A problem on rotational mechanics

AI Thread Summary
A uniform solid sphere of radius R rolls without slipping on a rough horizontal surface and then encounters a rough inclined plane at a 60-degree angle. The problem involves determining the sphere's angular velocity 'n' as it rolls up the incline, expressed in terms of its initial angular velocity 'w'. Participants suggest using conservation of angular momentum but note uncertainty in its application. A recommendation is made to instead apply conservation of energy principles to solve the problem effectively. The discussion emphasizes the need for a clear approach to analyze rotational mechanics in this context.
nikhilnagaraj
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Homework Statement


A uniform solid sphere of radius R rolling on a rough horizontal surface without slipping, with an angular velocity 'w' meets a rough inclined plane of inclination 60degrees. The sphere continues to roll up the plane without slipping with an angular velocity 'n' given by ______________ (in terms of w)

(Please refer the attachment for the diagram)


Homework Equations


I GUESS,
L =Iw , K=.5 Iw^2 , I.is moment of inertia.


The Attempt at a Solution


I think this problem requires Conservation of angular momentum , but I do not know how to start or where to apply the principle.
 

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nikhilnagaraj said:

Homework Statement


A uniform solid sphere of radius R rolling on a rough horizontal surface without slipping, with an angular velocity 'w' meets a rough inclined plane of inclination 60degrees. The sphere continues to roll up the plane without slipping with an angular velocity 'n' given by ______________ (in terms of w)

(Please refer the attachment for the diagram)


Homework Equations


I GUESS,
L =Iw , K=.5 Iw^2 , I.is moment of inertia.


The Attempt at a Solution


I think this problem requires Conservation of angular momentum , but I do not know how to start or where to apply the principle.

Welcome to the PF.

Try using conservation of energy instead... :smile:
 
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