GATE Prev Year : Theory of Machines Test-7

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Question 1

There are two points P and Q on a planar rigid body. The relative velocity between the two points ______.

• Ashould always be along PQ
• BCan be oriented along any direction
• Cshould always be perpendicular to PQ
• Dshould be along QP when the body undergoes pure translation

Question 2

Which among the following is not related with flywheel?

• AIt is an energy storing device
• BIn this the energy is developed during power stroke
• CIt absorbs mechanical energy during the supply of energy
• DNone of above

Question 3

Calculate the inertia of flywheel, if the speed of engine varies from 50 rad/s to 30 rad/s when the change in kinetic energy is 200 Nm.

• A0.25
• B0.40
• C0.50
• D0.75

Question 4

A pair of spur gears with module 5 mm and a center distance of 450 mm is used for a speed reduction of 5:1. The number of teeth on pinion is ______

• A25
• B180
• C30
• D60

Question 5

In an experiment to find the velocity and acceleration of a particular cam rotating at 10 rad/s, the values of displacements and velocities are recorded. The slope of displacement curve at an angle of ‘θ’ is 1.5 m/s and the slope of velocity curve at the same angle is –0.5 m/s². The velocity and acceleration of the cam at the instant are respectively.

• A15 m/s and –5 m/s²
• B15 m/s and 5 m/s²
• C1.2 m/s and –0.5 m/s²
• D1.2 m/s and 0.5 m/s²

Question 6

Torque and angular speed data over one cycle for a shaft carrying a flywheel are shown in the figures. The moment of inertia (in kg.m²) of the flywheel is

• A31.41
• B78.58
• C79.25
• D25.65

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