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
2π. √(q/I)
(1/2π). √(q/I)
1/2π

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Theory of Machine
Hammer blow

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