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Use the exact values you enter in previous answer(s) to make later calculation(s

ID: 2178633 • Letter: U

Question

Use the exact values you enter in previous answer(s) to make later calculation(s).

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 the figure below. The mass of the rock is 1.5 kg, and it is twirling at constant speed with a period of 0.27 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.

When the rock is at the top:


When the rock is at the bottom:


(b) What is the total force on the rock directed toward the center of the circle? (Enter the magnitude only.)
N

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


Explanation / Answer

T and MG pointing in the downward direction when the rock is at the top

T pointing up and MG pointing down when the rock is at the bottom

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