Question
A body slides down from inclined plane and at the bottom it enters into circular loop of radius 10m. From what minimum height must it start sliding down?
Solution
Let a body of mass m slide down from height h and at bottom enter into circular orbit of radius r.
Velocity of body at bottom:
According to the law of conservation of energy,
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To complete the loop of radius r, the minimum velocity at lowest point should be
∴
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∴
, is the required minimum height.
Velocity of body at bottom:
According to the law of conservation of energy,
To complete the loop of radius r, the minimum velocity at lowest point should be
∴
Since
∴
, is the required minimum height. 
