Solve the given statics problem for a beam that is $4m$ long and $25cm$ tall. The mass of the

beam is $118\mathrm{.}8k\frac{g}{m}.$ The beam is pinned at the left $(A),$ and has a cable tension force at the

right $(T).$ Show the beam's mass can be modeled as an applied force of $4\mathrm{.}66kN$ at $2m$ from

the left. The beam also has an applied force of $10kN$ at a distance of $3m$ from the pin.

Assume $x=y=0$ at the pin.

Determine the horizontal and vertical forces at the pin $($Ax$,$ Ay$)$ and the tension in the cable

$(T).$ Also find the total magnitude of the force at the pin; find the required diameter of the

cable holding the force $T,$ if the axial stress must be no more than $2000$ psi.