A uniform sphere of mass 
and radius 
is placed on a rough horizontal surface (Fig.). The sphere is struck horizontally at a height 
from the floor. Match the Column-I with Column-II.
Column-I | Column-II | ||
(A) | (I) | Sphere rolls without slipping with a constant velocity and no loss of energy | |
(B) | (II) | Sphere spins clockwise, loses energy by friction. | |
(C) | (III) | Sphere spins anti-clockwise, loses energy by friction. | |
(D) | (IV) | Sphere has only translational motion, loses energy by friction. |
Text Solution
Verified by ExpertsA
Let the sphere of mass 
and radius 
be struck horizontally at a height 
from the floor, as
shown in the figure.
The sphere will roll without slipping when 
.
Impulse, 
Angular impulse about centre,
The sphere will roll without slipping with a constant velocity and no loss of energy when
- (i)
Torque due to applied force about centre of mass,
If 
, sphere will have only translational motion.
It would lose energy by friction.
B-(iv)
If 
ve sphere will spin clockwise.
-(ii)
Again, the sphere will spin anticlockwise, when 
is negative, i.e., 
.
-(iii)
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