I'm having a few problems with understanding how to calculate tension in a loop.
If I have a circular loop, and some force is applied uniformly radially outwards in such a way that the force acting on each element of the string is normal to the string at that point, then how will the string develop a tension?
My intuition tells me that some force must act by the string to prevent the string from expanding infinitely. However, how can the string apply such a force, when its only means is tension which acts perpendicular to the force always?
Any answers will be appreciated.
I suppose that this is analogous to asking why pumping air into a soap bubble will make it expand a certain amount (until the external pressure is equivalent to the excess internal pressure).
So, I can simply take the semi-circular half and apply Newton's Laws?
So $2 T = F $
Therefore, tension developed $= \frac F2$
Just want to clarify that by F I mean the total horizontal Force acting on the semicircle, not just the central element.
Is this correct? Just want to verify if I understood the concept.