GATE Papers >> Mechanical >> 2007 >> Question No 53

Question No. 53 Mechanical | GATE 2007

The equation of motion of a harmonic oscillator is given by d2xdt2+2ζωndxdt+ωn2x=0, and the initial conditions at t = 0 are x0=X,dxdt0=0. The amplitude of x(t) after n complete cycle is


Answer : (A) Xe-2nπζ1-ζ2


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