An otherwise ordinary pendulum of massmand lengthl, hangs from the perimeterof a wheel of radiusrthat is rotating at constant angular velocityω, as depicted infigure 1. as fair warning, this system is not simple and can display a surprisingly richrange of motion. for example, if the wheel is rotating very very slowly, perhaps youcan see that the pendulum behaves very much like a normal pendulum. if the wheelrotates very fast, perhaps you can imagine that the mass might simply fly aroundin a circular path. what happens if the frequency of wheel rotation is similar to theswinging frequency of the pendulum or matches harmonics of the pendulum frequency? perhaps later in the course we will consider some of these cases. for now, let’s simplytry to write the equations of motion for the system.