Theory of Machine
When there is a reduction in amplitude over every cycle of vibration, then the body is said to have

Forced vibration
Damped vibration
Under damped vibration
Free vibration

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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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Theory of Machine
In elliptical trammels

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

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Theory of Machine
In order to give the primary balance of the reciprocating parts of a multi-cylinder inline engines

Both (A) and (B)
The algebraic sum of the primary forces must be equal to zero
None of these
The algebraic sum of the couples about any point in the plane of the primary forces must be equal to zero

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