A rock of mass m = 2.5 kg is tied to the end of a string of length L = 1.2 m. The other en...

A rock of mass m = 2.5 kg is tied to the end of a string of length L = 1.2 m. The other end of the string is fastened to a ceiling, and the rock is set into motion so that it travels in a horizontal circle of radius r = 0.70 m as sketched in Figure P5.28.

(a) Draw a picture showing the motion of the rock. Give both a top view and a side view.

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(b) What are all the forces on the rock? Add them to your pictures in part (a). Then draw a free-body diagram for the rock.

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(c) Find the vertical and horizontal components of all the forces on the rock.

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(d) Apply Newton’s second law in both the vertical (y) and the horizontal directions. What is the acceleration along y? Find the tension in the string.

Figure P5.28