- #1

SadDan

- 14

- 0

## Homework Statement

A man is pulling himself up to a pulley that consists of two disks

*welded*together as shown(same center). The man is currently pulling straight down on the rope in his hands with a force of magnitude 447.2 N (on the bigger disk). The other rope is also vertical and is attached to the man's waist at his center of mass(this is on the smaller disk). The man's mass is 76.3 kg, the pulley's total moment of inertia is 2.74 kg⋅m2, the radius of the small disk is 0.33 m, and the radius of the big disk is 0.62 m.

The man is hanging on a rope attached to the inner disk and is pulling on the rope attached to the outer disk. if you need a better description of the picture let me know.

## Homework Equations

a(t) = angular acceleration*R

n2l for rotation and translation

## The Attempt at a Solution

R=outer radii r=inner radii

sys: man Tpm+Tpm2-Mg=Ma

**a=(Tpm+Tpm2-mg)/M**

sys: pulley Tmp*R - Tmp2*r=angular acceleration*I

Tmp*R - Tmp2*r= a*I/r

**(r*Tmp*R - Tmp2*r*r)/I= a**

so far i have 2 equations and 3 unknowns, how would i solve for a from here?