Theory of Machine
The critical speed of a shaft with a disc supported in between is equal to the natural frequency of the system in

Torsional vibrations
Transverse vibrations
Longitudinal vibrations
All of these

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Theory of Machine
A system of masses rotating in different parallel planes is in dynamic balance if the

Resultant force is equal to zero
Resultant couple is equal to zero
Resultant force is numerically equal to the resultant couple, but neither of them need necessarily be zero
Resultant force and resultant couple are both equal to zero

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