(Solved): Problem 2: A motor pulls a cable through a pulley system to raise the weight. The system starts from ...

Problem 2: A motor pulls a cable through a pulley system to raise the weight. The system starts from rest. A point on the cable at \( A \) moves with constant acceleration. At \( t=2 \mathrm{~s} \), the velocity of \( A \) is \( 12 \mathrm{~mm} / \mathrm{s} \). (a) Determine the accelerations of the cable at \( A \) and pulley \( B \) at this time. (b) What is the speed of the weight at this time?