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Q.

A frictionless track ABCDE ends in a circular loop of radius R. A body slides down the track from point A which is at a height h = 5 cm. Maximum value of R for the body to successfully complete the loop is

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a

5 cm

b

154cm

c

103cm

d

2 cm

answer is D.

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Detailed Solution

SINCE  mgh =mv22 velocity at the lowest point of the circle =v =5gRCondition for vertical looping  SO R=2 h5=2 cm since h= 5 cmh=52r=5cm∴r=2
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A frictionless track ABCDE ends in a circular loop of radius R. A body slides down the track from point A which is at a height h = 5 cm. Maximum value of R for the body to successfully complete the loop is