Orbit Constraint of A Small Bead on A Rotating Large Circular Hoop in A Horizontal Plane

We study the orbit constraint of a small bead on a rotating large circular hoop in a horizontal plane about an axis passing through a point on the circumference. Firstly, the oscillation of the bead on the smooth rotating hoop is studied. Secondly, the influence mechanism of friction coefficient on angular velocity, constraint force and work of the bead on the rotating hoop is studied. The calculation results are consistent with the kinetic energy theorem. Finally, the influence mechanism of initial angular velocity on the kinematics of the bead on the hoop is studied.