You are the technical consultant for an action-adventure film in which a stunt calls for the hero to drop off a 24.9 meter tall building and land on the ground safely at a final vertical speed of 3.81 meter per second. At the edge of the building's roof, there is a 131 kilogram, drum that is wound with a sufficiently long rope (of negligible mass), has a radius of 0.393 meter, and is free to rotate about its cylindrical axis with a moment of inertia I0. The script calls for the 59.5 kilogram stuntman to tie the rope around his waist and walk off the roof.
a) Find the required value of the stuntman acceleration if he is to land safely at a speed of 3.81 meter per second, and use this value to determine the moment of inertia of the drum about its axis.
b) Determine the angular acceleration of the drum?
c) Determine how many revolutions does the drum make during the fall?