Problem $5$: $(20$ points$)$

A $300$ N force P is applied at point A of the bell crank shown.

a$)$ Compute the moment of the force P about O by resolving it into horizontal and vertical components

b$)$ Using the result of part a$),$ determine the perpendicular distance $($moment arm$)$ from $O$ to the line of action of $P$

c$)$ What force F can counteract the moment about point O produced by P $?($Hint: Summation of moments taken about O is zero$)$