Thread 16760236

Here's a fun geometry problem for you. Think you can handle it?

The disks are sliding along a path defined by the top and bottom walls, they transition from a double file to a single file. What's the equation f(x) for the curve such that α stays constant but β is allowed to change.

Lol im not not designing gun magazine for you.

>>16760236 (OP)
interesting

>>16760236 (OP)
>Think you can handle it?
I could maybe solve it.
But I have better things to do.
>>16760258
>[I']m not [...] designing [a] gun magazine for you.
Meen either!

>>16760236 (OP)
Maybe with parametric equations I could solve it?

>>16760236 (OP)
is the perpendicular direction -1/ f' or can the circle touch at two points leading to something fun like a chord slope or subgradient?

>>16760236 (OP)
Make a Y shape such that the disks are split into two single files. Alpha can be a constant 90 degrees
>>16760258
If they are making a parts feeder, they are approaching the problem the wrong way

>>16767765
What's the correct way then?

>>16767718
probably

>>16760258
what advantage should the angle between two contact points being constant have for a magazine, or any application? it's obviously just a mental game.

>>16760236 (OP)
even without the alpha/beta restriction i don't think this is possible without jamming, no matter the shape of f(x). with the flow in the other direction it would probably work

>>16770032
>Advantage
No advantage. It is not a convincing heuristic. OP is incapable of making any bodies life easier by doing a breadth search and im not answering that depths search on a unconvincing dead end. The odds of alpha beta angle transition from 30 30 to 90 90 by having a smooth transition yet fixing one of the angle for no reason. This is the mental game I refuse to play.
Without restriction, given a very long neck, like 10 diameter long ramp it is relatively easy like most pistol magazine.

>>16760236 (OP)
>α defined by center to center and right angle to wall
>β defined by center to center and right angle to wall
Why the fuck are you stupid?

>>16770032
It's so
>obviously just
that,
that I still won't attempt it!

>>16760236 (OP)
Focus on variations :
alpha = 60°/2 = 30° = Pi/3 (equilateral triangle).
beta would vary from 90°/2 to 60°/2, or Pi/2 to Pi/3 (rectangle isosceles triangle).

The slop could be a simple (negative) cubic equation between :
0 0