Q.

A hoop rolls down on an inclined plane. The fraction of its kinetic energy that is associated with only the rotational motion is

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a

1 : 2

b

1 : 3

c

1 : 4

d

2 : 3

answer is A.

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Detailed Solution

f = KErKEt+KEr= 12iω212mv2+12Iω2 = 12[ω = vR, I = mR2]
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A hoop rolls down on an inclined plane. The fraction of its kinetic energy that is associated with only the rotational motion is