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Suppose a Spring Has Mass MM And Spring Constant kk And Let ω=k/M\omega = \sqrt { k / M }

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Suppose a spring has mass MM and spring constant kk and let ω=k/M\omega = \sqrt { k / M } . Suppose that the damping constant is so small that the damping force is negligible. If an external force F(t)=8F0cos(ωt)F ( t ) = 8 F _ { 0 } \cos ( \omega t ) is applied (the applied frequency equals the natural frequency), use the method of undetermined coefficients to find the equation that describes the motion of the mass.

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