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

fn/2
8 fn
4 fn
2 fn

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Theory of Machine
The maximum fluctuation of energy is the

Ratio of the mean resisting torque to the work-done per cycle
Sum of the maximum and minimum energies
Variations of energy above and below the mean resisting torque line
Difference between the maximum and minimum energies

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