A long horizontal plank of mass is lying on a smooth horizontal surface. A sphere of same mass and radius ‘ ’ is spinned about its own axis with angular velocity and gently placed on the plank. The coefficient of friction between the plank and the sphere is After some time the pure rolling of the sphere on the plank will start. Answer the following questions
Find the time at which the pure rolling starts |
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a) |
b) |
c) |
d) |
A long horizontal plank of mass is lying on a smooth horizontal surface. A sphere of same mass and radius ‘ ’ is spinned about its own axis with angular velocity and gently placed on the plank. The coefficient of friction between the plank and the sphere is After some time the pure rolling of the sphere on the plank will start. Answer the following questions
Find the time at which the pure rolling starts |
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a) |
b) |
c) |
d) |
(b)
Where
When the pure rolling starts,
Velocity of the sphere: