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Unformatted text preview: Physics 105, Problem Set 9 Due: Thursday, December 3, 2009, 3 PM. Reading: For waves, chapters 2021 of Knight’s “Physics for scientists and engineers” textbook (the PHY103 book), which are posted in Ereserves on the 105 Blackboard site. (This does not seem to download properly with Firefox, but works in Explorer.) Starting Nov. 30, we will cover thermodynamics, from Sections 114 of Fermi’s book. See also Chapters 1619 of Knight, which are posted. Problem 1. Consider a long string of mass density μ and under tension T s . One end, let’s call its position x = 0, is held by a support. Initially, the string is at rest, with the transverse displacement D ( x,t ) = 0 for all t < 0 at all positions along the string, x ≥ 0. Then the support is moved transversely by a small amount so D ( x = 0 ,t ) = A sin( πt/τ ) during the time interval 0 ≤ t ≤ τ . The support is then held at the original position ( D = 0) after time τ . This launches a wave pulse down the string. (a) What is the resulting displacement of the string D ( x,t )? Assume the wave does not reach the other end of the string. (b) How much total kinetic energy due to the motion of the string is contained in this wave at time t , for t > τ ? (c) How much total potential energy due to stretching the string is contained in this wave at time t , for t > τ ?...
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This note was uploaded on 11/05/2011 for the course PHY 105 at Princeton.
 '08
 LYMANA.PAGE
 Physics, mechanics

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