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

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

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Theory of Machine
A rotor which is balanced statically but not dynamically is supported on two bearings L apart and at high speed of the rotor, reaction on the left bearing is R. The right side of the bearing is shifted to a new position 2L apart from the left bearing. At the same rotor speed, dynamic reaction on the left bearing in the new arrangement will

Become equal to R/4
Remain same as before
Become equal to 2R
Become equal to R/2

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