The 50-lb weight is falling \(3 \mathrm{ft} / \mathrm{s}\) at the instant it is \(2 \mathrm{ft}\) above the spring and post assembly. Determine the maximum stress in the post if the spring has a stiffness of \(k=200 \mathrm{kip} / \mathrm{in}\). The post has a diameter of \(3 \mathrm{in}\). and a modulus of elasticity of \(E=6.80\left(10^{3}\right) \mathrm{ksi}\). Assume the material will not yield.

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3 ft/s k 2 ft www IT 2 ft