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

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Theory of Machine
The relation l = (2/3).(j + 2) apply only to kinematic chains in which lower pairs are used. This may be used to kinematic chains in which higher pairs are used, but each higher pair may be taken as equivalent to

Two lower pairs and two additional links
One lower pair and two additional links
Any one of these
Two lower pairs and one additional link

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Theory of Machine
The maximum fluctuation of speed is the

Difference of the maximum and minimum speeds
Variations of speed above and below the mean resisting torque line
Sum of maximum and minimum speeds
Difference of minimum fluctuation of speed and the mean speed

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