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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 100Hz (a) Write an expression for the kinetic energy of a segment of a segment of the string of length dx at a point x at some time l. At what time is its kinetic energy maximum? What is the shape of the string at this time? Find the maximum kinedic energy of the string by intergrating your expression for part (a) over the total length of the string. |
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