Theory of Machine
The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where δS = Static deflection of simply supported shaft due to uniformly distributed load)

0.5615/ √δS
0.4985/ √δS
0.571/ √δS
0.6253/ √δS

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Theory of Machine
Power of a governor is the

Mean force exerted at the sleeve for maximum equilibrium speed
Work-done at the sleeve for maximum equilibrium speed
None of these
Mean force exerted at the sleeve for a given percentage change of speed

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