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Mathematics of classical mechanics, including Hamiltonian mechanics, Lagrangian mechanics, applications of symplectic geometry to mechanics, deterministic chaos, resonance etc.

16 votes
Accepted

Is there a sideways-walking rolling convex body?

The answer is yes, and you can play with them at MoMath. Specifically, the Twist and Roll exhibit has several convex shapes, which will roll arbitrarily far sideways when started at an angle that is n …
Joel David Hamkins's user avatar
5 votes

To what extent does trajectory determine gravity sources?

For a bounded trajectory, then one can imagine placing the entire region inside a uniform spherical shell, which has no net gravitational effect on what happens inside (see wikipedia, also hyperphysic …
Joel David Hamkins's user avatar
4 votes

The rain hull and the rain ridge

Since you've explicitly welcomed half-baked ideas... Regarding question 1, can't we just simulate the rain in polynomial time? I am thinking of the same-connected-component problem in graph theory. …
Joel David Hamkins's user avatar
11 votes

Does there exist a shot in ideal pocket billiards?

This isn't the answer you seek, but let me observe merely that if you allow extra balls and if the table width is an integer number of balls in each direction, then we may imagine a cross pattern with …
Joel David Hamkins's user avatar