The nonlinear spring in Figure P2-20 has the force/deformation relationship f = kδ2. Express the total potential

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The nonlinear spring in Figure P2-20 has the force/deformation relationship f = kδ2. Express the total potential energy of the spring, and use this potential energy to obtain the equilibrium value of displacement.
Figure P2-20
k = 1000 lb/in. 500 lb
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