Two solid disks, which are free to rotate independently about the same axis that passes through their

centers and perpendicular to their faces, are initially at rest. The two disks have the same mass, but one has a

radius R and the other has a radius $2$R$.$ A force of magnitude F is applied to the edge of the larger radius disk

and it begins rotating. What force must be applied to the edge of the smaller disk so that the angular acceleration

is the same as that for the larger disk? Express your answer in terms of the force F applied to the larger disk.