Fricition: Block on inclined plane

[yellowsnow]

Homework Statement

What is the maximum angle (theta) for which the block of mass m in (figure) will not slide down the incline if the coefficient of static friction is 0.30 and ||P|| = 0?

Figure:

Homework Equations

I know this isn't a hard problem, but I just seem to be stuck on it.

The Attempt at a Solution

I started by replacing the force "P" with it's X and Y components, then adding the 2 forces to the block, "mg" and "N", the normal force.

After that I'm stumped. I'd appreciate if anyone can help me.

 

[tiny-tim]

Welcome to PF!

Hi yellowsnow! Welcome to PF!

What is the maximum angle (theta) for which the block of mass m in (figure) will not slide down the incline if the coefficient of static friction is 0.30 and ||P|| = 0?
…
I started by replacing the force "P" with it's X and Y components, then adding the 2 forces to the block, "mg" and "N", the normal force.

(do you really mean ||P|| = 0 ?)

It's a lot easier if you replace g, by its slope and normal components