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System Of Particles And Rotational Motion

Question
CBSEENPH11026424

A sphere of mass 10 kg and radius 0.5 m rotates about a tangent. The moment of inertia of the sphere is

  • 5 kg m2

  • 2.7 kg m2

  • 3.5 kg m2

  • 4.5 kg m2

Solution

C.

3.5 kg m2

M.I. about tangent =  I + MR2   

                             = 25 MR2 + MR2

                            = 75 MR2                  

                             = 75 × (10) × (0.5 )2

M.I. about tangent = 3.5 kg m2