Theory of Machine
The equivalent length of a simple pendulum which gives the same frequency as a compound pendulum is

(kG² + h²)/h
(kG² + h²)/h²
h²/(kG² + h²)
h/(kG² + h²)

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Theory of Machine
The primary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is given by (where m = Mass of reciprocating parts, ω = Angular speed of crank, r = Radius of crank, θ = Angle of inclination of crank with the line of stroke, and n = Ratio of the length of connecting rod to radius of crank)

m.ω².r sinθ
m.ω².r cosθ
m.ω².r (cos 2θ/n)
m.ω².r (sin 2θ/n)

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Theory of Machine
A point B on a rigid link AB moves with respect to A with angular velocity ω rad/s. The total acceleration of B with respect to A will be equal to

Vector difference of radial component and tangential component
Vector sum of radial component and Coriolis component
Vector sum of radial component and tangential component
Vector sum of tangential component and Coriolis component

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