Ladder leaning against the wall, that we dont want to fall down

[hellbike]

problem:

ladder is leaning against the wall.

There is friction between ladder and wall - f1

and there is friction between ladder and ground - f2

what is the minimal angle between ladder and ground that ladder doesn't fall down.
I though it's easy, but then i realized it's not only about force - it's also about "circle motion" (you know what i mean). I don't know hot to solve it.tell me if my description itn's clear so i'll make picture.

 

[tiny-tim]

Hi hellbike!

You need to very carefully give names to the horizontal and vertical components of all the forces, and then balance the horizontal and vertical components (separately), and also take moments about some suitable point.

 

[kerimek]

I understand the problem you are facing. The minimal angle between the ladder and the ground that will prevent it from falling down is not just determined by the forces acting on the ladder, but also by the concept of "circle motion" or rotational stability. This means that in addition to considering the forces of friction between the ladder and the wall and the ground, we also need to consider the distribution of weight and the center of gravity of the ladder.

To solve this problem, we would need to use principles of physics such as torque, center of gravity, and rotational equilibrium. We would also need to take into account the material and weight of the ladder, as well as the surface it is leaning against.

If you would like a visual representation of this problem, I would be happy to create a diagram for you. However, the solution would require a more in-depth analysis and calculation using the principles mentioned above. I hope this explanation helps clarify the complexity of the problem and the need for a more thorough approach to finding the minimal angle between the ladder and the ground to prevent it from falling down.