Note: For all problems in this HW$,$ neglect the mass of the frame.

$(30$ pts$)$ For the system shown below, determine the distance $x$ such that the moment about Point A is zero.

$(40pts)$

a$)$ If $=30,$ determine the moment at Point A and Point $B.$

b$)$ What would $$ need to be for the moment at A to be $200ft-lb$ clockwise?

$(30$ pts$)$ The connection at A can resist a maximum moment of $1\mathrm{.}8kN-m($in either direction$)$ before failing. Determine the range of values of F that will avoid failure at A $.$

$($ can you solve all three please $)$