NEET | 2018FrictionEasy

Question

A body initially at rest and sliding along a frictionless track from a height h (as shown in the figure) just completes a vertical circle of diameter AB = D. The height h is equal to :-

Options

A.

32D

B.

D

C.

75D

D.

54D

Solution

To complete a vertical circle, speed at A should be
VA = 5gR
using energy conservation
mgh = 12mvA2
h = 12vA1g=125ggD2    R=D2
h = 5D4

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