Find the acceleration of the cart shown in Fig. P5.127 as a function of the water height in the cart, which varies with time. The initial total mass is \(m_{0}\), and the fluid density is \(ho_{0}\). Assume frictionless bearings, a frictionless surface, constant fluid density, uniform velocity over area \(A_{N}\), all the fluid in the cart has the cart velocity, no air drag, and \(A \gg A_{N}\).

Figure P5.127

Transcribed Image Text:

-A- AN ho Initial fluid height Po 100