You are the technical consultant for an action-adventure film in which a stunt calls for the hero to drop off a 18-m-tall building and land on the ground safely at a final vertical speed of 5 m/s. At the edge of the building's roof, there is a 100-kg drum that is wound with a sufficiently long rope (of negligible mass), has a radius of 0.4 m, and is free to rotate about its cylindrical axis with a moment of inertia I0.The script calls for the 69-kg stuntman to tie the rope around his waist and walk off the roof.
(a) Determine an expression for the stuntman's linear acceleration in terms of his mass m, the drum's radius r, and moment of inertia I0.(Use any variable or symbol stated above along with the following as necessary: g.)
(b) Determine the required value of the stuntman's acceleration if he is to land safely at a speed of 5 m/s.
Use this value to calculate the moment of inertia of the drum about its axis.
(c) What is the angular acceleration of the drum?