A uniform solid sphere of radius R rolling without sliding on a horizontal surface with an angular velocity omega not, - Physics - System of particles and rotational motion

Question

A uniform solid sphere of radius R rolling without sliding on a
horizontal surface with an angular velocity omega not, meets a
rough inclined plane of inclination theta = 60 degrees The sphere
starts pure rolling up the plane with an angular velocity omega
then prove that-
omega =9/14 omega not

Sandeep K. Gupta · Accepted Answer

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A uniform solid sphere of radius R rolling without sliding on a horizontal surface with an angular velocity omega not, meets a rough inclined plane of inclination theta = 60 degrees. The sphere starts pure rolling up the plane with an angular velocity omega. then prove that- omega =9/14 omega not.

A uniform solid sphere of radius R rolling without sliding on a horizontal surface with an angular velocity omega not, meets a rough inclined plane of inclination theta = 60 degrees. The sphere starts pure rolling up the plane with an angular velocity omega. then prove that-
omega =9/14 omega not.