Question

(Unless otherwise instructed, assume that the damping is light to moderate so that the amplitude of the forced response is a maximum at a / 1.) The seismic instrument shown is attached to a structure which has a horizontal harmonic vibration at 3 Hz. The instrument has a mass m = 0.5 kg, a spring stiffness k = 10 N/m, and a viscous damping coefficient c = 2 N.s/m. If the maximum recorded value of x in its steady-state motion is X = 2 mm, determine the amplitude b of the horizontal movement of the structure. b = mm Em ww Stractare Problem 8/68

Answer 1

Ques). W=2nf = 2*318.85 radis m 10.5 = 414.72 reels งา e- 18.85 4:21498 4.472 2 2x0.5 x 4.472 -= 0.44723 2mon -2mon = 30.5*4.472 = 0 M = Jl-r? ² + (279) 11-14-21498)3)2+(2+0.44723 x4-21498) = 0.05819 X=02M 0.002 = (4.21498)>0.05819 b= 1.93450mm CSscanned with CamScanner