Finding Tension in a Vertical Circle: A 2.0-kg Ball on a Pivot

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To find the tension in the rod when the ball is at the bottom of its vertical circle, first determine the velocity of the ball using energy conservation principles, considering the height from which it falls. The radius of the circle is the length of the rod, which is 1.2 m. Apply the centripetal force equation, where the tension in the rod minus the weight of the ball equals the centripetal force required for circular motion. The relationship can be expressed as T - mg = mv^2/r. Understanding these concepts will help clarify the problem-solving process.
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Homework Statement


A 2.0-kg ball is attached to a light rod that is 1.2 m long. The other end of the rod is loosely pinned at a frictionless pivot. The rod is raised until it is inverted, with the ball above the pivot. The rod is released and the ball moves in a vertical circle. The tension in the rod as the ball moves through the bottom of the circle is closest to:


The Attempt at a Solution



This is one of my homework problems. I can't find an example even remotely close in my textbook. Could someone explain how to go about solving this type of problem please?
 
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have you learned circular motion?

if yes, find the velocity of the ball at the mean position, then finding centripetal force you can solve the problem.
 
Im confused don't I need to know the radius to solve for the velocity?
 
you know the length of the rod, so that's good enough.
 
Im still drawing a black. A little assistance with the first step?
 
do i set mv^2/r = to mg?
 
The normal acceleration to the curve is the tension in the rod.
 
Im still not quite getting this.
 
T-mg=mv^2/r

now do you get it?
 
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