A ball of mass m is attached to a string of length L. It isswung in a vertical circle with enough speed to keep the stringtaut throughout the motion. Assume the ball travels freely in thecircle with negligible loss of mechanical energy. Determine if thefollowing six statements are true or false; e.g., enter TTFFFF.
- The tension in the string is less at the top of the circle thanat the bottom of the circle.
- The acceleration of the ball at the bottom of the circle isdirected `down'.
- mvb2/L = Tb−mg, wherevb and Tb are the speed of the ball and thetension of the string at the bottom of the circle.
- The speed of the ball at the bottom of the circle is greaterthan the speed at the top of the circle.
- The tensions at the top and at the bottom of the circle dependon the average speed of the ball.
- The tension in the string at the top of the circle is alwaysgreater than the weight of the ball.
