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A small heavy block is attached to the lower end of a light rod of length l which can be rotated about its clamped upper end. What minimum horizontal velocity should the block be given so that it moves in a complete vertical circle?

A small heavy block is attached to the lower end of a light rod of length l which can be rotated about its clamped upper end. What minimum horizontal velocity should the block be given so that it moves in a complete vertical circle?

Grade:11

1 Answers

Kevin Nash
askIITians Faculty 332 Points
7 years ago
Sol. Let the velocity of the body at A is ‘V’ for minimum velocity given at A velocity of the body at point B is zero. Applying law of conservation of energy at A & B ½ mv2 = mg (2ℓ) ⇒ v = √(4gℓ) = 2 √gℓ

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