Problem $3(10$ points$)$: Learning Outcome #$2$

Let's say you have water that is flowing into the pipe structure below at $3\frac{m}{s}$ and exits at the top where is discharged to the atmosphere. It has a clamp, holding the pipe in place. Determine the horizontal and vertical force $($both magnitude and direction$)$ that are required to hold the pipe in place assuming that the pipe and fluid have a combined weight of $120$ kg $.$ Let the diameter at the inlet, $A,be12cm$ and the diameter at exit, B$,$ be $6$ cm $.$ Let the density of water be $1000k\frac{g}{m^3}.$ The vertical distance between the Point A and Point $B$ is $4$ meters.

Part A: Determine the horizontal archoring force required to hold the pipe in place.

Part B: Determine the vertical archoring force required to hold the pipe in place.

Part A: Determine the horizontal archoring force required to hold the pipe in place.

Part B: Determine the vertical archoring force required to hold the pipe in place.