Theory of Machine
Oldham’s coupling is an inversion of the kinematic chain used in

Rotary engine
Universal joint
Whitworth quick return mechanism
Elliptical trammels

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Theory of Machine
In gears, interference takes place when

The tip of a tooth of a mating gear digs into the portion between base and root circles
Gear teeth are undercut
Pitch of the gears is not same
Gears do not move smoothly in the absence of lubrication

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

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