Finding the reactions of a ladder against the floor & wall

  • Thread starter Thread starter skaterbasist
  • Start date Start date
  • Tags Tags
    Reactions Wall
AI Thread Summary
A man weighing 180 lb has climbed 60% of a ladder that weighs 30 lb, positioned at a 60-degree angle to the floor. The problem requires finding the reaction forces at the wall and floor, considering static equilibrium. It is essential to account for normal reaction forces and potential friction if the surfaces are rough. A proper force diagram is necessary to visualize the forces acting on the ladder. Understanding the distribution of forces, including both x and y components, is crucial for solving the problem effectively.
skaterbasist
Messages
13
Reaction score
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.
 
Last edited by a moderator:
Physics news on Phys.org
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.
 
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.
 
Last edited by a moderator:
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
Thread 'Trying to understand the logic behind adding vectors with an angle between them'
My initial calculation was to subtract V1 from V2 to show that from the perspective of the second aircraft the first one is -300km/h. So i checked with ChatGPT and it said I cant just subtract them because I have an angle between them. So I dont understand the reasoning of it. Like why should a velocity be dependent on an angle? I was thinking about how it would look like if the planes where parallel to each other, and then how it look like if one is turning away and I dont see it. Since...
Thread 'Correct statement about a reservoir with an outlet pipe'
The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater than speed at the water surface (ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not? (iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...
Back
Top