# Stress developed in a Hoop due to rotation

In the given question with constant angular velocity. It asks us to find longitudinal stress at each of the positions. Now I'm not even sure what longitudinal stress is but here is what I tried as A is the farthest it will have the highest Radius and hence highest centripetal force. Therefore component of tension should be the highest at A. But the answer is given is that it's minimum at A. Can someone tell me where am I going wrong?

• Exact duplicate: physics.stackexchange.com/questions/659283/…
– ACB
Aug 15, 2021 at 16:47
• I would guess that the longitudinal stress is the tension in the hoop which is tangential to the hoop at each point. Aug 15, 2021 at 17:05

For example at B and C, there is tension there, as a centripetal force is needed to make the half circle (green) between B and C rotate. You would need to integrate $$\delta m \times \omega^2r$$ for each mass element in the green section, where $$r$$ is the distance of the mass element from $$O$$.