Problem $1(50$ pts$)$

A $200$ N force is applied as shown to the bracket ABC.

Determine the moment that this force exerts about B $(20$ pts $)$

Determine the moment of the force about axes $x,y$ and $z(15$ pts$)$

Determine the moment of the force about line AC $(15$pts$)$

Problem $2(50$ pts$)$

A couple and the three forces shown are applied to the machine component shown below. Replace

the forces and couple shown with:

$($a$)$ an equivalent force$-$couple system at point A $(25$ pts $)$

$($b$)$ a single force and find where its line of action crosses axis $(25$ pts$)$