[UPSC CSE 2025] Rigid Body Dynamics (Q173, 20M)

A body moves about a point ‘O’ under no force, the principal moments of inertia at ‘O’ being $3A$ , $5A$ and $6A$ . The components of the initial angular velocity about the principal axes are $\omega_1 = n$ , $\omega_2 = 0$ and $\omega_3 = n$ . Find the components $\omega_1$ , $\omega_2$ and $\omega_3$ for large values of time $t$ .