Find the differential equation and velocity

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Homework Help Overview

The discussion revolves around finding a differential equation and determining velocity in a physics context, specifically related to energy concepts. Participants are exploring the relationship between potential energy and kinetic energy in their analysis.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to verify their equations and seeks confirmation on their approach to finding velocity using kinetic energy. Some participants question the interpretation of terms, such as the translation of "R" from circumference to radius.

Discussion Status

Participants have provided supportive feedback on the original poster's analysis, indicating that the work appears correct. There is an ongoing exploration of the concepts involved, with no explicit consensus reached on the final approach.

Contextual Notes

There is mention of potential confusion regarding terminology and the translation of physics concepts into mathematical expressions, which may impact the clarity of the problem setup.

Alexiy
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Homework Statement


probs_Untitled.jpg


Homework Equations


3. The Attempt at a Solution [/B]
rijes_Untitled.jpg
Hello guys,I posted images since its easier to write equations.Please can someone help me check this, if this is correct so far, then i should be able to find the velocity at C, using kinetic energy?
 
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Looks good to me.
 
Chestermiller said:
Looks good to me.
velocity_Untitled.jpg


Edit: Work done from A to C is the difference of the potential energy between these two points, am i wrong?
 
Last edited:
By the way in the problems text i translated R as circumference, but its actually a radius R.
 
In my judgment, you did all this correctly. I think you should have more confidence in your ability. Your analysis was very nice, perceptive, and mathematically talented.

Chet
 
Chestermiller said:
In my judgment, you did all this correctly. I think you should have more confidence in your ability. Your analysis was very nice, perceptive, and mathematically talented.

Chet
Thank you very much Chet, I can't help it,I always had some difficulties to translate "physics thoughts" into math language so maybe I am overly cautious, sometimes i even waste time writing code for motion simulations to make sure something behaves like its supposed to, but it seems I'm getting the hang of it.Thanks again for your support.
 

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