A problem on rotational mechanics

1. The problem statement, all variables and given/known data
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)

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

3. 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.

Attached Images
File Type: jpg image.jpg (40.6 KB)


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