Please show the FBD and explain and answer each part with step by step process for each part showing final answer.

Part $1\mathrm{.}1$

For the idealized model of a structural component loaded as shown, determine the reactions that the supports exert on the component.

Part $1\mathrm{.}2$

Include in your solution a check calculation. E$.$g$.$

if you used one moment equation of equilibrium and two scalar force equations of equilibrium, use a second moment equation about a different point to re$-$calculate one of your previously calculated values. Drawing is not to scale Dimensions are in m

The load magnitudes are as follows:

$P_1=5.xkN$

$P_2=4.YkN$

$M_1=3\mathrm{.}2kN.m$

Where $x,Y$ and Z are the last $3$ digits of your student number. E$.$g$.$ if your student number is $12345919$ then $x=9,Y=1$and $Z=9,$ and therefore $P_1=5\mathrm{.}9kN,P_2=4\mathrm{.}1kN$ and $M_1=3\mathrm{.}9kN.m.$

Part $2\mathrm{.}1$

For the three loads shown, determine the equivalent single force and moment at the pin connection.

Part $2\mathrm{.}2$

Determine the equivalent single force and indicate where its line of action crosses a horizontal line that passes through the pin connection.

Part $2\mathrm{.}3$

Use the single equivalent force found in Part $2\mathrm{.}2$ to determine the reactions again to see that they are the same as the answers determined in Part $1,$ thus showing that the single force is equivalent to the original loading.