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A small object of uniform density rolls up a curved surface with an initial velocity v. It reaches up to a maximum height of 3v24g with respect to the initial position. The object is:

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a
ring
b
solid sphere
c
hollow sphere
d
disc

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detailed solution

Correct option is D

12mv21+K2R2=mgh⇒12mv21+K2R2=mg3v24g⇒K2R2=12⇒for a disc


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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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