A relief valve is mounted on top of a large vessel containing hot water. The inlet diameter to the valve is 4 in., and the outlet diameter is 6 in. The valve is set to open when the pressure in the vessel reaches $100 \mathrm{psig}$, which happens when the water is at $200^{\circ} \mathrm{F}$. The liquid flows through the open valve and exits to the atmosphere on the side of the valve, $90^{\circ}$ from the entering direction. The loss coefficient for the valve has a value of 5, based on the exit velocity from the valve.

(a) Determine the net force (magnitude and direction) acting on the valve.

(b) You want to attach a cable to the valve to brace it such that the tensile force in the cable balances the net force on the valve. Show exactly where you would attach the cable at both ends.