1982M3. A system consists of two small disks, of masses m and 2 m , attached to a rod of negligible mass of length 3l as shown above. The rod is free to turn about a vertical axis through point P . The two disks rest on a rough horizontal surface; the coefficient of friction between the disks and the surface is μ. At time t=0, the rod has an initial counterclockwise angular velocity ωo about P . The system is gradually brought to rest by friction. Develop expressions for the following quantities in terms of μm,l,g, and ωo
a. The initial angular momentum of the system about the axis through P
b. The frictional torque acting on the system about the axis through P
c. The time T at which the system will come to rest.