Rotational dynamics - System in Equilibrium

AI Thread Summary
A first-year Mechanical Engineering student sought help with a homework problem involving a yo-yo in equilibrium, requiring the calculation of tensions T1 and T2, and the mass m. The student initially struggled with deriving an equation for T1 due to the presence of variables in their solution. After receiving encouragement to share their calculations, the student resolved the issue independently by identifying a missing variable in their simultaneous equations. This experience highlights the importance of thorough problem-solving and attention to detail in physics. The discussion concludes with the student successfully solving the problem on their own.
numan-chris
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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.
 
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welcome to pf!

hi numan-chris! welcome to pf! :wink:

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

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