Problem

Water flows steadily through the horizontal $\backslash (30^\{\backslash$circ$\}\backslash )$ pipe bend shown below. At station $1,$ the diameter is $0\mathrm{.}3$ m $,$ the velocity is $\backslash (12\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ),$ and the pressure is $128$ kPa gage. At station $2,$ the diameter is $0\mathrm{.}38$ m and the pressure is $145$ kPa gage. Determine the forces $\backslash ($ F$\_\{$x$\}\backslash )$ and $\backslash ($ F$\_\{$z$\}\backslash )$ necessary to hold the pipe bend stationary.

Step $1$

Draw a force$-$body diagram with all forces and momentums contributing to the resultant forces necessary to hold the nozzle to the pipe. Label forces unambiguously and define any variable for angles unambiguously.

Step $2$

Write the general form of the most appropriate conservation balances $($don$\text{'}$t integrate yet, don't substitute in numbers yet$).$

Step $3$

Simplify the conservation balances by integrating and simplifying the algebra $($don$\text{'}$t substitute in numbers yet$).$

Step $4$

Substitute in numbers and solve for the resultant force$($s$).$

COMPLETE WITH ALL STEPS AND DETAILS!!