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Real mechanical system may involve the deflection of nonlinear springs. In Figure P8.34, a mass m is released a distance

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Real mechanical system may involve the deflection of nonlinear springs. In Figure P8.34, a mass m is released a distance h above a nonlinear spring. The resistance force F of the spring is given by

F = ? (k1d + k2d 3/2)

Conservation of energy can be used to show that

image

Solve for d, given the following parameter values: k1 = 50,000 g/s2, k2 = 40g/(s2?m0.5), m = 90 g, g = 9.81 m/s2, and h = 0.45 m.

image

Transcribed Image Text:

2kzd$/2 0= + kid - mgd - mgh II

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Numerical Methods For Engineers

Numerical Methods For Engineers

ISBN: 9780071244299

5th Edition

Authors: Steven C. Chapra, Raymond P. Canale

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Question Posted: November 17, 2011 10:46:09
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