damped_oscillation_handout_2up

damped_oscillation_handout_2up - Undamped Oscillations...

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Unformatted text preview: Undamped Oscillations (p=2, m=1, k=1, b=0, x0=0, v0=1) 1 1 Under-Damped Oscillations (p=2, m=1, k=1, b=0.25, x0=0, v0=1) exp(-b*t/2m) 0.5 0.5 y(t) 0 y(t) 0 5 10 15 20 25 t 30 35 40 45 50 0 -0.5 -0.5 -1 -1 0 5 10 15 20 25 t 30 35 40 45 50 Undamped Phase Space (p=2, m=1, k=1, b=0, x0=0, v0=1) 1 1 Under-Damped Phase Space (p=2, m=1, k=1, b=4, x0=0, v0=1) 0.5 0.5 v(t) 0 v(t) -1 -0.5 0 x(t) 0 -0.5 -0.5 -1 0.5 1 -1 -1 -0.5 0 x(t) 0.5 1 Critically Damped Oscillations (p=2, m=1, k=1, b=2, x0=0, v0=1) 0.5 t*exp(-b*t/2m)" 0.5 Over-Damped Oscillations (p=2, m=1, k=1, b=4, x0=0, v0=1) 0.4 0.4 0.3 0.3 y(t) 0.2 y(t) 0 2 4 t Critically Damped Phase Space (p=2, m=1, k=1, b=2, x0=0, v0=1) 6 8 10 0.2 0.1 0.1 0 0 -0.1 -0.1 0 2 4 t 6 8 10 Over-Damped Phase Space (p=2, m=1, k=1, b=4, x0=0, v0=1) 1 1 0.5 0.5 v(t) 0 v(t) -1 -0.5 0 x(t) 0 -0.5 -0.5 -1 0.5 1 -1 -1 -0.5 0 x(t) 0.5 1 ...
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damped_oscillation_handout_2up - Undamped Oscillations...

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