# Reaction Force On Ladder and Wall Case

• e.pramudita
In summary, the reaction force on a ladder when leaning against a wall is the force exerted by the wall on the ladder to keep it in place, acting perpendicular to the wall. The angle of the ladder affects the reaction force by changing weight distribution and making it more difficult to keep the ladder stable. If the ladder is not placed at a 90-degree angle, the reaction force will increase. The weight of the person on the ladder also affects the reaction force, with more weight making it harder to keep the ladder in equilibrium. It is possible for the reaction force to exceed the weight of the person, especially if the ladder is not at a 90-degree angle or the person's weight is not evenly distributed.
e.pramudita

## Homework Statement

https://dl.dropbox.com/u/63664351/Physics/MECH1.PNG

## Homework Equations

Sum of Forces and Torque = 0

## The Attempt at a Solution

I found similar problem here: http://farside.ph.utexas.edu/teaching/301/lectures/node133.html
Why is there no vertical reaction on a ladder standing on the wall?

Last edited by a moderator:
Why is there no vertical reaction on a ladder standing on the wall?

because...

A uniform ladder of mass and length is leaned against a smooth vertical wall.

PS: In your problem there might be another force "missing" as well.

## 1. What is the reaction force on a ladder when leaning against a wall?

The reaction force on a ladder when leaning against a wall is the force exerted by the wall on the ladder in order to keep it in place. This force acts perpendicular to the wall and is equal in magnitude but opposite in direction to the force exerted by the ladder on the wall.

## 2. How does the angle of the ladder affect the reaction force?

The angle of the ladder affects the reaction force by changing the distribution of weight and the amount of force required to keep the ladder in equilibrium. As the angle increases, the reaction force also increases, making it more difficult to keep the ladder stable.

## 3. What happens to the reaction force if the ladder is not placed at a 90-degree angle to the wall?

If the ladder is not placed at a 90-degree angle to the wall, the reaction force will increase. This is because the angle between the ladder and the wall affects the distribution of weight and creates a larger component of weight that is perpendicular to the wall, thus increasing the reaction force.

## 4. How does the weight of the person on the ladder affect the reaction force?

The weight of the person on the ladder affects the reaction force by adding to the overall weight that the ladder must support. As the weight increases, the reaction force also increases, making it more difficult to keep the ladder in equilibrium.

## 5. Is it possible for the reaction force to exceed the weight of the person on the ladder?

Yes, it is possible for the reaction force to exceed the weight of the person on the ladder. This can happen if the ladder is not placed at a 90-degree angle to the wall or if the weight of the person is significantly distributed towards one side of the ladder. In this case, the reaction force may be greater than the weight of the person, making it more difficult to keep the ladder stable.

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