A system consists of two identical spheres each of mass 1.5 kg and radius 50 cm at the ends of a light rod. The distance between the centres of the two spheres is 5 m. What will be the moment of inertia of the system about an axis perpendicular to the rod passing through its midpoint ?

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ArrillScoorse99z · Accepted Answer

Moment of inertia of the sphere about its diametral axis is       2    5    m      r    2  Moment of inertia of the sphere about COM of the system is       2    5    m      r    2    +  m  (      l    2    +  r      )    2  Moment of inertia of the system about center of rod is       4    5    m      r    2    +  2  m  (      l    2    +  r      )    2  m=1.5 kgr=0.5 ml/2+r=2.5 mOn substitution      I          c      o      m        =      4    5    (  1.5  )  (  0.5      )    2    +  2  (  1.5  )  (  2.5      )    2    =  0.3  +  3  (  6.25  )  =  19.05  k  g  .  m  2

A system consists of two identical spheres each of mass 1.5 kg and radius 50 cm at the ends of a light rod. The distance between the centres of the two spheres is 5 m. What will be the moment of inertia of the system about an axis perpendicular to the rod passing through its midpoint ?

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