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Classical Mechanics Level pending

A uniform solid sphere of mass \(m\) is released from top of a fixed incline plane of inclination \(\theta\).If coefficient of friction between the incline and sphere is \(half\) the minimum value required for pure rolling of the sphere,then find the kinetic energy of sphere after moving a distance \(l\) on the incline plane.


\(l\) is measured from the point of release of sphere along the incline.

Use values:

\(\theta\)=\(\sin ^{ -1 }{ \frac { 6 }{ 11 } }\)



\(g\)=\(10m{ s }^{ -2 }\)


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