Rotational dynamics - System in Equilibrium

[numan-chris]

Hi all, first year MechEng student here, final question of the final assignment of the year, would appreciate any assistance:

Homework Statement

A 0.150 kg yo-yo has an outer radius R that is 5.60 times greater than the radius r of its axle. The yo-yo is in equilibrium if a mass m is suspended from its outer edge, as shown in the figure .

(http://session.masteringphysics.com/problemAsset/1123236/2/Walker.11.95.jpg)

Find the tension T₁

Find the tension T₂

Find the mass 'm'

Homework Equations

w=mg
I=1/2mr²

The Attempt at a Solution

Having drawn FBD's for the system, I found no problem in deriving an equation for T₁ (if I find this I'm sure I will have no problem with the rest) however it contained variables which when submitted, I was told the answer was not to contain. After much struggling I can't see how it can be done.

 

[tiny-tim]

welcome to pf!

hi numan-chris! welcome to pf!

show us your full calculations, and then we'll see what went wrong, and we'll know how to help!

 

[numan-chris]

thank you for the reply, managed to solve the problem myself about 5 minutes ago, was missing a variable from one of the simultaneous equations I needed, novice mistake!