Equilibrium - Ladder against wall

In summary, a 7.0kg ladder is placed at an angle of 72 degrees against a smooth wall, with a 56kg person standing 4.0m from the bottom of the ladder. The force exerted by the wall on the ladder is calculated to be 129.5N. The coefficient of friction between the ladder and the ground is not given, but can be calculated by using the normal force from the floor in the equation Ffriction = uFnormal. The normal force can be found by considering the forces in the y-direction, where Fy = 69 + 540.
  • #1
canicon25
25
0

Homework Statement


A 7.0kg ladder is placed against a smooth wall so that it makes an angel of 72deg to the horizontal. A 56kg person stands 4.0m from the bottom of the ladder.

What force does the wall exert on the ladder?
What is the coefficient of friction between the ladder and the ground?

Homework Equations



EFy=0 : Fy=69+540
EFx=0: Fx=Fwall
ET=0: (5.71Fwall)= (69*0.93)+(540 * 1.23)
Fwall=129.5N

Ffriction = uFnormal

The Attempt at a Solution



Force exerted by wall is 129.5N. Friction force is therefore 129.5N

Stuck as to what force is the normal force used to calculate coefficient of friction.
 
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  • #2
canicon25 said:
EFy=0 : Fy=69+540
What about the force from the floor? (That's the missing normal force.)
 
  • #3
Thanks
 

FAQ: Equilibrium - Ladder against wall

1. What is the concept of equilibrium in the context of a ladder against a wall?

The concept of equilibrium in this context refers to a state where all forces acting on the ladder are balanced and there is no net force, causing the ladder to remain stationary and not tip over.

2. What factors affect the equilibrium of a ladder against a wall?

The factors that affect the equilibrium of a ladder against a wall include the weight of the ladder, the weight of the object or person on the ladder, the angle at which the ladder is leaning against the wall, and the coefficient of friction between the ladder and the ground.

3. How do you calculate the equilibrium of a ladder against a wall?

To calculate the equilibrium of a ladder against a wall, you need to consider the weight of the ladder and the weight of the object or person on the ladder as well as the angle at which the ladder is leaning against the wall. You can then use the principles of statics and trigonometry to determine the forces acting on the ladder and whether they are balanced or not.

4. What happens if the forces are not in equilibrium for a ladder against a wall?

If the forces acting on the ladder are not in equilibrium, the ladder will start to tip over. This can be dangerous and can result in injury to the person on the ladder and damage to surrounding objects.

5. How can you ensure the equilibrium of a ladder against a wall?

To ensure the equilibrium of a ladder against a wall, you should always make sure the ladder is placed on a level surface and the angle at which it is leaning against the wall is not too steep. You should also make sure the ladder is securely anchored to the ground or the wall and that the weight on the ladder is evenly distributed.

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