(Solved): 5 0/1 point A 14.0 kg mass is attached to a light string strung across a pulley having a mass 18.4 k ...

5 0/1 point A 14.0 kg mass is attached to a light string strung across a pulley having a mass 18.4 kg and radius 5.2 cm . The other end of the string is attached to a 38.9 kg mass (this is an Atwood machine). The 14.0 kg mass is attached to the pulley at an inner radius of 2.2 cm , while the 38.9 kg mass is attached at 5.2 cm . How far will the 38.9 kg mass descend when the 14.0 kg has ascended 3.5 cm ? Note that the moment of inertia of a disc is given by

(please provide your answer in cm to 1 decimal place)