Problem $2$:

A $2$D general force system acts on the beam and unknown forces $A_y,B_x$ and a couple $M_B$ at point

B$.$ If the moment of all the forces and moments about $A$ is zero, determine the magnitude of the

unknown couple $M_B$ and direction $($ CCW or CW $)$; $2)$ If the moment of all the forces and moments

about $B$ is zero, determine the magnitude of unknown force Ay and direction $($up or down$)$; If the

sum of all the forces in x direction is also zero, determine the magnitude of the unknown force $B_x$

and direction $($right or left$).$ Hint: the moment of a couple in the x direction should be zero since

the pair of forces cancels each other out.