T.R | Title | User | Personal Name | Date | Lines |
---|
1752.1 | | AUSSIE::GARSON | nouveau pauvre | Sun May 23 1993 04:40 | 3 |
| re .0
Sounds like you need some PHYSICS to answer this.
|
1752.2 | Differential equation | IOSG::CARLIN | Dick Carlin IOSG, Reading, England | Sun May 23 1993 08:00 | 10 |
| Derek, you're right, it is physics. But I soon got to the point where
the angle swept by the body satisfies the differential equation (wrt
time):
y'' = c * sin(y) y(0) = 0, y'(0) = 0
which I suppose is still physics though. Differential equations are so
messy, give me number theory any day.
Dick
|
1752.3 | 2nd try | IOSG::CARLIN | Dick Carlin IOSG, Reading, England | Mon May 24 1993 09:19 | 42 |
1752.4 | | CSC32::D_DERAMO | Dan D'Eramo, Customer Support Center | Mon May 24 1993 19:22 | 9 |
| Computing y(t) is neat. If the object starts at the top of
the hemisphere with 0 kinetic energy, then it stays there
forever. If instead it starts at cos(y) = 2/3 with the exact
amount of kinetic energy directed upwards to get back to the
top with 0 kinetic energy left, then it takes forever to
actually get to the top, although it does approach arbitrarily
closely (going more and more slowly) as t -> oo.
Dan
|