GATE ME format:mcq PYQs & Answers — Page 8

Questions 71–80 of 599. Imported answers require independent review unless marked reviewed.

A rigid circular disc of radius

(in m) is rolling without slipping on a flat surface as shown in the figure below. The angular velocity of the disc is

(in rad s

). The velocities (in m s

) at points

and

, respectively, are

Diagram for Mechanical Engineering question 26

Your answerChoose one option.

and

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A truss structure is loaded as shown in the figure below. Among the options given, which member in the truss is a zero-force member?

Diagram for Mechanical Engineering question 27

Your answerChoose one option.

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A metallic square plate is subjected to a uniform hydrostatic pressure (P). Choose the correct Mohr’s circle representing the state of stress at any point in the plate from the options given below.

For the Mohr’s circle, normal stress is positive towards right and shear stress is positive in the upward direction.

Your answerChoose one option.

Diagram for Mechanical Engineering question 28

Diagram for Mechanical Engineering question 28 (figure 2)

Diagram for Mechanical Engineering question 28 (figure 3)

Diagram for Mechanical Engineering question 28 (figure 4)

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In the context of balancing of rotating and reciprocating masses, which one of the following options is true?

Your answerChoose one option.

An unbalanced rigid rotor can be completely balanced using a single balancing mass

An unbalanced rigid rotor can be completely balanced using two balancing masses attached to two distinct planes

A single-cylinder internal combustion engine can be completely balanced using a single balancing mass

A single-cylinder internal combustion engine can be completely balanced using two balancing masses

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A shaft carries a helical spur gear. Which one of the following bearings can NOT be used to support it?

Your answerChoose one option.

Angular contact bearing

Double-row ball bearing

Straight roller bearing

Tapered roller bearing

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In the closed interval [0, 3], the minimum value of the function

given below is

Your answerChoose one option.

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Considering the actual demand and the forecast for a product given in the table below, the mean forecast error and the mean absolute deviation, respectively, are

Period	1	2	3	4	5	6	7	8	9	10
Actual demand	425	415	420	430	427	418	422	416	426	421
Forecast	427	422	416	422	423	420	419	418	430	415

Your answerChoose one option.

0.8 and 42.0

0.8 and 4.2

8.0 and 42.0

8.0 and 4.2

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Match the mold elements in the casting process with the most suitable function.

Mold element	Function
P. Blind riser	I. Cast with internal cavity
Q. Chill	II. Molten metal reservoir
R. Skim bob	III. Nucleating agent
S. Core	IV. Assisting in faster heat removal from melt
T. Insulating sleeve	V. Removal of impurities
U. Inoculant	VI. Increasing the solidification time

Your answerChoose one option.

P-II, Q-IV, R-V, S-I, T-VI, U-III

P-II, Q-V, R-VI, S-I, T-III, U-IV

P-V, Q-I, R-VI, S-III, T-II, U-IV

P-II, Q-IV, R-I, S-V, T-VI, U-III

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Wire drawing operation is performed on a perfectly plastic material without any strain hardening. Assuming no friction and no redundant work, the maximum possible percentage reduction in area in a single pass is closest to

Your answerChoose one option.

51.2

63.2

75.0

93.2

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In relation to additive manufacturing, match the following.

Process	Layer creation technique	Material
P. Stereolithography	1. Injection of powder stream	I. Paper
Q. Fused deposition modeling	2. Extrusion of melt polymer	II. Epoxy
R. Laminated object manufacturing	3. Liquid layer curing	III. Titanium
S. Laser-engineered net shape	4. Sheet material deposition	IV. Acrylonitrile butadiene styrene (ABS)

Your answerChoose one option.

P-3-II, Q-1-IV, R-4-I, S-2-III

P-3-II, Q-2-IV, R-4-I, S-1-III

P-4-III, Q-2-IV, R-1-II, S-3-I

P-3-II, Q-2-IV, R-1-I, S-4-III

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GATE ME format:mcq PYQs

Question 26

Question 27

Question 28

Question 29

Question 30

Question 36

Question 37

Question 38

Question 39

Question 40