Finding the reactions of a ladder against the floor & wall

In summary: The Attempt at a SolutionI'm practically stuck at how to approach this problem. I understand that the summation of forces is zero since its in static equilibrium. But what's really confusing me is how the man standing at that particular area will change the distribution of the forces.Will there only be a reaction in the y component at the bottom and reaction in the x component at the top?Any help would be greatly appreciated!
  • #1
skaterbasist
13
0

Homework Statement


[PLAIN]http://img571.imageshack.us/img571/4411/statics.jpg

A Man weighing 180lb has climbed 60% of the ladder shown. The ladder weighs 30 lb. Find the forces the wall & floor resists (reactions).

The angle the ladder makes with the floor is 60 degrees.

Homework Equations



Summation of forces in the x & y directions is zero since the ladder is in static equilibrium.

The Attempt at a Solution



I'm practically stuck at how to approach this problem. I understand that the summation of forces is zero since its in static equilibrium. But what's really confusing me is how the man standing at that particular area will change the distribution of the forces.

Will there only be a reaction in the y component at the bottom and reaction in the x component at the top?

Any help would be greatly appreciated!

P.S. The course I am taking is about Engineering Mechanics Statics.
 
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  • #2
Hint : Moments

Will there only be a reaction in the y component at the bottom and reaction in the x component at the top?

Half right, it's a smooth wall so only x component but it's a rough surface, so you've got to take that into account.
 
  • #3
skaterbasist said:

Homework Statement


[PLAIN]http://img571.imageshack.us/img571/4411/statics.jpg

A Man weighing 180lb has climbed 60% of the ladder shown. The ladder weighs 30 lb. Find the forces the wall & floor resists (reactions).

The angle the ladder makes with the floor is 60 degrees.

Where is your diagram? Wall is smooth or not ! Read the problem carefully. The man is standing 60% of the ladder means 60%* length of the ladder.
Draw the force diagram.
You must consider Normal reaction forces at the wall and the floor.
If the wall and floor are rough, you must consider friction.
Then use three equilibrim equations.
 
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Related to Finding the reactions of a ladder against the floor & wall

1. How do you find the reactions of a ladder against the floor and wall?

To find the reactions of a ladder against the floor and wall, you will need to use the principles of statics. This involves analyzing the forces acting on the ladder and using equations of equilibrium to solve for the reactions at the base of the ladder.

2. What factors affect the reactions of a ladder against the floor and wall?

The reactions of a ladder against the floor and wall can be affected by the length and weight of the ladder, the angle at which it is leaning against the wall, and the coefficient of friction between the ladder and the floor. Other factors such as uneven ground or wind can also impact the reactions.

3. Why is it important to find the reactions of a ladder against the floor and wall?

It is important to find the reactions of a ladder against the floor and wall to ensure that the ladder is stable and safe to use. If the reactions are not properly calculated, the ladder may tip over, causing injury to the user.

4. Can you use the same method to find the reactions for all types of ladders?

Yes, the same principles of statics can be applied to find the reactions for all types of ladders, including extension ladders, step ladders, and leaning ladders. However, the specific calculations may vary slightly depending on the ladder's design and the placement of its supports.

5. Are there any safety precautions to consider when finding the reactions of a ladder against the floor and wall?

Yes, it is important to ensure that the ladder is on a level and stable surface and that there are no obstructions or hazards in the surrounding area. It is also recommended to have a spotter hold the ladder steady while the reactions are being calculated. Always follow the manufacturer's instructions and guidelines when using a ladder.

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