Two disks are originally separated. The mass of Disk #1 is 1.5 kg, and the mass of disk #2
is 2.6 kg. Disk #1 has a radius of 10 cm, and it is rotating at an angular velocity of 15.0
rad/sec. Disk #2 has a radius of 15 cm, and it rotates in the opposite direction at an
angular velocity of 22.0 rad/sec. These two disks are then joined together such that there
is no slippage between them. That is their mutual rotational velocity in rad/sec?