A solid sphere of mass and radius is placed on a rough horizontal surface. It is struck by a horizontal cuestick at a height above the surface. The value of so that the sphere performs pure rolling motion immediately after it has been struck is
a) |
b) |
c) |
d) |
A solid sphere of mass and radius is placed on a rough horizontal surface. It is struck by a horizontal cuestick at a height above the surface. The value of so that the sphere performs pure rolling motion immediately after it has been struck is
a) |
b) |
c) |
d) |
(c) Let be the velocity of the centre of mass of the sphere and be the angular velocity of the body about an axis passing through the centre of mass From the above two equations, From the condition of pure rolling, |