An off-highway truck drives onto a concrete deck scale to be weighed, thus causing the tru...

An off-highway truck drives onto a concrete deck scale to be weighed, thus causing the truck and scale to vibrate vertically at the natural frequency of the system. The empty truck weighs 74,000 lb, the scale platform weighs 51,000 lb, and the platform is supported by eight identical springs (four of which are shown), each with constant k = 3.6 × 105 lb/ft. Modeling the truck, its contents, and the concrete deck as a single particle, if a vibration frequency of 3.3 Hz is measured, what is the weight of the payload being carried by the truck?

Figure P9.14