Consider the yoyo above:
The yoyo is constructed from two heavy disks of radius R connected by a light axle of radius r , as shown in the figure below. The total mass of the yoyo is M and its moment of inertia for rotations around the axle can be taken to be $$\frac12MR^2$$
as it is spinning and rotating and travelling downwards i am aware that the total kinetic energy is as follows:
$$\frac12 Iw^2 +\frac12mv^2$$
is the v term wR or wr?