Theory of Machine
The instantaneous center of a rigid thin disc rolling on a plane rigid surface is located at

The point of contact
The center of the disc
An infinite distance on the plane surface
The point on the circumference situated vertically opposite to the contact point

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Theory of Machine
The magnitude of velocities of the points on a rigid link is

Directly proportional to the distance from the points to the instantaneous center and is parallel to the line joining the point to the instantaneous center
Directly proportional to the distance from the points to the instantaneous center and is perpendicular to the line joining the point to the instantaneous center
Inversely proportional to the distance from the points to the instantaneous center and is perpendicular to the line joining the point to the instantaneous center
Inversely proportional to the distance from the points to the instantaneous center and is parallel to the line joining the point to the instantaneous center

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