Question

A sphere rolls on a horizontal surface. If there any point of the sphere which has a vertical velocity?

Answer 1

Answer:

The resultant velocity of the velocity due to rolling and velocity due to translation is . For a vertical velocity the x-component must be zero, and the y-component non zero. At the point of contact between the sphere and the surface the velocity should be zero if the sphere is to roll without slipping.

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Answer 2

Explanation:

• No, A sphere rolling on a horizontal surface cannot have vertical velocity at any point.
• The velocity of the sphere can be considered as the sum of two velocities namely rolling velocity and translation velocity and both of them can exist only in horizontal direction.
• Also, as the sphere rolls over in the horizontal direction without slipping, the sphere has to be permanently in contact with the horizontal surface.
• Therefore, there is no vertical movement of the sphere and no chance for the existence of vertical velocity at any point.