The instrument is centered uniformly on a platform P, which in turn is supported by four s...

The instrument is centered uniformly on a platform P, which in turn is supported by four springs, each spring having a stiffness k = 130 N/m. If the floor is subjected to a vibration ω = 7 Hz, having a vertical displacement amplitude δ0 = 0.17 ft, determine the vertical displacement amplitude of the platform and instrument. The instrument and the platform have a total weight of 18 lb