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GATE 2023 || Theory of Machines & Vibrations || Evaluation Quiz 6
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Question 1
The piston velocity at the position when the crank makes an angle of 90o with the line of slider is equal to
Question 2
The partial balancing means
Question 3
A flywheel of mass 2000 kg and radius of gyration 1.5 m. If the maximum fluctuation in energy and mean speed of flywheel are 100 kN-m and 200 rpm, then maximun speed of flywheel is equal to,
Question 4
The maximum speed of the flywheel is 1000 rpm.The coefficient of steadiness for the flywheel is 50. The maximum variation of speed for the flywheel is
Question 5
Determine the approximate frequency of the longitudinal vibration of a vertical shaft 
of 
length which has its upper end fixed at the top, while the other free end is attached to a disc of 
. (Assumption: Weight of the shaft can be safely neglected)
of length which has its upper end fixed at the top, while the other free end is attached to a disc of . (Assumption: Weight of the shaft can be safely neglected)
Question 6
The equation of free vibration of a system is 
. Its natural frequency would be
. Its natural frequency would be Question 7
For a single slider crank mechanism, the velocity and acceleration of the piston at inner dead centre will be _____.( w is angular velocity of the crank and r its radius )
Question 8
In a spring mass damper system (k=20N/m; m=2kg), The value of damped frequency (rad/sec) if the damper offers a resistance of 2N force when it vibrates with a constant velocity of 40cm/sec is:
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