hw3solns

# hw3solns - M and length L stretched to tension T 1 ω π n...

This preview shows pages 1–4. Sign up to view the full content.

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.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
French 6-2. Frequency of normal modes of a string of mass
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: M and length L stretched to tension T : 1 ω π n ML T n n = = , where ML T = 1 , so the first three modes are 1 , 2ω 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 ....
View Full Document

{[ snackBarMessage ]}

### Page1 / 4

hw3solns - M and length L stretched to tension T 1 ω π n...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online