Theory of Machine
Which of the following disciplines provides study of relative motion between the parts of a machine?

Kinematics
Applied mechanics
Theory of machines
Mechanisms

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

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Theory of Machine
In a cam drive with uniform velocity follower, the sharp corners of the displacement diagram are rounded off at the beginning and at the end of each stroke. This is done

Because of loose contact of follower with cam surface
Because the uniform velocity motion is a partial parabolic motion
In order to have acceleration in beginning and retardation at the end of stroke within the finite limits
Because of difficulty in manufacturing cam profile

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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 two rigid links have no linear velocities relative to each other at the instantaneous center
The double center can be denoted either by O2 or O12, but proper selection should be made

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