Shown in the figure are the elements of a displacement meter used

Shown in the figure are the elements of a displacement meter used to study the motion yB = b sin wt of the base. The motion of the mass relative to the frame is recorded on the rotating drum. If l1 = 1.2 ft, l2 = 1.6 ft, l3 = 2 ft, W = 2 lb, c = 0.1 lb-sec/ft, and w = 10 rad/sec, determine the range of the spring constant k over which the magnitude of the recorded relative displacement is less than 1.5b. It is assumed that the ratio w/wn must remain greater than unity.

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