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 compete vertical circle?

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Solution

The correct option is A

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

$\frac{1}{2} m v^{2} = m g (2 l) \Rightarrow v = \sqrt{(4 g l)} = 2 \sqrt{g l}$

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Similar questions

Q. 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?

Q. 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?

Figure

Figure shows a light rod of length l rigidly attached to a small heavy block at one end and a hook at the other end. The system is released from rest with the rod in a horizontal position. There is a fixed smooth ring at a depth h below the initial position of the hook and the hook gets into the ring as it reaches there. What should be the minimum value of h so that the block moves in a complete circle about the ring?

Figure (8-E14) shows a light rod of length I rigidly attached to a small heavy block at one end and a hook at the other end. The system is released from rest with the rod in a horizontal position. There is a fixed smooth ring at a depth h below the initial position of the hook and the hook gets into the ring as it reaches there. What should be the minimum value of h so that the block moves in a complete circle about the ring ?

Q. Figure (8-E14) shows a light rod of length

l

rigidly attached to a small heavy block at one end and a hook at the other end. The system is released from reset with the rod in a horizontal position. There is a fixed smooth ring at a depth

h

below the initial position of the hook and the hook gets into the ring as it reaches there. What should be the minimum value of

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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 compete vertical circle?

The correct option is A 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 12mv2=mg(2l)⇒v=√(4gl)=2√gl

The correct option is A

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

$\frac{1}{2} m v^{2} = m g (2 l) \Rightarrow v = \sqrt{(4 g l)} = 2 \sqrt{g l}$