Section 1 Oscillating Systems 1 A Damped Simple Harmonic Oscillator Can Be Described By Dt 27 Wc 0 Dt K Where W I 1 (29.62 KiB) Viewed 20 times
Section 1 Oscillating Systems 1 A Damped Simple Harmonic Oscillator Can Be Described By Dt 27 Wc 0 Dt K Where W I 2 (29.62 KiB) Viewed 20 times
SECTION 1 - Oscillating Systems 1 A damped simple harmonic oscillator can be described by dt +27 + wc = 0 dt k where w is the resonant frequency. (2 (a) Define the units of , and w (b) Show that the general solution to this equation is [6] 2= A + Beer with A and B constants. A = - + V2 - w and A2 = -1-2-wi (e) On a clearly labelled graph, show how the displacement : varies with time for the case of light damping. You should assume that at t = 0 the displacement is maximum [41 (d) The damping is now increased such that the system becomes overdamped. Does this system return to equilibrium quicker or slower than in the case of critical damping? Explain your reasoning [3]
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