Recent content by Beelzedad

Thanks, I get it... A little more help is needed if you can... Can you help to decipher that weird equation ##3## on page 153.

We can know the path (circle) by just looking. We can also know what ##\theta## is at a certain time, again by looking. I have no idea of how to know angular velocity or acceleration by only looking at it.

Ok, then how shall we know the angular acceleration (in my question) is directly proportional to the angle (##\theta##)

If the body had experienced a centripetal acceleration.

So how did Coulomb ensure that motion was SHM? Like for your RSVP. But, I also request you to not go away from this discussion before a conclusion is reached.

I am reading "Coulomb and the evolution of physics and engineering in eighteenth-century France". There it is said in page 152 para 1 that "Coulomb found that within a very wide range, the torsion device oscillated in SHM". My questions are: (1) By just looking at the time period of the...

Hi guys! Sorry for the late response. I was in a chat with another guy from another website. This is how my current understanding is regarding my question: If we change ##\mathbf{r} ∈ S## from a point ##\mathbf{r}_1 ∈ S## to another point ##\mathbf{r}_2 ∈ S##, the origin of our primed...

I think equation (2) as a whole is not iterated integral. The volume integral can be found by iterated integrals. We have to find the volume integral for all points ##\mathbf{r} \in S## and then do the surface integral (I don't know how, maybe by numerical integration). If this is what is...

I think I ran into another problem now. Please have a look at my equation labeling of post #1. In equation (2), while computing the volume integral in spherical coordinates (here ##\mathbf{r'}## varies and ##\mathbf{r}## is constant), we take the origin of our spherical coordinate at point...

(1) I don't think I did something which is mathematically illegal. Am I correct? (2) I am not talking about a particular volume and surface. The volume could be any volume and the surface could be any surface (provided that the whole surface is contained within the volume). Thus the limits are...

While computing the surface integral in my first equation, each point ##\in S## are origins. (There are infinitely many origins and infinitely many transformations from Cartesian to spherical). But in my last integral there must only be one spherical coordinate system. This is the problem.

Consider a continuous charge distribution in volume ##V'##. Draw a closed surface ##S## inside the volume ##V'##. ___________________________________________________________________________ Consider the following multiple integral: ##\displaystyle B= \iint_S \Biggl( \iiint_{V'}...

I really apologize for not being able to mention it. It seemed to me to be too obvious for you. Let ##U'## denote the volume enclosed by surface ##S##. Then: ##\displaystyle \iiint_{U'} \rho' dU' = m_s \tag1## For field point inside ##S##: ##\displaystyle \iint_S...

Consider a continuous charge distribution in volume ##V'##. Draw a closed surface ##S## inside the volume ##V'##. Consider the following multiple integral: ##\displaystyle A=\iiint_{V'} \left[ \iint_S \dfrac{\cos(\hat{R},\hat{n})}{R^2} dS \right] \rho'\ dV' =4 \pi\ m_s## where...