MM A spool is hanging by a string. We can model the spool as three connected disks: in the center, the string is wound around a narrow central disk, and two larger disks are on either side. The masses of the larger disks are 44 g each and their radii are 3.2 cm. The disk in the middle has a mass of 22 g and a radius of 1.6 cm. Let's assume the spool starts from rest and then is allowed to fall. a) What is the weight of the spool? Include units with your answer. L b) What is the rotational inertia of the spool? Include appropriate 51 units with your answer (:3 Find the tension in the string; express your answer with units. Hints: you can describe the rotational forces symbolically, starting with the torque on the spool due to the string. Then you can think about the translational forces in the vertical direction. As in prior problems, nd the net force in the vertical direction, being careful with signs. Finally, relate angular and tangential acceleration. You'll end up with three unknowns and three equations; eliminate two unknowns and solve for the tension. :1 d) If the spool falls 0.52 m, how long did it take to fall this far? Include units with your answer. L e) If the spool were in freefall, how many times faster would the spool fall 0.52 m? l