Originally Posted by

**ThePerfectHacker** How do I solve this,

"Given that the static fricton is $\displaystyle \mu_s =.25$ between the object weighing 60 lbs and the inclined plane. Find the force $\displaystyle P$ and angle $\displaystyle x$ such that motion is impending (about to happen).

(Note the Force Diagram I drew did not take shown rotation of axes. The coordinate system I am using is the same as in first diagram)

I resolve everything into component form.

$\displaystyle \vec{W}=<0,-60>$

$\displaystyle \vec{F}=<-.87F,-.5F>$

$\displaystyle \vec{N}=<-.5N,.87N>$

$\displaystyle \vec{P}=<P\cos(30^o+x),P\sin(30^o+x)>$

We also know that since motion is about to happen,

$\displaystyle F=\mu_s N=.25N$

But that is not sufficent to solve this problem.