Question

A body is moving in a vertical circle such that the velocities of body at different points are critical. The ratio of velocities of body at angular displacements and  from the lowest point is:

A

B

C

D

Medium

Solution

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Correct option is D)

Given that velocities at different points are critical
so velocity at top point ()
From the diagram
in right triangle
At point ,
in right triangle
At point ,
Using energy conservation equation at point and  

putting the value of eqn (1), eqn (2) in eqn (4)

Using energy conservation equation at point and  

putting the value of eqn (1), eqn (3) in eqn (4)

Ratio of and
So the correct option is ()

solution
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