Finding Angular Momentum Along x-Axis for t given z(0) = 0, ˙z(0)=0

[MyoPhilosopher]

Homework Statement

Finding the angular momentum along an axis given the eqs of motion

Relevant Equations

$${\ddot{z} = \frac{g}{1+(\frac{4R}{s})^2}}$$
with s being the distance along z axis after a revolution

given z(0) = 0 as well as

˙z(0)=0​

How would one find the angular momentum along the x-axis in terms of t.
Currently, I have formulated the following:

​

$${\ddot{z} = \frac{g}{1+(\frac{4R}{s})^2}}$$

 

[BvU]

Seems like this is part of a more complete problem. State that.

Currently, I have formulated the following:
$$\ddot{z} = \frac{g}{1+(\frac{2\pi R}{k})^2}$$

Currently you have $z(t)=0$.

And a { too many in your $\TeX$

 

[MyoPhilosopher]

Seems like this is part of a more complete problem. State that.

Currently you have $z(t)=0$.

And a { too many in your $\TeX$

Thanks for clearing that up I was trying to understand the Latex code -

 

[BvU]

Currently you have z(t)=0z(t)=0. [edit] no, $a\,t^2$

And enclose $\LaTeX$ in double $$ or (## for in-line )

 

[MyoPhilosopher]

Thanks for the help I hope it is now readable.
My question is how do I formulate the angular momentum from the world of the x-axis as a function of time.

 

[BvU]

Maybe you missed this:

Seems like this is part of a more complete problem. State that.

It means: please provide a complete problem statement.

From the PF guidelines:

Reproduce the problem statement accurately.
Type the problem statement exactly as worded. If you're only asking about one part of a long problem it may not be necessary to type up the entire problem, but you need to ensure you've provided the proper context for the sub-problem. If you paraphrase or summarize, make sure you're not changing the meaning or omitting important information. It's very frustrating trying to help with a problem only to discover that critical information is missing.

No idea why you have a picture with x,y,z, formulas with z only.
No idea about R, s (k?, $\lambda$?),

My question is how do I formulate the angular momentum from the world of the x-axis as a function of time

I don't think the world of the x-axis has angular momentum. Usually $\vec L = \vec r \times \vec p$ .

 

[MyoPhilosopher]

Maybe you missed this:

It means: please provide a complete problem statement.

From the PF guidelines:

No idea why you have a picture with x,y,z, formulas with z only.
No idea about R, s (k?, $\lambda$?),I don't think the world of the x-axis has angular momentum. Usually $\vec L = \vec r \times \vec p$ .

Yep sorry I was trying to understand an issue rather than a paper problem. It was an error in my thinking I realize now. Please feel free to remove this q I don't seem able to.