[Physics] Tension at topmost point of a vertical circle

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I read that for a body to move in a vertical circle, the minimum tension needed is 0 at the topmost point. Can someone explain to me what it means to have positive or negative tension on top. I'm not able to visualise it.

Best Answer

First you need to think what is tension. Tension is a strain that is created in the rope (or string) when a force tries to elongate the rope. It means if no force to elongate, then no tension.

Now taking the example you asked about. If there is a tension in the string at topmost point then it will revolve because that tension is the centripetal force which causes it to make the circular motion.

What if the tension is $0$ at the topmost point? No problem. The linear speed (which acts perpendicular to the centripetal force i.e. tension in this case) will keep it in motion. enter image description here

What is positive tension? It's the tension in the string that comes into play when, say, you try to elongate the rope.

What is negative tension? It's when you try to compress the rope. But wait, you can't do it because if you do it then it will bend but won't compress. So the tension in the string will be zero. You may get it in some numerical problems because it tells how much force we have applied till the tension became zero from positive.

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