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Results tagged with homework-and-exercises
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user 73067
Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.
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Ballentine's proof of (one half of) Stone's theorem
Reading Ballentine's "Quantum Mechanics; A Modern Development" I got stuck on his really short proof of what I think is Stone's theorem. On page 65 (paperback, reprint of 2008) he writes about about a …
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Gravitational potential inside a long but finite cylinder
Suppose a cylinder of length $\ell$, radius $R$ with a bore hole through its long axis of radius $r$. How can the gravitational potential (not the gravitational field) inside the cylinder be derived.
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Gravitational potential inside a long but finite cylinder
First I was afraid that I would not find solutions to the integrals but sagemath.org came to the rescue, so here is my humble attempt. (Sorry for the ugly artwork.)
Let the cylinder have length $L$ …
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Infinite plane gravity: what is "mass density per unit area"?
Recently I learned that the gravity of an infinity plane is independent of the distance from that plane. In fact it is
$$g = 2\pi G \sigma$$
where $\sigma$ is "the mass density of the plane per unit …
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