Theory of Machine
Which one of the following can completely balance several masses revolving in different planes on a shaft?

A single mass in one of the planes of the revolving masses
Two masses in any two planes
Two equal masses in any two planes
A single mass in different planes

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Theory of Machine
For an isochronous Hartnell governor (where r₁ and r₂ = Maximum and minimum radius of rotation of balls respectively, S₁ and S₂ = Maximum and minimum force exerted on the sleeve respectively, and M = Mass on the sleeve)

(m.g + S₁)/(m.g + S₂) = r₁/r₂
(m.g - S₁)/(m.g - S₂) = r₂/r₁
S₂/S₁ = r₁/r₂
S₁/S₂ = r₁/r₂

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Theory of Machine
A body is said to be under forced vibrations, when

A body vibrates under the influence of external force
No external force acts on a body, after giving it an initial displacement
There is a reduction in amplitude after every cycle of vibration
None of these

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Theory of Machine
Power of a governor is the

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

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Theory of Machine
The maximum fluctuation of energy is the

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

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