A uniform circular disc of radius is placed on a rough horizontal surface and given a linear velocity and angular velocity as shown. The disc comes to rest moving some distance to the right. It follows that
a) |
b) |
c) |
d) |
A uniform circular disc of radius is placed on a rough horizontal surface and given a linear velocity and angular velocity as shown. The disc comes to rest moving some distance to the right. It follows that
a) |
b) |
c) |
d) |
(b) Since the disc comes to rest, it stops rotating and translating simultaneously and . That means, the angular momentum about the instantaneous point of contact just after the time of stopping is zero. We know that the angular momentum of the disc about remains contant because frictional force and pass through point and thus produce no torque about this point |