Question

A sphere is rolling purely on a horizontal surface. What is the velocity of its instantaneous axis of rotation with respect to the ground if its centre of mass moves with a velocity of 10 m/s in the forward direction ?(Radius = 10 m)

• A. 100 m/s
• B. 1 m/s
• C. 5 m/s
• D. 0 m/s

Answer 1

The correct option is D 0 m/s

It is given that the sphere is rolling purely. This directly implies that the point in contact with the ground has zero velocity. Now the instantaneous axis of rotation passes through the point in contact, it too has zero velocity with respect to the ground.