[Computer] Consider an under damped oscillator (such as a mass on the end of a spring) that is released from rest at position x oat time t = 0. (a) Find the position x(t) at later times in the form
That is, find B 1and B2 in terms of xo . (b) Now show that if you let 13 approach the critical value ωo, your solution automatically yields the critical solution. (c) Using appropriate graphing software, plot the solution for 0 ≤ t ≤ 20, with xo= 1, ωo = 1, and β = 0, 0.02, 0.1, 0.3, and 1.
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