Theory of Machine
The natural frequency of free torsional vibrations of a shaft is equal to (where q = Torsional stiffness of the shaft, and I = Mass moment of inertia of the disc attached at the end of a shaft)

2π qI
1/2π
2π. √(q/I)
(1/2π). √(q/I)

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Theory of Machine
In elliptical trammels

Three pairs turning and one pair sliding
Two pairs turning and two pairs sliding
All four pairs are turning
One pair turning and three pairs sliding

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Theory of Machine
Which of the following property of the instantaneous center is correct?

All of these
The two rigid links have no linear velocity relative to each other at the instantaneous centre.
A rigid link rotates instantaneously relative to another link at the instantaneous centre for the configuration of the mechanism considered.
The velocity of the instantaneous centre relative to any third rigid link is same whether the instantaneous centre is regarded as a point on the first rigid link or on the second rigid link.

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Theory of Machine
The maximum fluctuation of energy is the

Sum of the maximum and minimum energies
Difference between the maximum and minimum energies
Ratio of the mean resisting torque to the work-done per cycle
Variations of energy above and below the mean resisting torque line

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