How Do You Calculate Tension in Ropes Supporting a Painter on a Board?

  • Thread starter Tomiscool
  • Start date
  • Tags
    Equilibrium
In summary, the problem involves a 70 kg painter standing on a 6.4 m horizontal board suspended by vertical ropes. The goal is to find the tensions in the ropes when the painter stands 1.2 m from one end of the board. The key equations to consider are the sum of forces in the x and y directions, as well as torque. By setting up equations for equilibrium and considering the tendency to tip over, it can be determined that the tension in the rope closer to the painter will be greater than the tension in the rope further away.
  • #1
Tomiscool
5
0

Homework Statement


Basically, this is the problem,
A 70 kg painter is painting the wall of a building. He stands on a horizontal board of length 6.4 m and mass 15 kg, suspended from vertical ropes attached to each end. If the painter stands 1.2 m from one end of the board, what would the tensions in the ropes be?


Homework Equations


I know that the sum of all forces in the x direction must add to zero, as well as the sum of the forces in the y direction.


The Attempt at a Solution


I tried to, using a coordinate system, account for the mass of the board, as well as the human, but i simply do not know how to calulate the Tension of the ropes, both the rope far away and the rope close to the man. I do know that the tension closer to the man would be greater. Any help please?
 
Physics news on Phys.org
  • #2
Welcome to Physics Forums.

Can you show the equations you have set up for forces in the y direction?

Also, you will need to consider torque to solve this problem.
 
  • #3
Try thinking of it this way. If tou were walking along a see saw starting at the center--it wouldn't take long before you tipped over. Now imagine you have people on each end pushing if needed to maintain equilibrium. Who has to push, and who should pull?

Hint: Only one has to push. Tension is different--you cannot push, only pull. So any tendency to tip over has to be canceled by the difference in pulls, the sum of the pulls must equal the overall weight.

Edit: sorry redbelly, was working on mine, when yours was posted.
 

Related to How Do You Calculate Tension in Ropes Supporting a Painter on a Board?

1. What is equilibrium and why is it important in science?

Equilibrium is a state of balance or stability in a system, where the rates of forward and reverse reactions are equal. It is important in science because it allows us to understand and predict the behavior of chemical reactions and physical processes.

2. How do you solve an equilibrium problem?

To solve an equilibrium problem, you must first set up an equilibrium expression using the concentrations of the reactants and products. Then, you can use the equilibrium constant (K) to calculate the concentration of one unknown variable. Finally, you can use the calculated concentration to find the concentrations of all other unknown variables.

3. What factors can affect the equilibrium of a system?

The factors that can affect equilibrium include changes in temperature, pressure, and concentration of reactants and products. Catalysts and changes in volume can also affect equilibrium.

4. Can you give an example of an equilibrium problem?

An example of an equilibrium problem is the dissociation of acetic acid in water. The equilibrium constant expression for this reaction is Ka = [H3O+][CH3COO-]/[CH3COOH]. In this problem, you may be given the concentration of one of the species and asked to calculate the concentration of another species at equilibrium.

5. How does Le Chatelier's principle apply to equilibrium problems?

Le Chatelier's principle states that if a system at equilibrium is disturbed by an external stress, the system will shift in a way that relieves the stress and restores equilibrium. In equilibrium problems, this means that changes in temperature, pressure, or concentration can cause a shift in the equilibrium position of the reaction to maintain a state of balance.

Similar threads

  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
2
Replies
38
Views
1K
Replies
6
Views
859
  • Introductory Physics Homework Help
Replies
8
Views
747
  • Introductory Physics Homework Help
Replies
11
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
7K
  • Introductory Physics Homework Help
Replies
2
Views
784
  • Introductory Physics Homework Help
Replies
25
Views
4K
  • Introductory Physics Homework Help
Replies
8
Views
9K
  • Introductory Physics Homework Help
Replies
5
Views
1K
Back
Top