uniform cross-sectional water tank is placed in a cart as shown in figure. The cart is mounted on frictionless rollers and the water is discharged to atmosphere through an attached nozzle. However, the the water level the tank is maintained at a constant height h above the nozzle by an external supply at a volumetric flow rate Q. The cart is restrained from moving by the cable seen in figure . The mass of the tank, cart and water is M. In terms of the parameters h, Aj and the water density ρρ. derive expressions for (a) the volumetric flow rate Q and (b) the tensile force T in the cable. (c) At time t = 0, the cable is cut, and the cart begins to move
A uniform cross-sectional water tank is placed in a cart as shown in figure. The cart is mounted on frictionless rollers and the water is discharged to atmosphere through an attached nozzle. However, the the water level the tank is maintained at a constant height h above the nozzle by an external supply at a volumetric flow rate Q. The cart is restrained from moving by the cable seen in figure . The mass of the tank, cart and water is M. In terms of the parameters h, Aj and the water density ρρ. derive expressions for
(a) the volumetric flow rate Q and
(b) the tensile force T in the cable.
(c) At time t = 0, the cable is cut, and the cart begins to move to the left at a velocity Vc{t} that
increases with time. Derive an expression for Vc{t}.
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