Rotational Motion- Parallel Axis Theorem?

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SUMMARY

The discussion centers on calculating the angular velocity of a meter stick swinging about a pivot at the 60-cm mark, utilizing the Parallel Axis Theorem and the principle of Conservation of Mechanical Energy. The moment of inertia (I) was determined to be 0.09 kg·m². The user is seeking guidance on how to transition from calculating the moment of inertia to finding the angular velocity, emphasizing the need to incorporate rotational kinetic energy into the solution process.

PREREQUISITES
  • Understanding of the Parallel Axis Theorem
  • Knowledge of Conservation of Mechanical Energy principles
  • Familiarity with rotational kinetic energy equations
  • Basic concepts of moment of inertia
NEXT STEPS
  • Study the derivation and application of the Parallel Axis Theorem in rotational dynamics
  • Learn how to calculate potential energy for rigid bodies in motion
  • Explore the relationship between rotational kinetic energy and angular velocity
  • Practice problems involving the Conservation of Mechanical Energy in rotational systems
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of rotational motion and energy conservation principles.

elianaphys
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Homework Statement


A meter stick is held to a wall by a nail passing through the 60-cm mark. The meter stick is free to swing about this nail, without friction. If the meter stick is released from an initial horizontal position, what angular velocity will it attain when it swings through the vertical position?

Homework Equations


Parallel Axis theorem Iz=Icm+mr^2
Conservation of Mechanical Energy E=1/2Iω^2+U=[constant]

The Attempt at a Solution


By using the parallel axis theorem, I have found the moment of Inertia, which is 0.09. Now, I am a bit stuck as to how to apply this toward finding the angular velocity. I believe rotational kinetic energy is a necessary intermediary step, but I am unsure about how to get there.

FYI, I am doing this through an online course and so have myself and a textbook--no teacher. I sincerely appreciate any and all help!
 
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elianaphys said:

Homework Statement


A meter stick is held to a wall by a nail passing through the 60-cm mark. The meter stick is free to swing about this nail, without friction. If the meter stick is released from an initial horizontal position, what angular velocity will it attain when it swings through the vertical position?

Homework Equations


Parallel Axis theorem Iz=Icm+mr^2
Conservation of Mechanical Energy E=1/2Iω^2+U=[constant]

The Attempt at a Solution


By using the parallel axis theorem, I have found the moment of Inertia, which is 0.09. Now, I am a bit stuck as to how to apply this toward finding the angular velocity. I believe rotational kinetic energy is a necessary intermediary step, but I am unsure about how to get there.

FYI, I am doing this through an online course and so have myself and a textbook--no teacher. I sincerely appreciate any and all help!
How is potential energy determined for the meter stick ?
 

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