Help with Torque | Troubleshooting Ladder Angles & Forces

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In summary, an 8.0m, 200-N uniform ladder rests against a smooth wall. The coefficient of static friction is 0.60 and the ladder makes a 50 degree angle with the ground. If I have to solve it for you then it is $150/hr.
  • #1
gibson72
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Ive been coming acrosse problems in this subject that I am not sure how to do.

for example

1.An 8.0m, 200-N uniform ladder rests against a smooth wall. The coefficient of static friction is 0.60 and the ladder makes a 50 degree angle with the ground. how far up the can an 800-N person climb before the ladder begins to slip?

for this problem I drew a free body diagram and I new were to place the different forces on it. I just do not know how to handle the information given to me as well as properly utilize it.

Also I understand how to do problems were sum of torque is in equilibrium such as a hanging sign or a lamp. I am having problems in general with problems that involve ladders at an angle against a wall with different forces, such as a person, on them.
 
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  • #2
I'm glad you are doing well with the equilibrium problems!

Can you attach your free body diagram of this problem so we can see it?
I really want to check to see that you are putting in certain forces (like the friction), and how you've put in the person (who can move). Then we can better discuss where to go with this next.
 
  • #3
Always sum moments about the point where the most unknown forces are. This is key. For this, I would sum the moments about the bottom of the ladder. That way, your only unknown is the normal force of the wall on the upper part of the ladder. Then you now know a critical value. You also know that the friction force is independent of the angle or distance of the load. Ta Daaaa. Plug and chug from here.

If I have to solve it for you then it is $150/hr.

This is easy. Draw a good picture.
 
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Related to Help with Torque | Troubleshooting Ladder Angles & Forces

What is torque and how is it calculated?

Torque is the rotational force applied to an object. It is calculated by multiplying the force applied to the object by the distance from the axis of rotation.

Why is it important to troubleshoot ladder angles and forces?

Troubleshooting ladder angles and forces is important to ensure that the ladder is stable and safe to use. Incorrect angles or forces can lead to the ladder tipping over, causing injury.

What are some common causes of unstable ladder angles?

Unstable ladder angles can be caused by uneven ground, improper placement of the ladder, or incorrect weight distribution on the ladder.

How can I determine the correct ladder angle for a specific task?

The correct ladder angle is typically 75 degrees from the ground. However, for more precise measurements, you can use the "4-to-1 rule" which states that for every 4 feet of height, the base of the ladder should be 1 foot away from the wall.

Is there a maximum weight limit for ladders?

Yes, each ladder has a weight limit specified by the manufacturer. It is important to check the weight limit before using the ladder and to never exceed it.

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