(Vector statics) Effect of a pulley on free body diagram?

In summary, the free body diagram of the second case will be different from the first due to the presence of an axial load in the beam, causing compression. The magnitude of this force is equal to T, acting left, as determined by the equilibrium equations and the tension in the rope passing through an ideal pulley. This force is counteracted by a horizontal force of T acting right from the wall, resulting in the same shear and moment values as the first case. Alternatively, drawing a free body diagram of the pulley and the beam without the pulley can also show the same horizontal and vertical forces acting on the beam, but with an additional axial force of unknown magnitude.
  • #1
dmk90
8
0
For example, a 1-m bar fixed to a wall holding a weight of 100 N, like this:

f88b0724bf.jpg


How will the free body diagram of the second case different from the first?
 
Physics news on Phys.org
  • #2
Axial load In beam (compression).
 
  • #3
PhanthomJay said:
Axial load In beam (compression).
Can you explain what the magnitude of that force would be, and why?
 
  • #4
dmk90 said:
Can you explain what the magnitude of that force would be, and why?
As always, use free body diagrams and the equilibrium equations. The tension in a rope passing through an ideal pulley is the same on both sides of the pulley. So the force of the wall on the rope must have a magnitude of T, acting left. By summing external forces of the system in the x direction = 0, the horizontal force of the wall on the beam must also be T, acting right, since that it is the only place where another external force can exist. The shear and moment values in the beam are the same as in the first case.

Alternatively, you can draw a free body diagram of the pulley to identify the direction of the tension forces down and left, then a free body diagram of the beam without the pulley must show the same horizontal and vertical forces acting on it down and left. This gives the same result for beam forces and moments, but now their is an additional axial force in the beam, equal to _??__ N.
 

Related to (Vector statics) Effect of a pulley on free body diagram?

1. How does a pulley affect a free body diagram?

A pulley can change the direction of a force and distribute the load among multiple ropes or cables. This can result in a more complex free body diagram with additional forces acting on the system.

2. What is the difference between a fixed and movable pulley in a free body diagram?

A fixed pulley is attached to a stationary object and only changes the direction of force, while a movable pulley is attached to the moving object and also reduces the amount of force needed to lift the load.

3. How do you determine the tension in a rope or cable in a free body diagram involving a pulley?

The tension in a rope or cable can be determined by considering the forces acting on the pulley and using the principle of equilibrium to set the sum of the forces equal to zero.

4. Can a pulley be ignored in a free body diagram?

No, a pulley should not be ignored in a free body diagram as it can significantly affect the forces acting on a system and can change the overall equilibrium of the system.

5. How does the number of pulleys affect the free body diagram?

The number of pulleys in a system can affect the number and direction of forces acting on the system, leading to a more complex free body diagram. Additionally, the mechanical advantage of the system can change with the addition of more pulleys.

Similar threads

Replies
31
Views
3K
  • Mechanics
Replies
16
Views
873
Replies
6
Views
1K
Replies
14
Views
2K
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
497
  • Introductory Physics Homework Help
Replies
11
Views
749
Replies
5
Views
7K
Replies
3
Views
1K
Back
Top