Theory of Machine
The natural frequency of free longitudinal vibrations is equal to (where m = Mass of the body, s = Stiffness of the body, and δ = Static deflection of the body)

0.4985/√δ
1/2π × √(s/m)
1/2π × √(g/δ)
Any one of the listed here

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Theory of Machine
In a steam engine, the earlier cut-off with a simple slide valve may be obtained by increasing the steam lap and the angle of advance of the eccentric but keeping constant the travel and lead of the valve, this method will

Reduce length of effective stroke of piston
Reduce maximum opening of port to steam
All of the listed here
Cause withdrawing or throttling of steam

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Theory of Machine
Cam angle is defined as the angle

Through which, the cam rotates during the period in which the follower remains in the highest position
During which the follower returns to its initial position
Moved by the cam from the instant the follower begins to rise, till it reaches its highest position
Of rotation of the cam for a definite displacement of the follower

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Theory of Machine
In a single slider crank chain

Three are turning pairs and one is a sliding pair
One is a turning pair and three are sliding pairs
Each of the four pairs is a turning pair
Two are turning pairs and two are sliding pairs

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