rot ke

A solid sphere of mass m rolls down a incline plane of height h.Find KE_rot of sphere.

1 Answers

i assume that u mean that there is no slipping..

In that case,
mgh=1/2mv²+1/2IÏ‰²

I=2/5mr²
1/2IÏ‰²=1/5mv²

KE rotational = 1/5 mv²
KE translational 1/2mv²

5/2 x KE rotational= (KE translational)

KE total = (5/2+1)KE _rot = mgh

hence 2/7mgh

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