Recent content by binarybob0001

Well, a community college isn't exactly the best way to learn multivariable calculus. That is why I'm reading this book. Are there any online references that can give me an intuitive understanding of what you are talking about. I still do not know what the radius of curvature is. Thanks.

I'm reading Advanced Calculus by Wilfred Kaplan 1952. He is demonstrating how to find the decomposition of the acceleration vector into its normal and tangential components. I'm following along until he replaces the magnitude of the derivative of the angle with respect to the distance traveled...

I suppose when I'm threw with my own studies I will write a tutorial.

Is this section of a cylinder rotating about its center of mass? Is the section shaped sort of like a piece of pie?

First off, thanks for the help. To get myself started on rotational motion, I looked at moments of inertia. I was finally able to proove that torque/(mr^2)would be equal to radial acceleration of a point mass. In other words, moments of inertia now make sense. What should I learn next? I did...

Hi, I'm not sure if this belongs here or in general physics. Moderators please feel free to move this post if it is not in the right place. I have been perusing the internet looking for information related to the gyroscopic effect without much avail. I have detailed knowledge of linear...

My notation may be wrong, but that is how we are treating this integral.

I'm not talking about the notation. I'm talking about what we actually did in the substitution process. Read my reply carefully.

Let us pretend that we already knew the equation for relativity was \int vd({{\gamma} mv}) Then, using the example krab showed us, we could replace v with ds/dt. Now, we have \int \frac{ds*d({\gamma} mv)}{dt} None of our variables cancle out like the previously shown problem, and that is...

Krab, what you just showed is the proper way to do substitution. Notice that there was a multiplication done (not really, but it looks that way). In the KE problem, there is no multiplication done. V is just sat down in the problem. See the difference? Substitution for integration is one thing...

All I am looking for is the reason why we can replace ds/dt with v. As I said before, there must be a mathematical premise for reducing varibles. If I knew were to start looking, I would be in the library right now, but I don't even have a name for this topic.

I know that ds/dt is v; however, in my math class I was taught that reducing variables in such a manner can lead to wrong results. How do you know that ds/dt create a linear function v? What formula would we use for ds/dt^2? Would we use a for acceleration or a = adf/dfa^(adf/dfaj)? If ds/dt^2...

Thanks, I figured out what I needed to do based what was said before. I wanted to know how I simulate a view of a rocket moving at near the speed of light. This would all depend on the way you were looking and how much forshortning the rocket had in its direction of velocity. Although I haven't...

I am now studying the Lorentz transformation which shares some commonality with the Galiliean transformation. What I'm confused about is how they only seem to transform the x axis. It will help if I write it out. The Galilean transformation looks like: x' = x-vt y' = y z' = z t' = t...

Wow, everything is starting to come together! I am very excited. I have learned my lesson. Forget everything my math class every told me about integration and just integrate. Physicists (not that I am complaining) do not necessarily fallow the strict rules of pure math. On the other hand, I am...