Rotational dynamics - System in Equilibrium

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SUMMARY

The discussion centers on a mechanical engineering problem involving a yo-yo in equilibrium, specifically a 0.150 kg yo-yo with an outer radius R that is 5.60 times greater than its axle radius r. The user sought assistance in calculating the tensions T1 and T2, as well as the mass 'm' suspended from the yo-yo. The user successfully resolved the issue by identifying a missing variable in their simultaneous equations, demonstrating the importance of thorough calculations in solving rotational dynamics problems.

PREREQUISITES
  • Understanding of rotational dynamics and equilibrium principles
  • Familiarity with free body diagrams (FBDs)
  • Knowledge of moment of inertia, specifically I=1/2mr²
  • Basic algebra for solving simultaneous equations
NEXT STEPS
  • Study the principles of rotational dynamics in depth
  • Learn how to construct and analyze free body diagrams (FBDs)
  • Explore the concept of moment of inertia for various shapes
  • Practice solving simultaneous equations in physics problems
USEFUL FOR

This discussion is beneficial for first-year mechanical engineering students, educators in physics, and anyone interested in mastering concepts of rotational dynamics and equilibrium in mechanical systems.

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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