The figure shows a pneumatic system whose center opening is controlled by a 3-way valve. The perimeter of the ports is w. When the reel is at the center, x = 0. While solving the problem, you can make assumptions that you think are realistic and define the necessary parameters. Find an expression that gives the rate at which the load of weight W moves upward when X = Xo. Find an expression for the rate at which the load moves downward when X = -Xo.

The figure shows a pneumatic system whose center opening is controlled by a 3-way valve. The perimeter of the ports is w. When the reel is at the center, x = 0. While solving the problem, you can make assumptions that you think are realistic and define the necessary parameters. Find an expression that gives the rate at which the load of weight W moves upward when X = Xo. Find an expression for the rate at which the load moves downward when X = -Xo.