(a) The mass-spring-damper system when the mass is subjected to an externally applied force P(t) has the form of a squar

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A The Mass Spring Damper System When The Mass Is Subjected To An Externally Applied Force P T Has The Form Of A Squar 1 (58.71 KiB) Viewed 83 times

(a) The mass-spring-damper system when the mass is subjected to an externally applied force P(t) has the form of a square wave as shown in Figure 3(a) below. PLO 10 o 3x: Figure 3(a) The force is described by 0 P(O) = { : <<27 P(6 + ) = P(). Give the value of A and the period T of the periodic function P(t). Write the formula for An, Q, and bn. You do not need to perform the calculations. (4 marks) Form the Fourier series for the function f(x) = {2; so, -1<x<0 with period 21. (11 marks) (b) = (c) (1) Sketch the graph of f(x) = |x| for -1 <x<1. (2 marks) Then, using the symmetrical property of the graph and answers in part (b), express f(x) as a Fourier series.