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Problem 1 Determine the Fourier series for the triangular wave shown in Fig 1. Figure 1: Figure 1. x(t) 1.0 o TC 210 3x wt Problem 2 Plot the frequency spectrum for the triangular wave of problem 1. Problem 3 Determine the mean square value of the triangular wave of prob- lem 1. Problem 4 Consider two harmonic motions of different frequencies: X1 (t) = 2 cos 2t and X2 (t) = cos 3t. Is the sum X1 (t) + (t) a harmonic motion? If so, what is its period? Problem 5 Find the maximum and minimum amplitudes of the combined motion x(t) = X1 (t) + x2 (t) when X1 (t) = 3 sin 30t and x2(t) = 3 sin 29t. Also find the frequency of beats corresponding to x(t). 1

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