Theory of Machine
The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where δS = Static deflection of simply supported shaft due to uniformly distributed load)

0.571/ √δS
0.6253/ √δS
0.5615/ √δS
0.4985/ √δS

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Theory of Machine
In order to give the primary balance of the reciprocating parts of a multi-cylinder inline engines

None of these
The algebraic sum of the couples about any point in the plane of the primary forces must be equal to zero
Both (A) and (B)
The algebraic sum of the primary forces must be equal to zero

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Theory of Machine
Hammer blow

Varies as the square root of the speed
Is the maximum vertical unbalanced force caused by the mass added to balance the reciprocating masses
Varies inversely with the square of the speed
Is the maximum horizontal unbalanced force caused by the mass provided to balance the reciprocating masses.

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