# Degrees of freedom

1. Jul 6, 2015

### chimay

Hi,

in my previous course on basic Physics we learned to solve problems concerning simple mechanical systems like this:

The method consists in analyzing separately the two degrees of freedom of the system, computing for each degree the acceleration of each body (or whathever) and the sum both of them to obtain the overall result.
Can someone tell me where I can find information about this approach? What does assure me that the sum of the quantities give me the correct result? I would like to understand in detail where the theorical backgroud lies.

Thank you.

2. Jul 6, 2015

### Shreyas Samudra

PHYSICS
halliday resnick krane vol 1

3. Jul 6, 2015

### Shreyas Samudra

you need to understand rotational dynamics for this and also constraint equations

4. Jul 6, 2015

5. Jul 6, 2015

### gsal

Halliday, Resnik? Boy, that brings memories from several decades ago...but not enough to know what the OP is talking about...

...then again, simply from the "degrees of freedom" point of view, the reason why you can combine the results is precisely because these two quantities are independent from each other...otherwise, they wouldn't be degrees of freedom...it is like solving for the x position AND the y position of an object and combining the two quantities to know exactly where the object is in space.

Does this help?

keywords: degrees of freedom, state variables.

6. Jul 8, 2015

### chimay

Where can I find quite a detailed discussion about these topics?
I am looking for a general approach of this kind and its mathematical formulation.

Thank you a lot

7. Jul 11, 2015

### Joe Ciancimino

Would it be that you are looking for the term, "Applied Science", the application of formulas for specific uses found in engineering.

Applied Science
https://en.wikipedia.org/wiki/Applied_science