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Physics 1251 HW 10 #8 Part B

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So I was able to get part a pretty easily using the equation f=(n/2L)(T/u)1/2 .  Then for part B it asks in what mode and with what frequency is it vibrating, if a node is observed at distance x (0.31 m in my case) away from one end.  I didn't really know how to approach this problem, or what equation I should be applying. An explanation on how to set up this part would be great. Thanks. 

asked Nov 3, 2014 in General by anonymous

1 Answer

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For this question, the distance between this given node and the end can be multiples of ||\lambda /2||. So there are a set of modes will fit this configuration. The lowest allowed mode is when this distance equals ||\lambda /2|| and you can find how many "loops" there are with this mode -- this gives the mode number (n).

The frequencies need to be also the same number (n) multiples of the fundamental ||f_1||.

Consider these conditions and you can find the possible modes and frequencies.
answered Nov 3, 2014 by PhysicsDude (21,750 points)
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