 2 kinematics of rotational motion learning objectives by the end of this section, you will be able to : • observe the kinematics of rotational motion. • derive rotational kinematic equations. • evaluate problem solving strategies for rotational kinematics. just by using our intuition, we can begin to see how rotati... | openstax_college_physics_2e-web_7zesafu | [
0.007195398677140474,
0.03528810665011406,
0.01729700341820717,
0.01055921334773302,
0.004208561033010483,
0.027940621599555016,
-0.006177012342959642,
-0.004666486289352179,
-0.030949996784329414,
0.06843607127666473,
0.017755430191755295,
0.06021016091108322,
-0.00968123134225607,
-0.024... |
##tic equations ( presented together with their translational counterparts ) : rotational translational ( constant, ) ( constant, ) ( constant, ) table 10. 2 rotational kinematic equations 10. 17 10. 18 10. 19 making connections kinematics for rotational motion is completely analogous to translational kinematics, first... | openstax_college_physics_2e-web_7zesafu | [
0.0040466273203492165,
0.02213861234486103,
0.03240475803613663,
-0.03183713182806969,
0.013107276521623135,
0.009529367089271545,
0.012750821188092232,
-0.024022439494729042,
-0.046597920358181,
0.07080618292093277,
0.00018239936616737396,
0.07620522379875183,
-0.01249820739030838,
-0.038... |
10. 2 • kinematics of rotational motion 397 in these equations, the subscript 0 denotes initial values (,, and are initial values ), and the average angular velocity and average velocity are defined as follows : the equations given above in table 10. 2 can be used to solve any rotational or translational kinematics pro... | openstax_college_physics_2e-web_7zesafu | [
0.017299942672252655,
0.04161827266216278,
-0.001066599041223526,
-0.019934192299842834,
-0.029678400605916977,
-0.00936321634799242,
-0.007452183868736029,
-0.0071289376355707645,
0.008044709451496601,
0.07495314627885818,
0.024965371936559677,
0.05670756474137306,
-0.012809090316295624,
... |
10. 20 problem - solving strategy for rotational kinematics 1. examine the situation to determine that rotational kinematics ( rotational motion ) is involved. rotation must be involved, but without the need to consider forces or masses that affect the motion. 2. identify exactly what needs to be determined in the prob... | openstax_college_physics_2e-web_7zesafu | [
0.00950715783983469,
0.03279374539852142,
-0.003785831155255437,
-0.010070092976093292,
0.0016321026487275958,
0.011996038258075714,
-0.006911603733897209,
0.00927236583083868,
-0.024234499782323837,
0.05194364860653877,
0.017831983044743538,
0.0463634617626667,
0.012288892641663551,
-0.02... |
10. 23 398 10 • rotational motion and angular momentum access for free at openstax. org note again that radians must always be used in any calculation relating linear and angular quantities. also, because radians are dimensionless, we have. solution for ( c ) here, we are asked to find the number of revolutions. becaus... | openstax_college_physics_2e-web_7zesafu | [
0.020039871335029602,
0.034257713705301285,
0.013394215144217014,
-0.02262772060930729,
-0.03291264548897743,
-0.011617409065365791,
-0.0022125504910945892,
-0.01225867960602045,
-0.013353790156543255,
0.09007347375154495,
0.04914712905883789,
0.012419112958014011,
-0.01953647844493389,
-0... |
24 10. 25 10. 26 10. 27 | openstax_college_physics_2e-web_7zesafu | [
0.038334354758262634,
-0.014909714460372925,
-0.02577287331223488,
0.009337931871414185,
-0.05920911580324173,
-0.007483333349227905,
0.012347676791250706,
0.051610808819532394,
-0.009981207549571991,
0.04828943684697151,
0.01985226571559906,
0.010559238493442535,
-0.004907044116407633,
-0... |
10. 2 • kinematics of rotational motion 399 examining the available equations, we see all quantities but t are known in making it easiest to use this equation. solution the equation states we solve the equation algebraically for t, and then substitute the known values as usual, yielding discussion note that care must b... | openstax_college_physics_2e-web_7zesafu | [
0.029275568202137947,
0.03626810759305954,
0.020306264981627464,
0.007170261815190315,
-0.021191801875829697,
-0.008426270447671413,
0.0032229723874479532,
-0.014710726216435432,
0.007812110241502523,
0.06915730983018875,
0.025286171585321426,
0.03276535123586655,
-0.015585982240736485,
-0... |
this equation and entering the known values gives 10. 28 10. 29 10. 30 10. 31 10. 32 10. 33 | openstax_college_physics_2e-web_7zesafu | [
