Real mechanical systems may involve the deflection of nonlinear springs. In Fig. P6.20, a block of mass

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Real mechanical systems may involve the deflection of nonlinear springs. In Fig. P6.20, a block of 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

Solve for d, given the following parameter values: k₁= 40,000 g/s², k² = 40 g/(s² m⁵), m = 95 g, g = 9.81 m/s², and h = 0.43 m.

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Real mechanical systems may involve the deflection of nonlinear springs. In Fig. P6.20, a block of mass

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T P + 4 (b) O IP (a) h

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Applied Numerical Methods With MATLAB For Engineers And Scientists

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