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## Homework Statement

You are the technical consultant for an action-adventure film in which a stunt calls for the hero to drop off a 20.0-m-tall building and land on the ground safely at a final vertical speed of 4.00 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 0.500 m, and is free to rotate about its cylindrical axis with a moment of inertia I. The script calls for the 50.0-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 I.

## The Attempt at a Solution

So far I'm unable to find an adequate relationship for part a.

So far I have: T-mg =-ma and τ = Tr = Iσ = I[itex]\frac{a}{r}[/itex], where σ is the angular acceleration, T is the tension, and τ is the torque caused by the tension.

Now if I combine these equations for tension I obtain an expression in terms of g (which doesn't belong as indicated by the question).

Any ideas what I'm doing wrong or neglecting?

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