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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

[10gR]12

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B

7[gR10]12

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C

7[7gR5]12

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D

[5gR]12

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Solution

The correct option is A

[10gR]12


Conservation of energy principle gives us,

8mgR=12mv2+12(25mR2)(vR)2+mgR

V=10gR


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