The projectile shown is subjected to torque free motion The transverse and axial moments of inertia are I and I z , respectively If represents the angle between the precessional axis Z and the axis of symmetry z, and is the angle between the angular velocity and the z axis, show that and are relate...

The projectile shown is subjected to torque-free motion. The transverse and axial moments of inertia are I

Question:

The projectile shown is subjected to torque-free motion. The transverse and axial moments of inertia are I and I_z, respectively. If θ represents the angle between the precessional axis Z and the axis of symmetry z, and β is the angle between the angular velocity ω and the z axis, show that β and θ are related by the equation tan θ = (I/I_z) tan β.