A ball of mass m is attached to a string of length L. It is being swung in a vertical circle with enough speed so that the string remains taut throughout the ball's motion. (Figure 1)Assume that the ball travels freely in this vertical circle with negligible loss of total mechanical energy. At the top and bottom of the vertical circle, the ball's speeds are and b. and the corresponding tensions in the string are T and Tb. It and I have magnitudes T and T. Find TT, the difference between the magnitude of the tension in the string at the bottom relative to that at the top of the circle. Express the difference in tension in terms of m and g. The quantities and up should not appear in your final answer. View Available Hint(s) Tb-Tt= IVE ΑΣΦ ?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter5: More Applications Of Newton’s Laws
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A ball of mass m is attached to a string of length L. It is being swung in a vertical
circle with enough speed so that the string remains taut throughout the ball's
motion. (Figure 1)Assume that the ball travels freely in this vertical circle with
negligible loss of total mechanical energy. At the top and bottom of the vertical
circle, the ball's speeds are vand , and the corresponding tensions in the
string are Tt and Tb. It and Tь have magnitudes T and Tb.
Find T - Tt, the difference between the magnitude of the tension in the string at the bottom relative to that at the top of the circle.
Express the difference in tension in terms of m and g. The quantities and should not appear in your final answer.
► View Available Hint(s)
Tb - Tt =
Submit
VE| ΑΣΦ
?
Transcribed Image Text:A ball of mass m is attached to a string of length L. It is being swung in a vertical circle with enough speed so that the string remains taut throughout the ball's motion. (Figure 1)Assume that the ball travels freely in this vertical circle with negligible loss of total mechanical energy. At the top and bottom of the vertical circle, the ball's speeds are vand , and the corresponding tensions in the string are Tt and Tb. It and Tь have magnitudes T and Tb. Find T - Tt, the difference between the magnitude of the tension in the string at the bottom relative to that at the top of the circle. Express the difference in tension in terms of m and g. The quantities and should not appear in your final answer. ► View Available Hint(s) Tb - Tt = Submit VE| ΑΣΦ ?
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