Rotational Mechanics: Sphere collision problem

AI Thread Summary
A user is seeking help with a physics problem involving a solid sphere of mass M and radius R rolling towards a step of height R/4. They want to determine the maximum velocity at which the sphere can roll without losing contact with the surface when it encounters the step. Clarification was requested regarding whether the user meant the minimum velocity needed to clear the step. Participants suggest using the law of energy conservation as a hint to solve the problem. The discussion emphasizes the importance of understanding the mechanics of rolling motion and energy principles in this context.
shreyashebbar
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Hello everyone,
Please help me with this problem, as I am getting stuck solving this problem.

A solid sphere of Mass M and Radius R rolling (pure) encounters a protrusion on the surface of height R/4. Its in the form of a step. What can be the maximum velocity V of sphere so that it doesn't leave contact from surface and final velocity?

Attached below is a figure:

Please help.

Thanking in anticipation

Regards
 

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I ts not clear what you actually want to ask ! do you wish to know the least velocity that the sphere should have to get above that protrusion ?
 
Apologize for not making it clear.
Yeup I wish to know the maximum velocity the sphere can roll such that when it strokes the step and rolls over it it doesn't jump is leave touch with the surface.

Regards
 
OK , you should try it first.
let me give you just a hint.
Law of energy conservation. its the hint.
now can you do it ?
 

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