## To make a pendulum, a 210 g ball is attached to one end of a string that has a length of 1.2 m and negligible mass. (The other end of the st

To make a pendulum, a 210 g ball is attached to one end of a string that has a length of 1.2 m and negligible mass. (The other end of the string is fixed.) The ball is pulled to one side until the string makes an angle of 24° with the vertical; then (with the string taut) the ball is released from rest. Find (a) the speed of the ball when the string makes an angle of 12° with the vertical and (b) the maximum speed of the ball. (c) What is the angle between the string and the vertical when the speed of the ball is one-third its maximum value?

## Answers ( )

Answer:a),b),c)Explanation:a)The speed of the ball is determined by applying the Principle of Energy Conservation:The speed of the ball when the string makes an angle of 12° with the vertical is:

b)The maximum speed of the ball is:c)The angle between the string and the vertical when the speed of the ball is one-third its maximum value is obtained by proving different values of . The solution is approximately: