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

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

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Theory of Machine
The frictional torque transmitted in a flat collar bearing, considering uniform pressure, is (where r₁ and r₂ = External and internal radii of collar respectively)

(2/3). μ W (r₁ + r₂)
(1/2). μ W [(r₁³ - r₂³)/(r₁² - r₂²)]
(2/3). μ W [(r₁³ - r₂³)/(r₁² - r₂²)]
(1/2). μ W (r₁ + r₂)

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Theory of Machine
The secondary 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 (cos 2θ/n)
m.ω².r (sin 2θ/n)
m.ω².r cosθ
m.ω².r sinθ

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Theory of Machine
In elliptical trammels

Three pairs turning and one pair sliding
All four pairs are turning
One pair turning and three pairs sliding
Two pairs turning and two pairs sliding

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