Figure 8
From: Orbit constraint of a small bead on a rotating large circular hoop in a horizontal plane
The relationship between \(\omega\) and \(\theta\) at different initial angular velocities when friction coefficient \(\mu =0.06\). When \(\omega _0=12\) and 18, the bead rotates 2 and 3 laps around the hoop respectively. When \(\omega _0=6\) and 9 the bead rotates one lap on the hoop and then stops at \(O^{'}\) point. When \(\omega _0=3\), the bead oscillates only near the equilibrium position and then stops at point \(O^{'}\). When \(\omega _0=15\), the bead rotates 2.5 laps around the hoop and then stops at the origin O.
