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

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Homework Help Overview

The problem involves a 2.0-kg ball attached to a light rod, which is pivoted and moves in a vertical circle after being released from an inverted position. The focus is on determining the tension in the rod at the bottom of the circle.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to understand circular motion and the relationship between velocity and centripetal force. Questions arise about the radius and its relevance to the problem, as well as the initial steps needed to approach the solution.

Discussion Status

Some participants have offered guidance on finding the velocity and applying centripetal force concepts. There is an ongoing exploration of the relationships between tension, gravitational force, and acceleration. Multiple interpretations of the problem are being considered, with no explicit consensus reached yet.

Contextual Notes

Participants note the length of the rod as the radius for calculations, and there is uncertainty regarding the initial steps and the application of formulas related to circular motion.

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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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