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A forced damped oscillator is govern by the equation: C K Fo + cos wt m m m k where wo = m The particular
A forced damped oscillator is govern by the equation: C K Fo + cos wt m m m k where wo = m The particular solution of the non homogeneous second order equation is given by: Xp (t) = A cos wt + B sin wt with For(wg - w2 ) Focw A = and B = m? ( wg - w2 ) + c 2 w 2 m? ( wa - w2 ) + c 2 w2 The particular solution could be written as:Fom(wg - w2 ) A = Focw and B = m2 ( wg - w2 ) + c 2 w 2 m? ( wa - w2 ) + ( 2 w 2 The particular solution could be written as: Xp (t) = C cos (wt - a) where C = VA2 + B2. Find the amplitude of the oscillation C in terms of the physical constants of the problem Fo, m, Wo, W, C
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