A weight W = 4500 lb falls from a height h onto a vertical wood pole having length L = 15 ft, diameter d = 12 in., and modulus of elasticity E = 1.6 × 106 psi (see figure).
If the allowable stress in the wood under an impact load is 2500 psi, what is the maximum permissible height h?

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W 4,500 Ib d 12 in. L 15 ft