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You attach one end of a string of length I to a small ball of inertia m. You attach the string's other end to

 

You attach one end of a string of length I to a small ball of inertia m. You attach the string's other end to a pivot that allows free revolution. You hold the ball out to the side with the string taut along a horizontal line, as in the figure below. If you release the ball from rest, what is the tension T in the string as a function of the angle 0, swept through? Use the notation I for the length of the string I. Express your answer in terms of some or all of the variables m, 1,0, and the acceleration due to gravity g.

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