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{
"language": "en",
"country": "India",
"file_name": "me2_2022.pdf",
"source": "https://gate.iitkgp.ac.in/documents/gatepapers/2022/me2_2022.pdf",
"license": "Education and Research",
"level": "Graduate Aptitude Test in Engineering (GATE)",
"category_en": "Mechanical Engineering",
"category_original_lang": "मैकेनिकल इंजीनियरिंग",
"original_question_num": 11,
"question": "F(t) is a periodic square wave function as shown. It takes only two values, 4 and 0, and stays at each of these values for 1 second before changing. What is the constant term in the Fourier series expansion of F(t)?",
"options": [
"1",
"2",
"3",
"4"
],
"answer": 1,
"image_png": "me2_question_11.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id":null
},
{
"language": "en",
"country": "India",
"file_name": "me2_2022.pdf",
"source": "https://gate.iitkgp.ac.in/documents/gatepapers/2022/me2_2022.pdf",
"license": "Education and Research",
"level": "Graduate Aptitude Test in Engineering (GATE)",
"category_en": "Mechanical Engineering",
"category_original_lang": "मैकेनिकल इंजीनियरिंग",
"original_question_num": 17,
"question": "A massive uniform rigid circular disc is mounted on a frictionless bearing at the end E of a massive uniform rigid shaft AE which is suspended horizontally in a uniform gravitational field by two identical light inextensible strings AB and CD as shown, where G is the center of mass of the shaft-disc assembly and 𝑔 is the acceleration due to gravity. The disc is then given a rapid spin 𝜔 about its axis in the positive x axis direction as shown, while the shaft remains at rest. The direction of rotation is defined by using the right-hand thumb rule. If the string AB is suddenly cut, assuming neglible energy dissipation, the shaft AE will",
"options": [
"rotate slowly (compared to 𝜔) about the negative z-axis direction",
"rotate slowly (compared to 𝜔) about the positive z-axis direction",
"rotate slowly (compared to 𝜔) about the positive y-axis direction",
"rotate slowly (compared to 𝜔) about the negative y-axis direction"
],
"answer": 0,
"image_png": "me2_question_17.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id":null
},
{
"language": "en",
"country": "India",
"file_name": "me2_2022.pdf",
"source": "https://gate.iitkgp.ac.in/documents/gatepapers/2022/me2_2022.pdf",
"license": "Education and Research",
"level": "Graduate Aptitude Test in Engineering (GATE)",
"category_en": "Mechanical Engineering",
"category_original_lang": "मैकेनिकल इंजीनियरिंग",
"original_question_num": 19,
"question": "Fluidity of a molten alloy during sand casting depends on its solidification range. The phase diagram of a hypothetical binary alloy of components A and B is shown in the figure with its eutectic composition and temperature. All the lines in this phase diagram, including the solidus and liquidus lines, are straight lines. If this binary alloy with 15 weight % of B is poured into a mould at a pouring temperature of 800 ºC, then the solidification range is",
"options": [
"400 ºC",
"250 ºC",
"800 ºC",
"150 ºC"
],
"answer": 3,
"image_png": "me2_question_19.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id":null
},
{
"language": "en",
"country": "India",
"file_name": "me2_2022.pdf",
"source": "https://gate.iitkgp.ac.in/documents/gatepapers/2022/me2_2022.pdf",
"license": "Education and Research",
"level": "Graduate Aptitude Test in Engineering (GATE)",
"category_en": "Mechanical Engineering",
"category_original_lang": "मैकेनिकल इंजीनियरिंग",
"original_question_num": 20,
"question": "A shaft of diameter 25₋₀.₀₇⁻⁰.⁰⁴ mm is assembled in a hole of diameter 25₋₀.₀₀⁺⁰.⁰² mm. Match the allowance and limit parameter in Column I with its corresponding quantitative value in Column II for this shaft-hole assembly.",
"options": [
"P-3, Q-1, R-4",
"P-1, Q-3, R-2",
"P-1, Q-3, R-4",
"P-3, Q-1, R-2"
],
"answer": 0,
"image_png": "me2_question_20.png",
"image_information": "essential",
"image_type": "table",
"parallel_question_id":null
},
{
"language": "en",
"country": "India",
"file_name": "me2_2022.pdf",
"source": "https://gate.iitkgp.ac.in/documents/gatepapers/2022/me2_2022.pdf",
