- #1

- 70

- 0

## Homework Statement

A uniform ladder of mass, m, and length, l, leans at an angle, [tex]\theta[/tex], against a frictionless wall. If the coefficient of static friction between the ladder and the ground is [tex]\mu_{s}[/tex], what is the minimum angle at which the ladder will not slip?

## Homework Equations

## The Attempt at a Solution

I've attached my FBD.

SFx = mg - N = 0

SFy = [tex]\mu[/tex]mg - Fw = 0

St = FwL - mg(L/2) = 0

mg = N

[tex]\mu[/tex]mg = Fw

FwL = mg(L/2)

L/2 = [tex]\mu[/tex]

Where do I go from here?