Clearly show your work for each problem $(2$ problems and $1$ bonus$).$ Box your final solutionA thin plate OABC sits in the $xy$ plane. Cable $BD$ pulls with a tension of $4kN$ through

a frictionless ring at point. $($a$)$ Find the moment caused by the tension force around

point $O.($b$)$ Find the moment about the hinge $($CO$)($x$-$axis$).$

$($make sure you use proper significant figures and include units$).$

$A5m$ beam $($AD$)$ is shown below with two forces and a free moment acting upon it$.$

The force at point $B$ is $2N$ acting down at a $60$ degree angle and the force at point $C$

is $3N$ up$.$ The free moment is $13Nm.$ The distance from $A$ to $B$ is $2m$ and the

distance from $A$ to $C$ is $4m.$ Replace the loading system acting on the beam by an

equivalent resultant force and couple moment at point $A.$