1)i have this problem, we have a toy gyroscope, which its pricnipal moments of inertia are known, spins around its axis of symmetry with angular velocity w, and it's tilt with angle a from the vertical on a smooth table (i.e frictionless table). i need to find the precession frequency? im given a hint that i need to think about what has changed from the typical gyroscope problem. i dont see what has changed here. 2) i have another question, i need to find the velocity of precession without any appriximation of the gyroscope, i need to find what is the condition for the precession. in class we made the approximation theat the angular velocity around the body axis is much more bigger than the velocity of precession, and we have neglected the angluar momentum that is gained by the precession. so how would i calculate it, obviously the gain by the precession i should divide it to tangential and parallel components, but im not sure what is L_p the angular momentum of the precession. your help is appreciated.