Main Question or Discussion Point
I'm trying to think about gyroscope precession in terms of energy, and I'm a little confused. If you hold the spinning gyroscope at some tilt so that it doesn't precess, it will have energy associated with it's rotation. When you let it go, it will now have additional energy due to the precession. What accounts for this additional energy? I understand that the gyroscope being tilted will experience a torque due to gravity and this causes a change in angular momentum so that it precesses. Although, if the gyroscope precesses about the z-axis, it will have experienced a change in angular momentum along this axis even though there was no torque in this direction. Unless, we're saying gravity indirectly causes a torque in this direction, so we would say that gravity accounts for the increase in energy. However, in addition to that, it's angular velocity doesn't continue to increase therefore it's energy doesn't continue to increase. But if gravity is the source of energy why did it's energy increase initially, then stop increasing?