Q.

A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy (Kt) as well as rotational kinetic energy (Kr) simultaneously. The ratio Kt : (Kt+Kr) for the sphere is

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a

2 : 5

b

7 : 10

c

10 : 7

d

5 : 7

answer is D.

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Detailed Solution

Translational kinetic energy of sphereKt = 12mvc2-----------------(i)Summation of translational and rotational kinetic energyKt+Kr = 12mvc2+12I0ω2For solid sphere, I0 = 25mr2 and in case of rollingvc= ωrIt means KtKt+Kr = mω2r2mω2r2+25mr2ω2 = 11+25 = 57
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