Consider a rigid body with principal moments of inertia I1, I2, and I3 rotating around its center of mass without any external torques. According to Euler's dynamical equations, what can be said about the motion of the body when I1 = I2 < I3?
1
The rotation around the axis with moment of inertia I3 is always stable regardless of other conditions.
2
The body will experience chaotic rotation due to the equality of I1 and I2.
3
The body can exhibit stable rotation around the axis corresponding to I3 but may show instability or complex dynamics around axes corresponding to I1 and I2.
4
Euler's equations do not apply as there are no external torques to influence the motion.
5
Question Not Attempted