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

All of these
Transverse vibrations
Longitudinal vibrations
Torsional vibrations

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Theory of Machine
The static balancing is satisfactory for low speed rotors but with increasing speeds, dynamic balancing becomes necessary. This is because, the

Effects of unbalances are proportional to the square of the speed
Unbalanced forces are not dangerous at higher speeds
Unbalanced couples are caused only at higher speeds
Effects of unbalances are directly proportional to the speed

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