"license": "Education and Research",
"level": "Graduate Aptitude Test in Engineering (GATE)",
"category_en": "Mechanical Engineering",
"category_original_lang": "मैकेनिकल इंजीनियरिंग",
"original_question_num": 21,
"question": "Match the additive manufacturing technique in Column I with its corresponding input material in Column II.",
"options": [
"P-3, Q-4, R-2",
"P-1, Q-2, R-4",
"P-2, Q-3, R-1",
"P-4, Q-1, R-4"
],
"answer": 0,
"image_png": "me2_question_21.png",
"image_information": "essential",
"image_type": "table",
"parallel_question_id":null
},
{
"language": "en",
"country": "India",
"file_name": "me2_2022.pdf",
"source": "https://gate.iitkgp.ac.in/documents/gatepapers/2022/me2_2022.pdf",
"license": "Education and Research",
"level": "Graduate Aptitude Test in Engineering (GATE)",
"category_en": "Mechanical Engineering",
"category_original_lang": "मैकेनिकल इंजीनियरिंग",
"original_question_num": 24,
"question": "Consider a steady flow through a horizontal divergent channel, as shown in the figure, with supersonic flow at the inlet. The direction of flow is from left to right. Pressure at location B is observed to be higher than that at an upstream location A. Which among the following options can be the reason?",
"options": [
"Since volume flow rate is constant, velocity at B is lower than velocity at A",
"Normal shock",
"Viscous effect",
"Boundary layer separation"
],
"answer": 1,
"image_png": "me2_question_24.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id":null
},
{
"language": "en",
"country": "India",
"file_name": "me2_2022.pdf",
"source": "https://gate.iitkgp.ac.in/documents/gatepapers/2022/me2_2022.pdf",
"license": "Education and Research",
"level": "Graduate Aptitude Test in Engineering (GATE)",
"category_en": "Mechanical Engineering",
"category_original_lang": "मैकेनिकल इंजीनियरिंग",
"original_question_num": 37,
"question": "A rigid homogeneous uniform block of mass 1 kg, height ℎ=0.4 m and width b=0.3 m is pinned at one corner and placed upright in a uniform gravitational field (𝑔=9.81 m/s2), supported by a roller in the configuration shown in the figure. A short duration (impulsive) force 𝐹, producing an impulse 𝐼H, is applied at a height of 𝑑=0.3 m from the bottom as shown. Assume all joints to be frictionless. The minimum value of 𝐼H required to topple the block is",
"options": [
"0.953 Ns",
"1.403 Ns",
"0.814 Ns",
"1.172 Ns"
],
"answer": 0,
"image_png": "me2_question_37.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id":null
},
{
"language": "en",
"country": "India",
"file_name": "me2_2022.pdf",
"source": "https://gate.iitkgp.ac.in/documents/gatepapers/2022/me2_2022.pdf",
"license": "Education and Research",
"level": "Graduate Aptitude Test in Engineering (GATE)",
"category_en": "Mechanical Engineering",
"category_original_lang": "मैकेनिकल इंजीनियरिंग",
"original_question_num": 38,
"question": "A linear elastic structure under plane stress condition is subjected to two sets of loading, I and II. The resulting states of stress at a point corresponding to these two loadings are as shown in the figure below. If these two sets of loading are applied simultaneously, then the net normal component of stress 𝜎ₓₓ is ________.",
"options": [
"3𝜎/2",
"𝜎 (1+ 1/√2)",
"𝜎/2",
"𝜎 (1− 1/√2)"
],
"answer": 0,
"image_png": "me2_question_38.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id":null
},
{
"language": "en",
"country": "India",
"file_name": "me2_2022.pdf",
"source": "https://gate.iitkgp.ac.in/documents/gatepapers/2022/me2_2022.pdf",
"license": "Education and Research",
"level": "Graduate Aptitude Test in Engineering (GATE)",
"category_en": "Mechanical Engineering",
"category_original_lang": "मैकेनिकल इंजीनियरिंग",
"original_question_num": 39,
"question": "A rigid body in the X-Y plane consists of two point masses (1 kg each) attached to the ends of two massless rods, each of 1 cm length, as shown in the figure. It rotates at 30 RPM counter-clockwise about the Z-axis passing through point O. A point mass of √2 kg, attached to one end of a third massless rod, is used for balancing the body by attaching the free end of the rod to point O. The length of the third rod is ________ cm.",
