y(t) = y_{max} cos(ωt + ϕ)

v_{y}(t) = \frac{dy}{dt} = −ωy_{max} sin(ωt + ϕ)

KE_{max} = \frac{1}{2}mv_{max}^{2}

Energy = \frac{1}{2}mv_{max}^{2}

Energy = \frac{1}{2}m ω^{2}y_{max}^{2}

Energy = \frac{1}{2} (μvT) ω^{2}y_{max}^{2}

Power = \frac{Energy}{Time} = \frac{1}{2} (μv) ω^{2}y_{max}^{2}

v = \frac{ω}{k}

Power = \frac{1}{2} \frac{μ}{k} ω^{3}y_{max}^{2}