What is the tension in the string at the bottom of the swing?

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Homework Help Overview

The discussion revolves around a pendulum problem involving tension in the string at the bottom of the swing. The pendulum has a specified length and mass, and the speed of the bob at the lowest point is provided. Participants are exploring the dynamics of the pendulum's motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • One participant attempts to apply Newton's second law to find the tension, while another questions the assumption of zero acceleration at the bottom of the swing. A third participant suggests a formula related to tension but expresses uncertainty about its derivation.

Discussion Status

The discussion is active, with participants offering hints and questioning assumptions. There is recognition of the complexity of the motion involved, specifically nonuniform circular motion, but no consensus has been reached on the correct approach or solution.

Contextual Notes

Participants are navigating through the constraints of the problem, including the need to understand the dynamics of circular motion and the implications of the given parameters. There is a mention of a formula from a physics book, indicating reliance on provided resources.

lbutscha
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A pendulum is 0.6 m long and the bob has a mass of 1.0 kg. At the bottom of its swing, the bob's speed is 1.9 m/s. What is the tension in the string at the bottom of the swing?



The attempt at a solution
I did Newtons second law F=ma. So I tried:

The sum of all forces=ma
T-W=ma
T=ma+w

I figured the acceleration would be zero when it is at the bottom of the swing. I have tried many different answers and can't seem to come up with the right one. Please help!
 
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The acceleration is not zero at the bottom of the swing. Hint: What kind of motion does the bob undergo?
 
I am not exactly sure, but you might be able to use the equation v = sqrt(Forcetension/(m/L)).

I don't know how you derive this formula, but this is one of the formulas they give in my physics book (im actually doing the same thing right now in my class), so this should be what your looking for.

The acceleration would be zero only when the velocity is at it's max (I think).

Hope that helps.
 
I know it is nonuniform circular motion. But I still don't get it.
 

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