You attach one end of a string of length I to a small ball of inertia...

 

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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 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. 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.