0.014957751147449017,
0.04758700728416443,
0.0038282109890133142,
-0.03197399899363518,
-0.014162245206534863,
-0.014957815408706665,
0.03238523006439209,
0.03119797073304653,
0.008402767591178417,
0.08154597878456116,
0.03978044167160988,
0.023057950660586357,
-0.011312739923596382,
-0.04... |
10. 34 400 10 • rotational motion and angular momentum access for free at openstax. org we can find the linear velocity of the train,, through its relationship to : discussion the distance traveled is fairly large and the final velocity is fairly slow ( just under 32 km / h ). there is translational motion even for som... | openstax_college_physics_2e-web_7zesafu | [
-0.011376536451280117,
0.008728115819394588,
0.0082083810120821,
0.0037891464307904243,
-0.004123102407902479,
0.04949264973402023,
-0.00396336754783988,
-0.009390086866915226,
0.011738798581063747,
0.03681167960166931,
0.017007047310471535,
0.026137329638004303,
0.0013578563230112195,
-0.... |
10. 2 • kinematics of rotational motion 401 discussion quite a trip ( if it survives )! note that this distance is the total distance traveled by the fly. displacement is actually zero for complete revolutions because they bring the fly back to its original position. the distinction between total distance traveled and ... | openstax_college_physics_2e-web_7zesafu | [
-0.005233712960034609,
0.012924345210194588,
0.025080816820263863,
-0.028887325897812843,
0.017495058476924896,
0.003813296090811491,
-0.009292865172028542,
0.0034464464988559484,
-0.015796726569533348,
0.08016296476125717,
0.01434313040226698,
0.05186844617128372,
0.003529826644808054,
-0... |
10. 3 dynamics of rotational motion : rotational inertia learning objectives by the end of this section, you will be able to : • understand the relationship between force, mass and acceleration. • study the turning effect of force. • study the analogy between force and torque, mass and moment of inertia, and linear acc... | openstax_college_physics_2e-web_7zesafu | [
-0.012676086276769638,
0.04782859981060028,
0.0030703535303473473,
-0.010109375230967999,
-0.03220664709806442,
0.03210225701332092,
-0.021656516939401627,
-0.025399625301361084,
-0.02516249194741249,
0.049897149205207825,
0.031139174476265907,
0.03326932340860367,
0.0047488161362707615,
-... |
yielding recall that torque is the turning effectiveness of a force. in this case, because is perpendicular to, torque is simply. so, if we multiply both sides of the equation above by, we get torque on the left - hand side. that is, | openstax_college_physics_2e-web_7zesafu | [
-0.014100770466029644,
0.021044770255684853,
-0.022855324670672417,
-0.024754032492637634,
-0.050232067704200745,
-0.0016638439847156405,
0.04360807687044144,
-0.01933562196791172,
0.028426744043827057,
0.048159826546907425,
0.02269257791340351,
0.02614055760204792,
-0.01935950666666031,
-... |
10. 40 402 10 • rotational motion and angular momentum access for free at openstax. org or this last equation is the rotational analog of newton ’ s second law ( ), where torque is analogous to force, angular acceleration is analogous to translational acceleration, and is analogous to mass ( or inertia ). the quantity ... | openstax_college_physics_2e-web_7zesafu | [
-0.02705434150993824,
0.018046168610453606,
0.00028108537662774324,
-0.024957221001386642,
-0.016151541844010353,
0.022045018151402473,
0.01035691425204277,
-0.052880220115184784,
-0.00928549561649561,
0.0587005577981472,
0.04498312994837761,
0.03543227165937424,
-0.016644081100821495,
-0.... |
body. note that has units of mass multiplied by distance squared ( ), as we might expect from its definition. the general relationship among torque, moment of inertia, and angular acceleration is or where net is the total torque from all forces relative to a chosen axis. for simplicity, we will only consider torques ex... | openstax_college_physics_2e-web_7zesafu | [
-0.024526996538043022,
0.042033687233924866,
0.005276320967823267,
-0.021532511338591576,
-0.004282370209693909,
0.022486822679638863,
0.008116327226161957,
-0.05045536160469055,
0.017083894461393356,
0.04479968175292015,
0.02809775248169899,
0.02390380948781967,
0.012581088580191135,
-0.0... |
10. 3 • dynamics of rotational motion : rotational inertia 403 pushes on a merry - go - round, the faster it accelerates. furthermore, the more massive a merry - go - round, the slower it accelerates for the same torque. the basic relationship between moment of inertia and angular acceleration is that the larger the mo... | openstax_college_physics_2e-web_7zesafu | [
