A pulley having a diameter of 80 mm and mass of 1.25 kg is supported loosely on a shaft ha...

A pulley having a diameter of 80 mm and mass of 1.25 kg is supported loosely on a shaft having a diameter of 20 mm. Determine the torque M that must be applied to the pulley to cause it to rotate with constant motion. The coefficient of kinetic friction between the shaft and pulley is μk = 0.4. Also calculate the angle 6 which the normal force at the point of contact makes with the horizontal. The shaft itself cannot rotate.