Re: Fun problem



This is the kind of problem I like, it is overly
especulative/hypothetical
/idealized, so the solution must belong to the same kind. But, wait a
minute!,
what about the mass of that point particle?, what about the
gravitational
potential if any?.

- If we assume there exist a non null gravitational potential there,
then
1. if the point particle is endowed with a non zero mass value,
then it will fall passing through the plane table, as friction
is ignored,
and it will never reach the hole boundary at any non zero
initial velocity.
2. if the point particle is massless, then given any non zero
velocity,
it will fly over the hole boundaries without falling into it.

- If we assume there exist a null gravitational field, apply the above
2. solution point,
because the point particle can be regarded, in this case, as
massless.

.



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