ch16-p054 - k is determined by the existence of the node at...

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(c) We take the derivative with respect to time and obtain, at t = 0.50 s and x = 0.20 m, () () 0.04 cos cos 0 dy uk x t dt ωω == = . d) The above equation yields u = –0.13 m/s at t = 1.0 s. (e) The sketch of this function at t = 0.50 s for 0 x 0.40 m is shown below: 54. From the x = 0 plot (and the requirement of an anti-node at x = 0), we infer a standing wave function of the form ( , ) (0.04)cos( )sin( ), yxt kx t ω =− where 2/ r a d / s T ωπ π ==
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Unformatted text preview: k is determined by the existence of the node at x = 0.10 (presumably the first node that one encounters as one moves from the origin in the positive x direction). This implies k (0.10) = π /2 so that k = 5 π rad/m. (a) With the parameters determined as discussed above and t = 0.50 s, we find (0.20 m, 0.50 s) 0.04cos( )sin( ) 0.040m . y kx t = − = (b) The above equation yields (0.30 m, 0.50 s) 0.04cos( )sin( ) 0 . y kx t = − =...
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This note was uploaded on 04/16/2011 for the course PHYSICS 191262 taught by Professor Najafzadeh during the Spring '09 term at The Petroleum Institute.

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