Find the angular velocity of a yo-yo after it has fallen a distance of y, given its mass, distance between center and attachment (r), gravity, and assuming its moment of inertia is 0.5mr² and it doesn't change as the yo-yo falls. m

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The text describes a physics problem involving a yo-yo. It reads:

"Find the angular velocity of a yo-yo after it has fallen a distance of y, given its mass, distance between center and attachment (r), gravity, and assuming its moment of inertia is 0.5mr² and it doesn’t change as the yo-yo falls."

**Diagram Explanation:**

- **Yo-yo Representation:** 
  - The diagram shows a circle labeled "m," representing the mass of the yo-yo.
  - Above the circle, there is a horizontal line indicating the point of attachment or where the yo-yo is connected to the string.
  
- **Distance "r":** 
  - The horizontal double-headed arrow labeled "r" represents the distance between the center of the yo-yo and the point of attachment. This is a crucial parameter in determining the angular velocity.

The problem involves calculating the angular velocity using the given parameters and the assumption that the moment of inertia remains constant.
Transcribed Image Text:The text describes a physics problem involving a yo-yo. It reads: "Find the angular velocity of a yo-yo after it has fallen a distance of y, given its mass, distance between center and attachment (r), gravity, and assuming its moment of inertia is 0.5mr² and it doesn’t change as the yo-yo falls." **Diagram Explanation:** - **Yo-yo Representation:** - The diagram shows a circle labeled "m," representing the mass of the yo-yo. - Above the circle, there is a horizontal line indicating the point of attachment or where the yo-yo is connected to the string. - **Distance "r":** - The horizontal double-headed arrow labeled "r" represents the distance between the center of the yo-yo and the point of attachment. This is a crucial parameter in determining the angular velocity. The problem involves calculating the angular velocity using the given parameters and the assumption that the moment of inertia remains constant.
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