Theory of Machine
The frequency of oscillation of a compound pendulum is

2π. √[gh/(kG² + h²)]
(1/2π). √[(kG² + h²)/gh]
2π. √[(kG² + h²)/gh]
(1/2π). √[gh/(kG² + h²)]

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Theory of Machine
Inertia force acts

Perpendicular to the acceleration force
Along the direction of acceleration force
Opposite to the direction of acceleration force
None of the listed here

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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)

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

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Theory of Machine
The relation l = (2/3).(j + 2) apply only to kinematic chains in which lower pairs are used. This may be used to kinematic chains in which higher pairs are used, but each higher pair may be taken as equivalent to

One lower pair and two additional links
Any one of these
Two lower pairs and one additional link
Two lower pairs and two additional links

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