Understanding Rotational Motion: Solving for Linear and Angular Acceleration

AI Thread Summary
The discussion focuses on a physics problem involving a sphere on a table with kinetic friction, where the sphere starts with zero linear velocity but has an initial angular velocity. Participants are seeking clarification on how to determine both the linear acceleration of the sphere's center of mass and its angular acceleration. The key point is that the sphere is skidding, which allows it to rotate without translating linearly at the start. Understanding the relationship between linear and angular motion, as well as the effects of friction, is crucial for solving the problem. The conversation emphasizes the need for a clear approach to rotational motion concepts.
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Homework Statement



Consider a sphere that is placed at a table. The coefficient of kinetic friction between the sphere and the table is μ. At time t = 0, the velocity of the center of mass of the sphere is Vo = 0, and the sphere is rotating with respect of the horizontal axis with angular velocity ωo.
Find the linear acceleration of the center of mass of the sphere and the angular acceleration of sphere. (picture attached)

https://www.physicsforums.com/attachment.php?attachmentid=57185&d=1364426694

Homework Equations

The Attempt at a Solution



So I'm having a hard time understanding rotation problem. Can anyone please explain this to me and the approach to solve it? Thank you
 

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What in particular are you having trouble understanding? The sphere is skidding on the surface if you're wondering how it can spin yet not move linearly.
 
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