A 2-m string is fixed at one end and is vibrating in its third harmonic with amplitude

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A 2-m string is fixed at one end and is vibrating in its third harmonic with amplitude 3 cm and frequency 100 Hz.

(a) Write the wave function for this vibration.

(b) Write an expression for the kinetic energy of a segment of the string of length dx at a point x at some time t. At what time is this kinetic energy maximum? What is the shape of the string at this time?

(c) Find the maximum kinetic energy of the string by integrating your expression for part (b) over the total length of the string.

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Fundamentals of Ethics for Scientists and Engineers

ISBN: 978-0195134889

1st Edition

Authors: Edmund G. Seebauer, Robert L. Barry

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Question Posted: Jul 14, 2011 08:07 PM

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A 2-m string is fixed at one end and is vibrating in its third harmonic with amplitude

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a Using 43 m yx t 003 sin 3x4 cos 200tm b dm dx dK 12v y 2 dm dK 126sin 3x4 s...View the full answer

Fundamentals of Ethics for Scientists and Engineers

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