Centripetal force and total force?

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Homework Help Overview

The discussion revolves around a physics problem involving centripetal force and total force in the context of a child on a swing. The problem specifies a mass, radius, and speed, prompting questions about the forces acting on the child at the lowest point of the swing.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the centripetal force using the provided equations but expresses uncertainty about the meaning of "total force." Participants suggest drawing a free body diagram and clarify that "total force" may refer to the tension in the rope at the lowest point of the swing.

Discussion Status

Participants are exploring the definitions and implications of the terms used in the problem. Some guidance has been offered regarding the interpretation of "total force," and there is an ongoing clarification about the relationship between centripetal force and tension in the rope.

Contextual Notes

There is some confusion regarding the terminology used in the problem, particularly the term "total force," which some participants feel may imply a different concept than intended.

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Homework Statement


A 25 kg child is on a swing, which has a radius of 2.00 m. If the child is moving 4.0 m/s at the bottom of one swing, what is the centripetal force exerted by the ropes of the swing on the child? What is the total force exerted by the ropes when the swing is at its lowest point?

Homework Equations


a = v^2/r

F = mv^2/r

The Attempt at a Solution



I have no problem with the first part of the question. You just use F = mv^2/r to figure out the centripetal force. However, I am not sure how to get the "total force." I know which way the tension is directed and everything. I'm just not really sure what total force is referring to. Any help would be greatly appreciated.

Thanks.
 
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Draw the free body diagram. What is causing the centripetal force?

Everything is easier because the problem asks you about the lowest point, so forces either point up or down.
 
The word "total" isn't necessary in that question. You can just as well think of it as "What is the force exerted by the ropes when the swing is at its lowest point?"
 
edit: nvm
 
So what it is asking for is basically the tension in the rope? If so, that is easy.

Fc = Ft - Fg

Solve for Ft.

The word "total" was throwing me off. I was convinced it meant Net force or something.
 

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