-0.039782263338565826,
0.038667600601911545,
0.013822262175381184,
-0.0289924219250679,
-0.01124349981546402,
0.033330969512462616,
-0.01573244296014309,
-0.027816874906420708,
-0.00603870302438736,
0.05173204466700554,
0.015443927608430386,
0.03132001310586929,
0.01694599911570549,
-0.032... |
mass are involved in the rotation. draw a careful sketch of the situation. 2. determine the system of interest. 3. draw a free body diagram. that is, draw and label all external forces acting on the system of interest. 4. apply, the rotational equivalent of newton ’ s second law, to solve the problem. care must be take... | openstax_college_physics_2e-web_7zesafu | [
-0.05438599735498428,
0.04239225760102272,
0.011053051799535751,
-0.024163348600268364,
-0.010723326355218887,
0.0020892785396426916,
-0.016238510608673096,
-0.014403869397938251,
0.0061068288050591946,
0.05459097772836685,
0.014435257762670517,
0.028098976239562035,
0.03361906856298447,
-... |
10. 3 • dynamics of rotational motion : rotational inertia 405 figure 10. 12 a father pushes a playground merry - go - round at its edge and perpendicular to its radius to achieve maximum torque. strategy angular acceleration is given directly by the expression : to solve for, we must first calculate the torque ( which... | openstax_college_physics_2e-web_7zesafu | [
-0.02431226149201393,
0.03837253525853157,
0.01615004800260067,
-0.032066818326711655,
0.00034913033596239984,
0.005562035366892815,
-0.018227839842438698,
0.00034197710920125246,
0.013636775314807892,
0.022056739777326584,
0.02027328871190548,
0.040307022631168365,
0.008364109322428703,
-... |
10. 52 406 10 • rotational motion and angular momentum access for free at openstax. org negligible. if, for example, the father kept pushing perpendicularly for 2. 00 s, he would give the merry - go - round an angular velocity of 13. 3 rad / s when it is empty but only 8. 89 rad / s when the child is on it. in terms of... | openstax_college_physics_2e-web_7zesafu | [
-0.02769823931157589,
0.023274922743439674,
0.018599605187773705,
-0.0436004139482975,
-0.040689047425985336,
0.036982953548431396,
-0.004571613389998674,
-0.03514622524380684,
-0.002947145374491811,
0.04396643117070198,
0.03305579721927643,
0.011398396454751492,
0.008779616095125675,
-0.0... |
10. 4 rotational kinetic energy : work and energy revisited learning objectives by the end of this section, you will be able to : • derive the equation for rotational work. • calculate rotational kinetic energy. • demonstrate the law of conservation of energy. in this module, we will learn about work and energy associa... | openstax_college_physics_2e-web_7zesafu | [
-0.00829858798533678,
0.01465119794011116,
-0.015212000347673893,
-0.009631199762225151,
-0.02798696607351303,
-0.01042141579091549,
-0.027273347601294518,
-0.017786210402846336,
-0.019902393221855164,
0.042091649025678635,
0.01907294988632202,
0.05633779242634773,
0.03954370319843292,
-0.... |
10. 4 • rotational kinetic energy : work and energy revisited 407 this equation is the expression for rotational work. it is very similar to the familiar definition of translational work as force multiplied by distance. here, torque is analogous to force, and angle is analogous to distance. the equation is valid in gen... | openstax_college_physics_2e-web_7zesafu | [
-0.03522123023867607,
0.02021285519003868,
0.01797858625650406,
-0.0020399680361151695,
0.0007248289766721427,
-0.010969894006848335,
0.011600542813539505,
-0.009140616282820702,
-0.04983172565698624,
0.06050362065434456,
0.037892770022153854,
0.05476704239845276,
0.015807533636689186,
-0.... |
10. 60 408 10 • rotational motion and angular momentum access for free at openstax. org figure 10. 15 experimental vehicles, such as this bus, have been constructed in which rotational kinetic energy is stored in a large flywheel. when the bus goes down a hill, its transmission converts its gravitational potential ener... | openstax_college_physics_2e-web_7zesafu | [
-0.010746026411652565,
0.0005627390346489847,
0.01568351499736309,
-0.001684981514699757,
-0.023032406345009804,
-0.010069952346384525,
-0.028238413855433464,
0.00173912663012743,
-0.03287818282842636,
0.05922996252775192,
0.03924939036369324,
0.03935457020998001,
0.03629529848694801,
-0.0... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.