Theory of Machine
Which of the following property of the instantaneous center is correct?

The two rigid links have no linear velocity relative to each other at the instantaneous centre.
A rigid link rotates instantaneously relative to another link at the instantaneous centre for the configuration of the mechanism considered.
The velocity of the instantaneous centre relative to any third rigid link is same whether the instantaneous centre is regarded as a point on the first rigid link or on the second rigid link.
All of these

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Theory of Machine
A rigid body, under the action of external forces, can be replaced by two masses placed at a fixed distance apart. The two masses form an equivalent dynamical system, if

The sum of mass moment of inertia of the masses about their center of gravity is equal to the mass moment of inertia of the body
The sum of the two masses is equal to the total mass of body
All of these
The center of gravity of the two masses coincides with that of the body

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Theory of Machine
Kinematic pairs are those which have

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

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