Moment of Inertia: Homework Help for Emma

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SUMMARY

The discussion centers on calculating the tension in a system involving a bar and a pulley, specifically using the moment of inertia formula, \(I = \frac{mL^2}{3}\), and the sum of moments around a pivot point. Emma is attempting to find the tension in the bar due to a mass on the opposite side of the pulley. The key advice provided includes drawing free body diagrams and applying Newton's second law, \(F = ma\), to solve for the unknown tension.

PREREQUISITES
  • Understanding of moment of inertia calculations
  • Familiarity with free body diagrams
  • Knowledge of Newton's second law (F = ma)
  • Basic principles of rotational dynamics
NEXT STEPS
  • Study the derivation of the moment of inertia for various shapes
  • Learn how to analyze systems with pulleys and tension forces
  • Explore advanced applications of Newton's laws in rotational motion
  • Practice solving problems involving free body diagrams in static and dynamic scenarios
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EmmaJ1989
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Homework Statement


Picture1.png



Homework Equations


Moment of Inertia at one end of a bar = mL^2/3
Sum of Moments around point A = Moment of Inertia at point A x angular acceleration (alpha)


The Attempt at a Solution


I have a few different equations with the variables replaced accordingly but I am having trouble finding the tension holding the bar up due to the mass on the other side of the pulley.

Thanks!
Emma
 
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Draw free body diagrams and use your equations for f=ma
 

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