Two wheels A and B of same radii starts rolling with same angular velocity up a rough inclined and smooth inclined plane respectively. The angle of inclination of both the planes is same.
Column-I | Column-II | ||
i. | the maximum height gained depends upon | p. | angular velocity |
ii. | The retarding force for translational velocity is more for | q. | translational velocity |
iii. | The wheel which will go upto to a greater height rolls up on a | r. | rough inclined plane |
iv. | The maximum height gained does not depend | s. | smooth inclined plane |
Now match the given columns and select the correct option from the codes given below.
The maximum height gained depends upon translational velocity. The retarding force for translational velocity is more for smooth inclined plane.
Retarding force for translational velocity for wheel A ,is lesser than B as the friction support rolling
Retarding force for translational velocity for wheel B = mg sin
If s be the maximum length of path traversed by the wheel , a be the deceleration then 0=So maximum height h is independent of angular velocity.
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A solid cylinder of mass 2 kg and radius 50 cm rolls up an inclined plane of angle inclination 300. The centre of mass of cylinder has speed of 4 ms-1. The distance travelled by the cylinder on the inclined surface will be
(Take, g = 10 ms-2
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