HW2 - UAHuntsville PH 113 Spring 2010 Homework Problem Set...

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UAHuntsville PH 113 Spring 2010 Homework Problem Set No. 2 Submission deadline: 2/1/2010 Problem 7 In lecture we derived the power transmitted by the kinetic energy of a taut string for the transverse case. (a) Find the power transmitted by the (elastic) potential energy. (b) Show that the sum of the momentary powers (i.e., the sum of the kinetic energy power and the potential energy power) is independent of space and time. (c) Show that the average powers (either over a period or a wavelength) are equal. Hint : First write the change in potential energy on a mass element of the string because of a restoring force F , and use Newton’s Second Law. Then, find the work done by that force, and find how it is related to the change in potential energy. Lastly, find the time rate of change of the string element’s potential energy. Problem 8 A string of linear mass density μ 1 is connected smoothly to a string of linear mass density μ 2 . Find the refection and transmission amplitudes in terms of the mass densities, and
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HW2 - UAHuntsville PH 113 Spring 2010 Homework Problem Set...

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