If I pull a pulley, what is the tension in the string around it?

Click For Summary
SUMMARY

The tension in the string around a massless pulley is F/2 for each branch due to the absence of net force acting on the pulley. Since the pulley is weightless, it cannot experience acceleration, leading to the conclusion that the forces must balance out. Specifically, the forces acting on the pulley are T1 and T2, which must equal the applied force F, resulting in T1 + T2 = F. Under ideal conditions with no friction, T1 equals T2.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of force and tension concepts
  • Familiarity with the mechanics of pulleys
  • Concept of equilibrium in physics
NEXT STEPS
  • Study the principles of static equilibrium in mechanics
  • Learn about the effects of friction on pulley systems
  • Explore the dynamics of non-massless pulleys
  • Investigate real-world applications of pulley systems in engineering
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding the mechanics of pulley systems and tension forces in static equilibrium.

phantomvommand
Messages
287
Reaction score
39
Homework Statement
Please see the attached photo
Relevant Equations
F = ma
Screenshot 2021-03-16 at 12.24.16 AM.png

I assumed that each of the masses attached to the string would be pulled with a force F, instead of F/2, which appears to be the correct value. Why is it F/2? I suspect the fact that the pulley is "weightless" has something to do with the F/2 value. What is it?

Thank you.
 
Physics news on Phys.org
phantomvommand said:
Why is it F/2? I suspect the fact that the pulley is "weightless" has something to do with the F/2 value.
Yes indeed. Since the pulley is massless, there cannot be a net force on it -- if there was, its acceleration would be infinite.
 
Doc Al said:
Yes indeed. Since the pulley is massless, there cannot be a net force on it -- if there was, its acceleration would be infinite.
thanks for this. What is not clear to me is how the F/2 force in each branch of the string acts to negate the F force on the pulley. At the "bend" of the string, wouldn't the forces there just be F/2 in 2 opposite directions, both of which are perpendicular to the direction of F on the pulley? How does the pulley experience the opposing force of F?
 
Perhaps because I'm lazy, but I just imagine a "box" around the pulley with the two strings pulling one way and the force F pulling the other way. That way I can avoid worrying about the details of the interaction between the pulley and the string as it goes around the bend. (Note that there will be "normal" forces acting on the string as it bends around the pulley.)
 
  • Like
Likes   Reactions: phantomvommand
Summation of forces and moments about the axis of that pulley are both zero, as the thing is not rotating or falling apart.

In order to be a balance of x-axis forces acting on the pulley, T1+T2=F.
For ideal conditions of no mass and no friction in the axis of the pulley, T1=T2.
 

Similar threads

  • · Replies 27 ·
Replies
27
Views
3K
  • · Replies 18 ·
Replies
18
Views
4K
  • · Replies 12 ·
Replies
12
Views
1K
Replies
2
Views
1K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 10 ·
Replies
10
Views
5K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 22 ·
Replies
22
Views
1K
  • · Replies 19 ·
Replies
19
Views
2K