A uniform solid sphere with a r radius is at the end of a light rod with a lenght a like the picture. It is released from rest where the center is level with the axis. What is its angular velocity as it swings through the point where the center is below the axis. (consider the mass of the rod to be negligible compared to that of the disk)

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11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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A uniform solid sphere with a r radius is at the end of a light rod with a lenght a like the picture. It is released from rest where the center is level with the axis. What is its angular velocity as it swings through the point where the center is below the axis. (consider the mass of the rod to be negligible compared to that of the disk)

The image depicts two circles connected by a line, resembling a system of rotating bodies. The larger circle has a radius marked as \( R \) and the smaller circle is positioned at a distance \( a \) from the larger circle. There is an axis indicated at the connection point between the line and the smaller circle. An arrow near the smaller circle is labeled \( \omega = ? \), suggesting an inquiry about the angular velocity of the smaller circle.

Key components:

1. **Larger Circle**: Has a radius \( R \).
2. **Smaller Circle**: The angular velocity to be determined, indicated by \( \omega \).
3. **Axis**: The rotational axis shown at the connection.
4. **Distance \( a \)**: The separation between the edge of the larger circle and the axis of the smaller circle. 

This diagram likely illustrates a problem related to rotational motion, possibly involving the calculation of angular velocity or the mechanics of rotating systems.
Transcribed Image Text:The image depicts two circles connected by a line, resembling a system of rotating bodies. The larger circle has a radius marked as \( R \) and the smaller circle is positioned at a distance \( a \) from the larger circle. There is an axis indicated at the connection point between the line and the smaller circle. An arrow near the smaller circle is labeled \( \omega = ? \), suggesting an inquiry about the angular velocity of the smaller circle. Key components: 1. **Larger Circle**: Has a radius \( R \). 2. **Smaller Circle**: The angular velocity to be determined, indicated by \( \omega \). 3. **Axis**: The rotational axis shown at the connection. 4. **Distance \( a \)**: The separation between the edge of the larger circle and the axis of the smaller circle. This diagram likely illustrates a problem related to rotational motion, possibly involving the calculation of angular velocity or the mechanics of rotating systems.
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