Consider the motion of a rock tied to a string of length 0.50 m. The string is spun so t...

Consider the motion of a rock tied to a string of length 0.50 m. The string is spun so that the rock travels in a vertical circle as shown in Figure P5.16. The mass of the rock is 1.5 kg, and it is twirling at constant speed with a period of 0.33 s.

(a) Draw free-body diagrams for the rock when it is at the top and when it is at the bottom of the circle. Your diagrams should include the tension in the string, but the value of T is not yet known.

(b) What is the total force on the rock directed toward the center of the circle?

(c) Find the tension in the string when the rock is at the top and when it is at the bottom of the circle.