"options": [
"1",
"√2",
"1/√2",
"1/2√2"
],
"answer": 0,
"image_png": "me2_question_39.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id":null
},
{
"language": "en",
"country": "India",
"file_name": "me2_2022.pdf",
"source": "https://gate.iitkgp.ac.in/documents/gatepapers/2022/me2_2022.pdf",
"license": "Education and Research",
"level": "Graduate Aptitude Test in Engineering (GATE)",
"category_en": "Mechanical Engineering",
"category_original_lang": "मैकेनिकल इंजीनियरिंग",
"original_question_num": 40,
"question": "A spring mass damper system (mass m, stiffness k, and damping coefficient c) excited by a force 𝐹(𝑡)=𝐵sin𝜔𝑡, where 𝐵, 𝜔 and 𝑡 are the amplitude, frequency and time, respectively, is shown in the figure. Four different responses of the system (marked as (i) to (iv)) are shown just to the right of the system figure. In the figures of the responses, 𝐴 is the amplitude of response shown in red color and the dashed lines indicate its envelope. The responses represent only the qualitative trend and those are not drawn to any specific scale. Which one of the following options gives correct match (indicated by arrow →) of the parameter and forcing conditions to the responses?",
"options": [
"(P) → (i), (Q) → (iii), (R) → (iv), (S) → (ii)",
"(P) → (ii), (Q) → (iii), (R) → (iv), (S) → (i)",
"(P) → (i), (Q) → (iv), (R) → (ii), (S) → (iii)",
"(P) → (iii), (Q) → (iv), (R) → (ii), (S) → (i)"
],
"answer": 2,
"image_png": "me2_question_40.png",
"image_information": "essential",
"image_type": "diagram",
"parallel_question_id":null
},
{
"language": "en",
"country": "India",
"file_name": "me2_2022.pdf",
"source": "https://gate.iitkgp.ac.in/documents/gatepapers/2022/me2_2022.pdf",
"license": "Education and Research",
"level": "Graduate Aptitude Test in Engineering (GATE)",
"category_en": "Mechanical Engineering",
"category_original_lang": "मैकेनिकल इंजीनियरिंग",
"original_question_num": 41,
"question": "Parts P1-P7 are machined first on a milling machine and then polished at a separate machine. Using the information in the following table, the minimum total completion time required for carrying out both the operations for all 7 parts is __________ hours.",
"options": [
"31",
"33",
"30",
"32"
],
"answer": 1,
"image_png": "me2_question_41.png",
"image_information": "essential",
"image_type": "table",
"parallel_question_id":null
},
{
"language": "en",
"country": "India",
"file_name": "me2_2022.pdf",
"source": "https://gate.iitkgp.ac.in/documents/gatepapers/2022/me2_2022.pdf",
"license": "Education and Research",
"level": "Graduate Aptitude Test in Engineering (GATE)",
"category_en": "Mechanical Engineering",
"category_original_lang": "मैकेनिकल इंजीनियरिंग",
"original_question_num": 42,
"question": "A manufacturing unit produces two products P1 and P2. For each piece of P1 and P2, the table below provides quantities of materials M1, M2, and M3 required, and also the profit earned. The maximum quantity available per day for M1, M2 and M3 is also provided. The maximum possible profit per day is ₹__________.",
"options": [
"5000",
"4000",
"3000",
"6000"
],
"answer": 1,
"image_png": "me2_question_42.png",
"image_information": "essential",
"image_type": "table",
"parallel_question_id":null
},
{
"language": "en",
"country": "India",
"file_name": "me2_2022.pdf",
"source": "https://gate.iitkgp.ac.in/documents/gatepapers/2022/me2_2022.pdf",
"license": "Education and Research",
"level": "Graduate Aptitude Test in Engineering (GATE)",
"category_en": "Mechanical Engineering",
"category_original_lang": "मैकेनिकल इंजीनियरिंग",
"original_question_num": 43,
"question": "A tube of uniform diameter D is immersed in a steady flowing inviscid liquid stream of velocity V, as shown in the figure. Gravitational acceleration is represented by 𝑔. The volume flow rate through the tube is ______.",
"options": [
"(𝜋/4) * D²V",
"(𝜋/4) * D² √(2gh₂)",
"(𝜋/4) * D² √(2g(h₂+h₁))",
"(𝜋/4) * D² √(V² - 2gh₂)"
],
"answer": 3,
"image_png": "me2_question_43.png",
"image_information": "essential",
"image_type": "table",
"parallel_question_id":null
}
] |