Problem $3(30$ points$).$

The system in the figure is in equilibrium. A concrete block of mass $200$ kg hangs from the end of the uniform strut of mass $70$ kg $.$ For angles $=30$ and $=53\mathrm{.}0,$ find $($a$)(10$ points$)$ the tension $T$ in the cable and the $($b$)(10$ points$)$ horizontal and $($c$)(10$ points$)$vertical components of the force on the strut from the hinge.