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Physics Motion in a Plane Circular Motion in Vertical Plane MCQ (Single Correct)

A body attached to a string of length describes a vertical circle such that it is just able to cross the highest point. Find the minimum velocity at the bottom of the circle.

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The correct answer is:
CHECK THE SOLUTION.

Sol. At higest point C

T + mg =

but T > 0

⇒ v C >

∴ V C min =

Using energy conservation between C & A

mg(2 λ ) + mv C 2 = mv A 2 ⇒ mg (2 λ ) = mv A 2 – mg λ

⇒ v A = (min)

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