A yo$-$yo is constructed of three disk: two outer disks of mass M$,$ radius R$,$ and thickness d$,$ and an ineer disk $($around which the string is wrapped$)$ of mass m$,$ radius r$,$ and thickness d$.$ The yo$-$yo is suspended from the ceiling and then relased with the string vertical. Calculate the tension in the string as the yo$-$yo falls. Note that when the center of the yo$-$yo moves down a distance y$,$ the yo$-$yo turns through an angle y$/$r$,$ which in turn means the the angular speed omega is equal to the velocity of the center of mass divided by r$.$ The moment of inertia of a uniform disk is $0\mathrm{.}5$MR$^2.$ Use the following as necessary: M$,$R$,$d$,$m$,$r$,$ and g for the acceleration due to gravity.