Rotational Motion- Parallel Axis Theorem?

AI Thread Summary
The discussion revolves around calculating the angular velocity of a meter stick swinging from a horizontal position to a vertical position, pivoting at the 60-cm mark. The Parallel Axis Theorem is applied to determine the moment of inertia, which is found to be 0.09. The user is seeking guidance on how to use this moment of inertia in conjunction with the conservation of mechanical energy to find the angular velocity. There is also a question about how to determine the potential energy of the meter stick during this motion. The conversation emphasizes the need for understanding the relationship between rotational kinetic energy and potential energy in this context.
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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