Computer] Consider an underdamped oscillator (such as a
Chapter 5, Problem 5.32(choose chapter or problem)
Computer] Consider an underdamped oscillator (such as a mass on the end of a spring) that is released from rest at position xo at time t = 0. (a) Find the position x(t) at later times in the form x(t) = e-fit[B cos(wit) + B2 sin(w1t)]. That is, find B1 and B2 in terms of xo. (b) Now show that if you let 13 approach the critical value wo, your solution automatically yields the critical solution. (c) Using appropriate graphing software, plot the solution for 0 < t < 20, with xo = 1, wo = 1, and /5 = 0, 0.02, 0.1, 0.3, and 1.
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