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a)Prove that in simple harmonic motion the average potential energy equals the average kinetic energy when the aver- age is taken with respect to time over one period of the motion, and that each average equals (b) Prove that when the average is taken with respect to position over one cycle, the average potential energy equals h and the average kinetic energy equals . (c) Explain physically why the results for (a) and (b) are different.

a)Prove that in simple harmonic motion the average potential energy equals the average kinetic energy when the aver- age is taken with respect to time over one period of the motion, and that each average equals  (b) Prove that when the average is taken with respect to position over one cycle, the average potential energy equals  h and the average kinetic energy equals . (c) Explain physically why the results for (a) and (b)      are different.

Grade:10

2 Answers

Navjyot Kalra
askIITians Faculty 654 Points
6 years ago
232-1038_14.PNG
232-1318_15.PNG
Kushagra Madhukar
askIITians Faculty 629 Points
11 months ago
Dear student,
Please find the attached solution to your problem.
 
Wave Motion | 123804 - a)Prove that in simple harmonic motion th ...Wave Motion | 123804 - a)Prove that in simple harmonic motion th ...
Hope it helps.
Thanks and regards,
Kushagra

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