A nonlinear spring Hooke’s law is applicable to idealized
Chapter 2, Problem 41E(choose chapter or problem)
A nonlinear spring Hooke's law is applicable to idealized (linear) springs that are not stretched or compressed too far. Consider a nonlinear spring whose restoring force is given by \(F(x)=16 x-0.1 x^{3}, \text { for }|x| \leq 7\)
a. Graph the restoring force and interpret it.
b. How much work is done in stretching the spring from its equilibrium position (x = 0) to x = 1.5?
c. How much work is done in compressing the spring from its equilibrium position (x = 0) to x = -2?
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