Question $3[22$ points$]$

Calculate the tension in the cord at point A$,$ as well as the reactions at supports B $($hinge$)$ and D $($fixed support$)$ to keep the system in equilibrium. What is the mass m in the box at this moment? The distributed forces and charges are as follows:

F $=1\mathrm{.}2$ kN

w$1=132$ N$/$m

w$2=267$ N$/$m

h $=2\mathrm{.}6$ m

The force F is applied at an angle of $60$ to the horizontal, and the cord's initial length is l$0=5$ m with a stiffness coefficient of k $=100$ N$/$m$.$ Write your final answers for the forces in Newtons to receive full points.