A body initially at rest and sliding along a frictionless track from a height h (as shown in the figure)…

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,

  1. 75D
  2. D
  3. 32D
  4. 54D

Solution

To just complete a vertical circle, speed at A should be
vA=5gR
Using energy conservation
mgh=12mvA2
h=12vA2g=125ggD2  R=D2
h=5D4

Asked in: NEET 2018

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