GATE XE Mechanics of rigid bodies PYQs & Answers — Page 5

Questions 41–50 of 72. Imported answers require independent review unless marked reviewed.

A force F = 40 kN is applied on the hook as shown. The equivalent force-couple system at B is

Diagram for Engineering Sciences question 1

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40 kN in +y direction and M = 0

40 kN in −y direction and M = 0

40 kN in +y direction and M = 400 Nm counter clockwise

40 kN in −y direction and M = 400 Nm clockwise

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A rigid rod OA rotates clockwise at an angular velocity of 10 rad/s. A bead B (OB = 1 m) translates outward on the rod at a speed of 5 m/s and acceleration 2.5 m/s

(both quantities with respect to the rod). The Coriolis component of acceleration is

Diagram for Engineering Sciences question 2

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2.5 m/s² in +x direction

100 m/s² in +x direction

100 m/s² in −y direction

25 m/s² in +y direction

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A two force member in equilibrium is one in which

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Forces act at two points and forces are collinear

Forces act at two points and moment is always straight

Forces act at two points but the member is free to carry moment at any point

Force acts at one point and moment acts at second point

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The truss shown is subjected to a force P. All members of the truss have the same length L. The reaction at A and force in member AB are

Diagram for Engineering Sciences question 13

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and

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The figure shows a structure with supports. The correct free body diagram when the supports are removed is

Diagram for Engineering Sciences question 14

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Diagram for Engineering Sciences question 14 (figure 2)

Diagram for Engineering Sciences question 14 (figure 3)

Diagram for Engineering Sciences question 14 (figure 4)

Diagram for Engineering Sciences question 14 (figure 5)

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Which among the following statements is true for a body moving on a dry surface under the action of applied forces?

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Kinetic-friction force is zero.

Kinetic-friction force is equal to the static-friction force.

Kinetic-friction force is greater than the static-friction force.

Kinetic-friction force is lower than the static-friction force.

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The angular momentum of a particle moving under a central force is

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zero.

constant in both magnitude and direction.

constant in magnitude but not direction.

constant in direction but not magnitude.

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A rigid square ABCD is subjected to planar forces at the corners as shown. For this planar force system, the equivalent force couple system at corner A can be represented as

Diagram for Engineering Sciences question 6

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System I

Diagram for Engineering Sciences question 6 (figure 2)

System II

Diagram for Engineering Sciences question 6 (figure 3)

System III

Diagram for Engineering Sciences question 6 (figure 4)

System IV

Diagram for Engineering Sciences question 6 (figure 5)

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A particle of mass 0.1 kg, which is released from rest, falls vertically downward under gravity in a fluid. The fluid offers a resistive force, which is linearly proportional to the particle velocity with 0.1 N.s/m as the constant of proportionality. The uniform gravitational acceleration is 10 m/s

throughout the trajectory of the particle. The magnitude of the particle velocity (in m/s) at time 1 s after release (rounded off to two decimal places) is _____.

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Consider two point masses

kg and

kg connected by a massless inextensible string passing over a massless and frictionless pulley with radius

mm as shown. The masses are released from rest and move vertically under the action of gravity. Let acceleration due to gravity,

m/s

. The tension (in N) in the string is _____.

Diagram for Engineering Sciences question 9

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GATE XE Mechanics of rigid bodies PYQs

Question 1

Question 2

Question 3

Question 13

Question 14

Question 1

Question 4

Question 6

Question 7

Question 9