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Question

A metal ball of mass 'm' is put at the point A of a loop track and the vertical distance of A from the lower most point of track is 8 times the radius 'R' of the circular part. The linear velocity of ball when it rolls of the point B to a height 'R' in the circular track will be

A
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B
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C
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D
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Solution

The correct option is A
Applying the conservation of energy at points A and B, we have
mg(8R)=mv22+12Iω2+mgR
or mg(8R)=mv22+12(25mR2)(vR)2+mgR
=710mv2+mgR
mg(8RR)=710mv2
[10gR]1/2

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