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**Unformatted text preview: **A Closer Look at Forced Mechanical Vibrations, page 227 1. The frequency response curve (13) on page 223, with m = 4, k = 1, and b = 2, becomes M ( ) = 1 p ( k m 2 ) 2 + b 2 2 = 1 p (1 4 2 ) 2 + 4 2 . The graph of this function is shown in igure B.26 in the answers in the text. 3. The auxiliary equation in this problem is r 2 +9 = 0, which has roots r = 3 i . Thus, a general solution to the corresponding homogeneous equation has the form y h ( t ) = C 1 cos 3 t + C 2 sin 3 t. We look for a particular solution to the original nonhomogeneous equation of the form y p ( t ) = t s ( A cos 3 t + B sin 3 t ) , 241...

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