Theory of Machine
The acceleration of the reciprocating roller follower when it has contact with the straight flanks of the tangent cam, is given by

ω². (r₁ r₂). (1 - cos² θ)
ω². (r₁ + r₂). [(2 - cos² θ)/cos³ θ]
ω². (r₁ - r₂). (1 - sin² θ)
ω². (r₁ + r₂). (1 + cos² θ)

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Theory of Machine
Kinematic pairs are those which have

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

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Theory of Machine
The static balancing is satisfactory for low speed rotors but with increasing speeds, dynamic balancing becomes necessary. This is because, the

Effects of unbalances are proportional to the square of the speed
Unbalanced couples are caused only at higher speeds
Effects of unbalances are directly proportional to the speed
Unbalanced forces are not dangerous at higher speeds

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Theory of Machine
Hammer blow

Is the maximum vertical unbalanced force caused by the mass added to balance the reciprocating masses
Varies as the square root of the speed
Varies inversely with the square of the speed
Is the maximum horizontal unbalanced force caused by the mass provided to balance the reciprocating masses.

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