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 (k 1 d k 2 d 3 2 ) Conservation of energy can be used to show that Solve for d, given the following parameter values k 1 50,000 g s 2 , k 2 40g (s 2 m 0 5 ), m 90 g, g 9 81 m s 2 , and h 0 45 m 2kzd$ 2 0 kid mgd mgh II

Question: 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.

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

Solve for d, given the following parameter values: k₁ = 50,000 g/s², k₂ = 40g/(s^2?m^0.5), m = 90 g, g = 9.81 m/s², and h = 0.45 m.

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

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