Theory of Machine
The velocity of piston in a reciprocating steam engine is given by (where ω = Angular velocity of crank, r = Radius of crank pin circle, θ = Angle turned by crank from inner dead center, and n = Ratio of length of connecting rod to the radius of crank)

ωr [cos θ + (cos 2θ/n)]
ω²r [cos θ + (cos 2θ/n)]
ωr [sin θ + (sin 2θ/n)]
ω²r [sin θ + (sin 2θ/n)]

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Theory of Machine
The contact ratio is given by

(Length of the arc of approach)/cosφ
(Length of path of recess)/(Circular pitch)
(Length of the arc of contact)/(Circular pitch)
(Length of the path of approach)/(Circular pitch)

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Theory of Machine
A motor car moving at a certain speed takes a left turn in a curved path. If the engine rotates in the same direction as that of wheels, men due to centrifugal force

The reaction on me inner wheels increases and on the outer wheels decreases
The reaction on the front wheels increases and on the rear wheels decreases
The reaction on the outer wheels increases and on the inner wheels decreases
The reaction on the rear wheels increases and on the front wheels decreases

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