Reaction force of ladder against wall

This means the wall reaction and the floor reaction must be equal in magnitude and opposite in direction. The mass of the woman adds a force of 735N. In summary, the ladder's length is 6m and is resting against a smooth wall at 25" from the wall. The floor is rough and a woman weighing 75kg is standing halfway up the ladder. By using a graphical solution, it can be determined that the reaction between the ladder and the wall is equal in magnitude and opposite in direction to the reaction of the floor and the ladder. The woman's weight adds a force of 735N.
  • #1
cream_pepe
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A ladder of 6m long rests along a smooth wall at 25" from the wall. The floor on which the ladder rests is rough. Standing half way up the ladder is a woman of mass 75kg. Assuming the ladder does not slip. Determine by graphical solution

a. The reaction between the ladder and the wall.
b. The reaction of the floor and the ladder.

Basically I don't know where to even start. Does anyone know a good page that explains this topic? I would be very grateful if someone could provide a solution, but I know that's too much to ask. Thank you very much for your time.
 
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  • #2
determine all the forces that affect the ladder.

Since the ladder doesn't move the horizontal and vertical components of these forces have to cancel as well as the torque around any axis
 

1. What is the reaction force of a ladder against a wall?

The reaction force of a ladder against a wall is the force exerted by the wall on the ladder in response to the ladder pushing against the wall.

2. How is the reaction force of a ladder against a wall calculated?

The reaction force of a ladder against a wall can be calculated using Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction.

3. Does the angle of the ladder affect the reaction force?

Yes, the angle of the ladder will affect the reaction force. The greater the angle of the ladder, the greater the reaction force will be.

4. Why is it important to consider the reaction force of a ladder against a wall?

It is important to consider the reaction force of a ladder against a wall in order to ensure the stability and safety of the ladder and the person using it. Knowing the reaction force can help determine if the ladder is securely positioned against the wall.

5. Are there any factors that can affect the reaction force of a ladder against a wall?

Yes, there are several factors that can affect the reaction force of a ladder against a wall, such as the weight and position of the person on the ladder, the material and condition of the ladder, and the strength and stability of the wall. It is important to consider all of these factors when using a ladder against a wall.

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