In periodic motion, it is often interesting to investigate the harmonic motion of an object. The decrease in amplitude caused by dissipative force is called damping, and the corresponding motion is called damped oscillation. Damped oscillation is governed by the following equation, where is the angular frequency of oscillation, A is the initial amplitude of the oscillation, m is the mass of an object, b is a constant that describes the strength of the damping force, t is time in seconds, h is the ratio between a force constant k and the mass m: where x(t) = Ae If = 60°, A = 4, v = b 2m @=h sin(at + p) b² 4m² b = 0.25, create a plot x(t) for 0 ≤t≤ 15, with h = 4. Label all the axes, 2m include gridlines and provide a title in your plot.

In periodic motion, it is often interesting to investigate the harmonic motion of an object. The decrease in amplitude caused by dissipative force is called damping, and the corresponding motion is called damped oscillation. Damped oscillation is governed by the following equation, where is the angular frequency of oscillation, A is the initial amplitude of the oscillation, m is the mass of an object, b is a constant that describes the strength of the damping force, t is time in seconds, h is the ratio between a force constant k and the mass m: where x(t) = Ae If = 60°, A = 4, v = b 2m @=h sin(at + p) b² 4m² b = 0.25, create a plot x(t) for 0 ≤t≤ 15, with h = 4. Label all the axes, 2m include gridlines and provide a title in your plot.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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