hw3solns - M and length L stretched to tension T : 1 n ML T...

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Phys 273 Homework 3 solutions H&L 2-1. A wave can always be cast in the form f ( x,t ) = f ( x+vt ) for a wave propagating along the – x direction, and f ( x,t ) = f ( x vt ) for propagation along the + x direction. We have f ( x,t ) =0.02 sin [2 π (0.5 x 10 t )] = 0.02 sin [ π ( x 20 t )]. (a) v = +20 m/s (b) wavenumber is π rads/m; wavelength (spatial period) = 2 m (c) frequency is 10 Hz, or 20 π rads/s (d) propagation in the + x direction (e) amplitude is 0.02m = 2 cm.
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French 6-2. Frequency of normal modes of a string of mass
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Unformatted text preview: M and length L stretched to tension T : 1 n ML T n n = = , where ML T = 1 , so the first three modes are 1 , 2 1 , and 3 1 . For the discrete version of 3 masses of mass M/3 separated by length L/4, we have ) 8 / sin( 3 4 ) 8 / sin( ) 4 / )( 3 / ( 2 1 n n L M T n = = , so the three normal modes have frequencies 0.84 1 , 1.55 1 , and 2.03 1 ....
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hw3solns - M and length L stretched to tension T : 1 n ML T...

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