A body slides down on a frictionless track which ends in a circular loop of diameter D . The minimum height h in terms of D so that the body may just complete the circular loop, is

Question

A body slides down on a frictionless track which ends in a circular loop of diameter D . The minimum height h in terms of D so that the body may just complete the circular loop, is, h = 5 2 D, h = 3 2 D, h = 5 4 D, h = 2 D

MARKS App · Accepted Answer

By conservation of energy, 1 2 m v 2 = m g h v = 2 g h ...(i) For looping the loop, the lower velocity must be greater than 5 g r v min = 5 g r = 5 g D 2 ...(ii) From equation (i) and (ii), 2 g h = 5 g D 2 h = 5 D 4

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