A damped simple harmonic oscillator can be described by d22 dz +27 + wêz = 0, dt2 dt == k re wi is the resonant frequenc

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A Damped Simple Harmonic Oscillator Can Be Described By D22 Dz 27 Wez 0 Dt2 Dt K Re Wi Is The Resonant Frequenc 1 (81.05 KiB) Viewed 22 times

A damped simple harmonic oscillator can be described by d22 dz +27 + wêz = 0, dt2 dt == k re wi is the resonant frequency. m Define the units of 7 and wa. Show that the general solution to this equation is z = Aedit + Betzt A and B constants, 11 = -~ + V12 – wž and 12 = -9-V72 – wa. On a clearly labelled graph, show how the displacement z varies with for the case of light damping. You should assume that at t = 0 the lacement is maximum. The damping is now increased such that the system becomes overdamped. 5 this system return to equilibrium quicker or slower than in the case of cal damping? Explain your reasoning.