First slide
Dynamics of rotational motion about fixed axis

Three objects, A: (a solid sphere), B: (a thin circular disk) and C: (a circular ring), each have the same mass M and radius R. They all spin with the same angular speed ω about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation


Work done required to bring a object to rest


ΔW=12Iω2; where I= moment of inertia 

 For same ω,ΔWI

 For a solid sphere, IA=25MR2

 For a thin circular disk, IB=12MR2

 For a circular ring, IC=MR2



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