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GATE 2019: National Champion Quiz-Theory of Machine (App update required to attempt this test)

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Question 1

In a prime mover, two types of forces are acting which causes imbalance and thus vibrations. Thus purpose of balancing the prime mover is to :
a) Eliminate resultant force
b) Eliminate Couple
c) Keep Speed constant
d) Keep Power constant

Question 2

Determine the no. of instantaneous centers that would be required for a plier shown below

Question 3

Gear contact is which one of the following and always

Question 4

Which of the following statement is true

Question 5

For the configuration shown, the angular velocity of link AB is 10 rad/s counterclockwise. The magnitude of the relative sliding velocity (in ms^-1) of slider B with respect to rigid link CD is
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(All dimensions are in mm)

Question 6

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.

Question 7

The speed of an engine varies from 210 rad/s to 190 rad/s. During a cycle the change in kinetic energy is found to be 400 Nm. The inertia of the flywheel in kgm² is

Question 8

Each of the two gears in a mesh has 48 teeth and a module of 8 mm. The teeth are of 20 ° involute profile. The arc of contact is 2.25 times the circular pitch. What will be the addendum in mm?

Question 9

Which relation is suitable among Gear 1 and gear 4 in terms of angular velocity?

Question 10

In the gear train shown, gear 3 is carried on arm 5. Gear 3 meshes with gear 2 and gear 4. The number of teeth on gear 2, 3, and 4 are 60, 20, and 100, respectively. If gear 2 is fixed and gear 4 rotates with an angular velocity of 100 rpm in the counter clockwise direction, the angular speed of arm 5 (in rpm) is

Question 11

Figure shows a single degree of freedom system. The system consists of a massless rigid bar OP hinged at 0 and a mass m at end P. The natural frequency of vibration of the system is

Question 12

For the system, shown below, when block is displaced a little against spring C, what will be the time period of oscillations? The mass of block is 1 kg and all the springs have spring constant 10 N/m.

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ESE & GATE ME Theory of Machines & Vibrations

Jun 2ESE & GATE ME