No, the particle doesn't roll, its just a point particle on the
surface of a spinning sphere, but none the less, using conservation of
angular momentum did the job. I thought of using this
initially, but I got a little bit scared because when the particle
moves down the sphere, I thought it would cause a change in the direction
of w (angular velocity), but upon further thought, this was not the case.
To make a long story short, I only had to integrate something that
looks like
Int dt / (2M + 5m cos^2[theta]), which after the use of the half angle
formula, the integral becomes integrable.
Thanks Old Man!
PS. Could I also use conservation of energy here? I see no reason
(apart from unsolvable integral) why it wouldn't also work...
.
|
