Ladder leaning on wall, person on ladder.

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In summary: I completely forgot about the angleIn summary, the problem involves finding the unknown forces and distance using torque equations. The individual's weight is given as 150 lbf, with a coefficient of friction of 0.24. The person is 3 feet away from point 1 and 7 feet away from point 2, with a horizontal distance of 4 feet. The correct torque equation is ##\vec{\tau}=\vec{r}\times\vec{F}##.
  • #1
astrologically
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http://ronney.usc.edu/AME101/AME101-F14-PS3.pdf

number 1 in the link tyty
 
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  • #2
Please use the template provided, and also show what you did to try to solve the problem.
 
  • #3
ohhh my bad
 
  • #4
uhh how do i get the template now?
 
  • #5
You can start a new thread in another window and just copy and paste the template over to here.
 
  • #6
anyways naming the point of where ladder touching the wall 1 and the part where the ladder touches the ground 2 I have
Fn1 will the wall's force on the ladder and Fn2 will be the ground's force on the ladder. Ffr1 is friction of where 1 is and Ffr2 is friction force of where 2 is.

Sum of Fx= Fn1 - Ffr2=0 Fn1=Ffr2
Sum of Fy=Ffr1+Fn2=0=Ffr1+Fn2-150

then I'm not sure what to do.
 
  • #7
hmm i did try your way but it's not giving me the template anymore
 
  • #8
ahh found it

Homework Statement


to find all unknowns.
mu2=0.24
distance from person to 1 is 3ft
distance form person to 2 is 7ft
horizontal distance is 4ft
mg of individual is 150lbf

Homework Equations


torque=fd

The Attempt at a Solution


Sum of Fx= Fn1 - Ffr2=0 Fn1=Ffr2
Sum of Fy=Ffr1+Fn2=0=Ffr1+Fn2-150[/B]
 
  • #9
EDIT: looks like you found it.

I see that your relevant equations has a torque equation in it, and yet you did not attempt to use it in your solution. Why is that?
 
  • #10
oh sorry I did try taking moments in both point 1 and point 2 and turned out with nothing.

Taking moment at point 1.
M1=-(3(150))+Fn2(10)

Taking moment at point 2
M2=-(Fn1(10)+(7(150))

Taking moment at where the person is at
M3=-Fn1(3)+Fn2(7)

From there on I'm not sure what to do
 
  • #11
Your moment equations are incorrect because they don't take into account the angle between the force and the radius displacement. The correct equation for torque is ##\vec{\tau}=\vec{r}\times\vec{F}##

Also, at point 1 (and at point 2), there are 2 different forces, the frictional force and the normal force. You have to take both of them into account.
 

FAQ: Ladder leaning on wall, person on ladder.

How do you calculate the stability of a ladder leaning against a wall?

To calculate the stability of a ladder, you need to consider the angle of the ladder, the weight of the person on the ladder, the distance between the base of the ladder and the wall, and the coefficient of friction between the ground and the ladder. You can use the formula: stability = (weight x distance) / (height x coefficient of friction).

What is the safest angle for a ladder to lean against a wall?

The safest angle for a ladder to lean against a wall is between 75 and 78 degrees. This provides a good balance between stability and reach, and reduces the risk of the ladder tipping over.

How much weight can a ladder support when leaning against a wall?

The weight limit of a ladder depends on its type and material. Generally, a standard ladder can support up to 250 pounds, while heavy-duty ladders can support up to 375 pounds. It is important to always check the weight limit of the specific ladder you are using.

What safety precautions should be taken when using a ladder leaning against a wall?

When using a ladder, it is important to make sure it is on a flat and stable surface, the base of the ladder is secured, and the ladder is at the correct angle. Always maintain three points of contact with the ladder (two hands and one foot or two feet and one hand) and never overreach or stand on the top three rungs of the ladder.

Can a ladder leaning against a wall be used on any type of surface?

No, a ladder should only be used on flat and stable surfaces. Avoid using a ladder on slippery or uneven surfaces as it can increase the risk of the ladder tipping over. If necessary, use a ladder stabilizer or leveler to ensure the ladder is secure.

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