Theory of Machine
Which is the false statement about the properties of instantaneous center?

The two rigid links which have no linear velocity relative to each other at this center have the same linear velocity to the third rigid link
At the instantaneous center of rotation, one rigid link rotates instantaneously relative to another for the configuration of mechanism considered
The double center can be denoted either by O2 or O12, but proper selection should be made
The two rigid links have no linear velocities relative to each other at the instantaneous center

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Theory of Machine
Effort of a governor is the

None of these
Work-done at the sleeve for maximum equilibrium speed
Mean force exerted at the sleeve for maximum equilibrium speed
Mean force exerted at the sleeve for a given percentage change of speed

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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
For dynamic balancing of a shaft

Both (A) and (B)
The net couple due to the dynamic forces acting on the shaft is equal to zero
None of these
The net dynamic force acting on the shaft is equal to zero

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