$(20$ points$)$ Repeat problem $1,$ but considering the frame structure has

an internal hinge $($pin$)$ at the joint $($there roller support is still there$).$ Solve

for the rotation and vertical displacement at the joint of the frame assembly.

For each frame element, assume E$=30\backslash$times $10^(6)\backslash$psi $,$I$=50$in$^(4),$ and A$=5$

square inches. Repeat with a truss element on the right side.