How Do Tension Forces Affect Equilibrium on a Frictionless Surface?

AI Thread Summary
When an object is dragged across a frictionless surface, tension forces can create a net force in the direction of the pull. If the object moves at a constant velocity, the forces acting on it must be balanced, meaning that any tension force must be countered by an equal and opposite force. However, on a frictionless surface, there is no opposing force, so the net force equals the tension force, leading to acceleration if the velocity is not constant. In a free body diagram, only the tension force vector would be drawn in the direction of the pull, as the equal and opposite force from the object on the string does not need to be represented. Understanding these dynamics clarifies how tension affects equilibrium in such scenarios.
halpmeplz
Messages
3
Reaction score
0
I know that if an object is moving at a constant velocity on a frictionless surface, the forces are balanced (add to 0). The only force vectors you would have are Fg and Fn going down/up.

But what if an object is being dragged across a frictionless surface with a string; wouldn't there be a tension force going left or right? So if you add that tension force, I don't see how the forces in the x-direction can be balanced... because shouldn't there be a force going the opposite way so the forces still add to 0? In a free body diagram, I don't see how there could be a force going opposite the tension force, because there is no friction... so how are the forces still balanced?
Thank you!
 
Physics news on Phys.org
If there's no forces acting against the force of the tension force (and it is the only X force,) then what is the net force in the X direction?

The forces don't necessarily have to add to zero on the same object (if they don't, then the net force will cause acceleration on your object instead of allowing its velocity to stay constant.) Although there is technically an equal magnitude of pulling force on the string in the direction of the object.

Does that help to answer your question? :)
 
Last edited:
I think I understand... but I'm only looking at it as if velocity stays constant... in a force diagram, would I draw a force vector going left if I have the tension vector going right? (you said there is a pulling force on the string in the direction of the object)... or would I just have the tension force vector?

edit; I assume the net force would be equal to the tension force...?
 
On that one object, you would just have the tension vector.

You don't need to worry about the equal force of the object on the string. ;)
 
Ok... thanks so much!
 
No problem!
If you feel that I was unclear on anything or need further clarification, just PM me.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top