First slide
Pure rotational motion and its kinetic energy
Question

A disc of mass m and radius R is rolling without slipping on a horizontal plane with angular velocity ω. P is a point in space in the plane of the disc at a height 2R above the horizontal plane. Then angular momentum of the disc about point P is

Difficult
Solution

LP=LcomP+  ICωLP=mVcRIC.ω=mωRR12  mR2ω=12mωR2

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