Theory of Machine
The displacement of the reciprocating roller follower, when it has contact with the straight flanks of the tangent cam, is given by (where r₁ = Minimum radius of the cam, r₂ = Radius of the roller follower, and θ = Angle turned by the cam from the beginning of the follower displacement)

(r₁ + r₂) (1 + cosθ)
(r₁ - r₂) [(1 - cosθ)/cosθ]
(r₁ - r₂) (1 - cosθ)
(r₁ + r₂) [(1 - cosθ)/cosθ]

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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

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

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Theory of Machine
The inversion of a mechanism is

Changing of a higher pair to a lower pair
Obtained by fixing different links in a kinematic chain
Turning its upside down
Obtained by reversing the input and output motion

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

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

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