A problem on rotational mechanics

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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: