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Questions  

The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height h, from rest without sliding is

a
gh
b
g5gh
c
43gh
d
107gh

detailed solution

Correct option is D

At bottom most point, total kinetic will be mgh.Total kinetic energy  =12mv2+12Iω2=12mv2+1225mR2vR2=710mv2 Now, 710mv2=mgh⇒v=107gh

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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
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