A uniform solid sphere of radius is rolling on a smooth horizontal surface with velocity and angular velocity . The sphere collides with a sharp edge on the wall as shown in Figure. The coefficient of friction between the sphere and the edge . Just after the collision the angular velocity of the sphere becomes equal to zero. The linear velocity of the sphere just after the collision is equal to
a) |
b) |
c) |
d) |
A uniform solid sphere of radius is rolling on a smooth horizontal surface with velocity and angular velocity . The sphere collides with a sharp edge on the wall as shown in Figure. The coefficient of friction between the sphere and the edge . Just after the collision the angular velocity of the sphere becomes equal to zero. The linear velocity of the sphere just after the collision is equal to
a) |
b) |
c) |
d) |
(a)
Impulse provided by the edge in the horizontal direction:
…(i)
Friction impulse in the vertical direction
…(ii)
From Eqs. (i) and (ii), we get
and