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1 vote
1 answer
210 views

Criterion to see if you can neglect air drag in projectile motion

In physics education you often consider "real world problems" with projectile motion. Most times in introductory courses you neglect air drag. But how can students (knowing nothing about ...
Julia's user avatar
  • 987
0 votes
0 answers
146 views

Physical interpretation of Dirichlet energy for a membrane.

In the following model of a membrane with a mass particle in it, why does the integral represents the elastic energy of the system? Let $\Omega$ be an open connected region (the membrane) in $\Re^2$, ...
Bruno Seefeld's user avatar
0 votes
1 answer
26 views

Can we solve the functions describing the bend of a cable at rest fixed at two positions?

Assume we have a cable which endpoints is attached to two points at $(x,h)$ and $(x+\Delta_x,h)$. Further assume it has some mass density distribution, $\rho(m),m \in [0,l]$ and is of some length $l ...
mathreadler's user avatar
  • 26.1k
9 votes
1 answer
132 views

How many times do you have go back and forth to get out of a deadlock?

Here's a challenging question for you math lovers. This question was originally asked in Physics SE but I was suggested to post it here.( You can see it here.) Many a times we have been inside a ...
user avatar
6 votes
1 answer
2k views

Applications of group theory to classical mechanics

Today, a friend and I solved a classical mechanics problem using group theory. The problem was the following: Around a circumference, there are $N$ children evenly spaced. In the center, there is a ...
Henrique Augusto Souza's user avatar
3 votes
1 answer
5k views

Applied Mathematics: Spherical Polar Coordinates and Newton's Second Law

I've been attempting this question but can't seem to find a solution. Question: A particle of mass $m$ moves under the influence of a force which, in spherical polar coordinates, only acts in the ...
Geometry's user avatar
  • 455