problem15_53

University Physics with Modern Physics with Mastering Physics (11th Edition)

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15.53: a) See Exercise 15.10; , 2 2 2 y ω a t y y - = = and so . 2 2 ω k = = b) ( 29 2 2 2 2 2 4 2 2 μλ F π λ πv πf ω = = = and so . ) 4 ( 2 2 x F π k λ = The effective force constant k is independent of amplitude, as for a simple harmonic oscillator, and is proportional to the tension that provides the restoring force. The factor of 2 1 λ indicates that the curvature of the string creates the restoring force on a segment of the string. More specifically, one factor of
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