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 (cos 2θ/n)
m.ω².r sinθ

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Theory of Machine
In order to give a complete secondary balance of a multi-cylinder inline engine,

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

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Theory of Machine
Kinematic pairs are those which have

Elements of pairs not held together mechanically
Two elements that permit relative motion
Surface contact between the two elements when in motion
Point or line contact between the two elements when in motion

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