Another rotation problem -- Acceleration of a ring rolling on a surface

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The discussion focuses on the dynamics of a rotating ring on a surface, specifically analyzing the acceleration of the center, the frictional force from the ground, and the normal reaction when the velocity of the geometric center is $$ \sqrt{gR} $$. Participants emphasize the importance of applying Newton's laws of motion and the principles of rotational dynamics to solve the problem. The conversation highlights the need for clear problem statements and encourages users to provide their attempts for better guidance.

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  • Understanding of Newton's laws of motion
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  • Knowledge of frictional forces and normal reactions
  • Basic proficiency in algebra and calculus for solving equations
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  • Study the application of Newton's second law in rotational motion
  • Learn about the relationship between linear and angular acceleration
  • Explore the concepts of static and kinetic friction in detail
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[Mentors' note - this question was spun off from https://www.physicsforums.com/threa...urface-but-with-a-twist.1078618/#post-7243282 which contains the homework template information]

I'm not sure if I can add on by adding a similar question, if I am not allowed someone please tell me.

A ring is rotating as shown in the figure. At that particular instant when the velocity of the geometric center is $$ \sqrt{gR} $$ find the
1. Acceleration of center
2. Frictional force from ground
3. Normal reaction
 

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palaphys said:
[Mentors' note - this question was spun off from https://www.physicsforums.com/threa...urface-but-with-a-twist.1078618/#post-7243282 which contains the homework template information]

I'm not sure if I can add on by adding a similar question, if I am not allowed someone please tell me.

A ring is rotating as shown in the figure. At that particular instant when the velocity of the geometric center is $$ \sqrt{gR} $$ find the
1. Acceleration of center
2. Frictional force from ground
3. Normal reaction
Where is your attempt?
 
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