The uniform 4-kg cylinder A, of radius r = 150 mm, has an angular velocity 0 =

The uniform 4-kg cylinder A, of radius r = 150 mm, has an angular velocity ω0 = 50 rad/s when it is brought into contact with an identical cylinder B which is at rest. The coefficient of kinetic friction at the contact point D is μk. After a period of slipping, the cylinders attain constant angular velocities of equal magnitude and opposite direction at the same time. Knowing that cylinder A executes three revolutions before it attains a constant angular velocity and cylinder B executes one revolution before it attains a constant angular velocity, determine

(a) The final angular velocity of each cylinder,

(b) The coefficient of kinetic friction μk.

Transcribed Image Text:

D B a