A 2.00-m-long string fixed at one end and free at the
Chapter , Problem 64(choose chapter or problem)
A 2.00-m-long string fixed at one end and free at the other end (the free end is fastened to the end of a long, light thread) is vibrating in its third harmonic with a maximum amplitude of 3.00 cm and a frequency 100 Hz. (a)Write the wave function for this vibration. (b)Write a function for the kinetic energy of a segment of the string of length at a point a distance from the fixed end, as a function of time At what times is this kinetic energy maximum? What is the shape of the string at these times? (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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