All Questions
5
questions
0
votes
2
answers
99
views
What kind of curve does $a*(x+y) = x*y$ form?
If $a$ is a constant, what is the name of a curve of the form $a*(x+y) = x*y$? And how is this equation related to more this curve's more general equations/characteristics? Plotting this curve, I ...
3
votes
0
answers
57
views
Approximating the intersection of a line and the iPhone X screen as well as its normals
I am creating a simulation where little, fast moving, particles need to intersect with the edges of the iPhone X screen.
Previously I have had no difficulty with my collisions. The particles have ...
3
votes
2
answers
596
views
Ball rolling along a see-saw
Suppose we have a see-saw which is 2 metres long, whose mid-point is connected to a fulcrum which is 0.5 metres tall. The see-saw has a mass of 1kg, and has uniform thickness and density. The see-saw ...
1
vote
1
answer
52
views
Analytical calculation of a reflected light ray in glass fibre
I am trying to analytically calculate the propagation of a light ray in a glass fiber. While the physics of it is clear to me, I am not sure how describe arbitrary geometries of the fiber and then ...
3
votes
0
answers
1k
views
What's so special about involute curves??
An involute curve (specifically, an involute of a circle) is very commonly used to define the shape of the teeth on a gear. Apparently this idea goes back to Euler.
Why is this? What special ...