A nonlinear automobile spring is tested by having a 150-lb cylinder impact it with a speed v ₀ = 12 ft /sec. The spring resistance is shown in the accompanying graph. Determine the maximum deflection ? of the spring with and without the nonlinear term present. The small platform at the top of the spring has negligible weight.

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VO SI 150 lb Force F, lb Nonlinear F = 400x + 20x² Linear F = 400x Deflection 8, in. VO SI 150 lb Force F, lb Nonlinear F = 400x + 20x² Linear F = 400x Deflection 8, in.

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