A ball of mass m is attached to a string of length L. It is swung...

A ball of mass m is attached to a string of length L. It is swung in a vertical circle with enough speed to keep the string taut throughout the motion. Assume the ball travels freely in the circle with negligible loss of mechanical energy. Determine if the following six statements are true or false; e.g., enter TTFFFF.

The tension in the string is less at the top of the circle than at the bottom of the circle.
The acceleration of the ball at the bottom of the circle is directed `down'.
mv_b²/L = T_b−mg, where v_b and T_b are the speed of the ball and the tension of the string at the bottom of the circle.
The speed of the ball at the bottom of the circle is greater than the speed at the top of the circle.
The tensions at the top and at the bottom of the circle depend on the average speed of the ball.
The tension in the string at the top of the circle is always greater than the weight of the ball.

Expert Solution

genius_generous answered 2 years ago

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