Theory of Machine
A simple spring-mass vibrating system has a natural frequency of fn. If the spring stiffness is halved and the mass is doubled, then the natural frequency will become

8 fn
2 fn
fn/2
4 fn

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Theory of Machine
For dynamic balancing of a shaft

The net couple due to the dynamic forces acting on the shaft is equal to zero
The net dynamic force acting on the shaft is equal to zero
None of these
Both (A) and (B)

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