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)

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

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Theory of Machine
Angle of dwell of cam is defined as the angle

During which the follower returns to its initial position
Through which the cam rotates during the period in which the follower remains in the highest position
Of rotation of the cam for definite displacement of the follower
Moved by the cam from the instant the follower begins to rise, till it reaches its highest position

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

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