Consider the following mapping from Cartesian coordinates to spherical coordinates:
In this coordinate system, is the angle in the plane with respect to the axis. is the angle with respect to the axis.
Consider a uniform rigid rod of mass and length , with one end hinged at the origin, and the other end free to move. The hinge permits any combination of , subject to the natural constraints on each parameter.
The kinetic energy of the rod can be expressed as follows:
Given that is a positive real number, what is its value?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.