Find Coefficient of Friction for Homogeneous Cube on Floor/Wall

[matematikuvol]

Homework Statement

Homogeneous cube with one edge lying on the floor and the other on a smooth vertical wall. The underside of cube with a horizontal surface makes angle of
π6
.What is the value to the coefficient of friction between the cube and the floor to cube remain in balance.

Homework Equations

∑F=0

∑M=0

M=rF

M is momentum of force.

The Attempt at a Solution

In static case

∑F=0

∑M=0

I need help to write this equation from the problem statement. I don't have idea.
Because cube is homogenuous the forces are equal from all parts I suppose.

. Do you have any idea? I think this goes in one line but it is hard for me.
Tnx for your answer.

 

[tiny-tim]

hi matematikuvol!

Homogeneous cube with one edge lying on the floor and the other on a smooth vertical wall. The underside of cube with a horizontal surface makes angle of π/6.
What is the value to the coefficient of friction between the cube and the floor to cube remain in balance.
…
I need help to write this equation from the problem statement. I don't have idea.
Because cube is homogenuous the forces are equal from all parts I suppose.

homogeneous simply means that (in this case) the weight goes through the centre of the cube

draw yourself a free body diagram …

the main problem in this case is to find the horizontal distance between the centre and the bottom edge! ​