Assume the person trying to escape is on the fifth floor of the building by using a cable turning a solid aluminum drum. Clearly state all your assumptions, sketches, etc. and include the following items:

- Development of an expression for the mass of the drum M.

- Determination of an expression for I  as a function of ω  including plot.

- Calculations for R  value for each ω  value including plot.

- Development of an equation for the depth of the cylinder for each case

Proposal: The person will put on a harness (similar to a parachutist) and then attach the harness to a cable wound around a solid drum. Ideally, the person jumps, the cable begins to spin the cylinder absorbing some kinetic energy, and the person “lands” on the ground.