Good resource for learning motion and rearranging formulas

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Discussion Overview

The discussion centers around resources for learning concepts related to motion, such as centripetal acceleration and momentum, as well as skills in rearranging and combining formulas. The context includes both theoretical understanding and practical application, with participants seeking recommendations for accessible materials.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses difficulty with centripetal acceleration and momentum, seeking resources for better understanding and formula manipulation.
  • Another participant suggests that the original poster clarify their educational level, indicating that different resources may be appropriate for high school versus college students.
  • A recommendation is made for Schaum's Outline as an introductory text, noted for its affordability and numerous worked examples.
  • Another participant proposes Khan Academy videos as a potential resource for basic formula manipulation, while cautioning against its use for higher-level mathematics.
  • A suggestion is made to use a calculus-based physics book, specifically Giancoli Physics for Scientists and Engineers, emphasizing the importance of understanding the derivations and connections between concepts rather than rote memorization.
  • One participant discusses the importance of conceptualizing laws and theorems as sets to better understand their interactions and implications, using centripetal acceleration as an example to illustrate their reasoning.
  • A link to a specific edition of Giancoli's book is provided, along with a note about the benefits of having the book split into parts for easier handling.

Areas of Agreement / Disagreement

Participants present multiple competing views on the best resources for learning, with no consensus reached on a single recommended approach or material.

Contextual Notes

Some participants emphasize the need for resources that match the original poster's educational level, indicating that recommendations may vary based on this factor. There is also a focus on understanding concepts deeply rather than merely applying formulas.

victorhugo
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My class is currently doing thing like centripetal acceleration, momentum etc. and I am not quite getting it.
We are also meant to know how to rearrange and combine formulas really well, but I have missed a lot of algebra on previous years so I only know the basics... Can someone please recommend me some links that explains these things? Thank you
 
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You need to tell us what level you are in? High school? College?

There are lots of texts for this. A really introductory one might be Schaums Outline. Cheap, lots of worked examples. And on many different subjects.

https://www.amazon.com/dp/0071821813/?tag=pfamazon01-20
 
DEvens said:
You need to tell us what level you are in? High school? College?

There are lots of texts for this. A really introductory one might be Schaums Outline. Cheap, lots of worked examples. And on many different subjects.

https://www.amazon.com/dp/0071821813/?tag=pfamazon01-20
I am entering my last year of high school... I was thinking of a website that i can access for free
 
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Perhaps some Khan Academy videos? For higher-level mathematical learning, I wouldn't recommend it, but for brushing up on the basics of formula manipulation, I'd definitely suggest it.
 
The best way to go about it, is to get a general calculus based physics book. I would recommended Giancoli Physics for Scientist and Engineers. An older edition can be purchased for five dollars shipped.

Read the sections and ask why. Then follow the derivations and replicate them.

In my opinion, I liked to think of these Laws/Theorems as sets. Ie mathematical sets to simplify what i mean about sets. How do these things behave and interact with each other. What is possible and not possible. Then apply analogies to simplify the process.

Ofcourse their are better mechanics books such as Keppler, but these books are not recommended for your ability currently.

For example Centripetal Acceleration. We all know that acceleration is defined as the change in velocity over the change in time.

We know that velocity and acceleration is a vector. Then ask what is a vector? It is an object having both magnitude and direction.

However, we assume velocity=0. But hey wouldn't 0 velocity= acceleration? Not quite, since the velocity vector is changing direction, then acceleration must exist.

Then you draw the diagram that is given in your book. and notice that acceleration can be thought of as the hypotenuse of the 2 components of velocity making up the legs.

then so on.

if you follow the derivation in your book, you will understand why velocity= 2pie*r*f

and radial acceleration= v^2/r.Momentum can be described along a similar manner using the analogy of a car traveling in a positive direction.You want to actually understand and not plug and chug. If you have tried to understand how things are connected then it would be easier to understand the bigger picture. Doesn't matter if you got it wrong, but that you used brain cells trying to understand it.

Don't become a plug and chug robot.
 

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