Solving String Tension for Weighted Rings

AI Thread Summary
The discussion revolves around solving for the tension in a string with a ring and weight attached, first in a static scenario and then under an applied horizontal force. Participants suggest drawing a diagram to visualize the forces acting on the ring at equilibrium, emphasizing the importance of analyzing force vectors. The complexity of the problem is acknowledged, with a focus on writing equations for both X and Y forces to find the solution. The need for clarity in understanding the mechanics of the system is highlighted. Overall, the conversation centers on applying fundamental physics principles to determine the tension in the string under different conditions.
kilianod
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Homework Statement



2.(i) A light inextensible string of length 5a is secured with its ends a horizontal distance 2a apart. A small smooth ring is free slide on the string and a weight w is attached to the ring. Determine the tension in the string.

(ii)A horizontal force of magnitude w is now applied to the ring. The system adjustes to become in equilibrium onc more. Determine he tension in the string.



2. The attempt at a solution
Ive tried this a few times, but it seems to get way too complicated. Any help would be appreciated!
 
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kilianod said:

Homework Statement



2.(i) A light inextensible string of length 5a is secured with its ends a horizontal distance 2a apart. A small smooth ring is free slide on the string and a weight w is attached to the ring. Determine the tension in the string.

(ii)A horizontal force of magnitude w is now applied to the ring. The system adjustes to become in equilibrium onc more. Determine he tension in the string.



2. The attempt at a solution
Ive tried this a few times, but it seems to get way too complicated. Any help would be appreciated!

Maybe you could draw a diagram of what this ring would look like at equilibrium. Since nothing would be in motion wouldn't it simply be a matter of looking at the force vectors that would hold the ring in position?

Similarly for part 2. Just add in your extra force vector to the drawing and write the equations for X and Y forces yes?
 
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