The cylinder C is raised by the hoist motor at A. The pinion of the motor drives gear B which is attached to the hoisting drum D and rotates on the same shaft. The motor accelerates from rest with a constant angular acceleration A=2.0 rad/s. (a) Determine the time required to raise the load C 1.8 metres. What are the angular velocities of pinion A and gear B at this time and the magnitude of the acceleration of point P' on the hoisting drum D? (b) The motor is turned off once the load C has been raised 1.8 metres and the pinion decelerates according to A=-1.8t-1/2 Determine the time required for the system to come to rest and the number of revolutions pinion A rotates while decelerating. 75 mm B A P 225 mm 125 mm