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Mechanical Vibrations (4th Edition)

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Unformatted text preview: jam) at = fleet) at + fat) at = fig) nu: +f:(+) 4t ...1 o o O _a. . =_— firm alt + fajzm 4+. 2 o --.—(Ez) Eauaffons' (51):).114 (E‘z) lama! {:3 Ln: 0. Also, since cos mat is an even funch‘on, we 3d: 72 1/: a." = 32-,- f xfi) COS 31696 C“? = if firth) COS hat dt -272 a For odd functions. 7: (at) = _ x (f). t/ ..--_-._---_----_-___-- 2 From E3. (1.72), Gun"; —%.—f:(e) cos hast At- :i I: (t) cos hart aH: . a _ t_% Since cos nut is an eVen funcfa’on , Cos (.nwt) = cos (NEE) ; H18 PWJUCf of 7‘67) “ma COS nnsf is 01" 00ch funcft'on. Hence an :o. Furi'her, Since sin mast is cm 00H function, 165) Sin moi: {5‘ am even func’cion am! hence 5:413:77- x({:) Sin nasf c“: n ? 26 ...
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