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Ange98
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Homework Statement
A string of length L, which is clamped at both ends and has a tension T , is pulled aside a distance h at its center and released. a) What is the energy of the subsequent oscillations? b) How often will the shape shown in the figure reappear? (Assume that the tension remains unchanged by the small increase of length caused by the transverse displacements.) [Hint: In part (a), consider the work done against the tension in giving the string its initial deformation.]
Picture here:
http://ocw.mit.edu/courses/physics/8-03sc-physics-iii-vibrations-and-waves-fall-2012/unit-ii-waves/pset-5/MIT8_03SCF12_OCW_PS05.pdf
Homework Equations
:[/B]This is part of my problem.. I have no idea what equations I should be working with.
The Attempt at a Solution
Tried using work and energy but I couldn't get any where with it. I have the answer though it is:
TL[ sqrt(1+ (2h/L)^2) + 1 ]
and b is every 2(ML/T)^(1/2) seconds.
Any help is greatly appreciated!
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