# Motiron in two dimension: Motion on a verticle Circle.

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A small ball is suspended from point A by a tread of length L. A nail is driven into the wall at a distance of L/2 below A, at O. The ball is drawn so that the tread takes up a horizontal position.

-At what point in the ball's trajectory will the tension in the tread disappear?

-How much farther will the ball move?

-What will be the highest point to which it will rise?

-At what point will the ball pass through the vertical line passing the point of suspension?

-After how many wraps does the ball stop wrapping around and start swinging? What is the maximum angle where this will happen?

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##### Solution Summary

A particle is attached to a point and released from horizontal position so that moves on a vertical circle. A nail bellow the point of suspension is changing the radius of the vertical circle the motion is discussed in five parts.

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A small ball is suspended from point A by a tread of length L. A nail is driven into the wall at a distance of L/2 below A, at O. The ball is drawn so that the tread takes up a horizontal position.

-At what point in the ball's trajectory will the tension in the tread disappear?

-How much farther will the ball move?

-What will be the highest point to which it will rise?

-At what point will the ball pass through the vertical line passing the point of suspension?

-After how many wraps does the ball stop wrapping around and start swinging? What is the maximum angle where this will happen?

Solution:

Once the threat comes in contact with nail, the upper part of the thread becomes stationary and the ball starts moving in a circle of radius L/2. The velocity ...

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