How to Solve Angular Kinetics Problem with Inclined Plane and Hoop Release

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    Angular Kinetics
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SUMMARY

The discussion focuses on solving a physics problem involving a hoop released from rest on an inclined plane at a 16-degree angle. The key equations include the moment of inertia, I = MR², and the need to apply conservation of energy principles to determine the change in potential energy (ΔPE) as the hoop rolls down 16.4 meters. The final velocity can be calculated using these principles, considering the hoop rolls without slipping, which is crucial for accurate results.

PREREQUISITES
  • Understanding of rotational dynamics and moment of inertia (I = MR²)
  • Familiarity with conservation of energy principles in physics
  • Knowledge of kinematic equations for constant acceleration
  • Basic trigonometry to resolve forces on an inclined plane
NEXT STEPS
  • Study the application of conservation of energy in rolling motion
  • Learn how to derive equations for motion on an inclined plane
  • Explore the relationship between linear and angular velocity in rolling objects
  • Investigate the effects of friction on rolling motion and energy loss
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of rolling objects on inclined planes.

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Homework Statement



A hoop is released from rest at the top of a plane inclined at 16 above horizontal. How long does it take the hoop to roll 16.4 m down the plane?


Homework Equations





The Attempt at a Solution



I know I have to find the final velocity, I know the Inertia is = to

I=MR2

v0=0

Δx=16.4

I also know I need to incorporate some form of constant acceleration or constant angular acceleration to find t.

Im just so confused on how to begin..

Thank you
 
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Consider conservation of energy; The hoop is going downhill, so it's losing height. What's the change in PE? Where does this ΔPE end up? (assume that the hoop rolls and doesn't slip) Can you determine the final velocity from this?
 

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