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CBSE Class 11-science Answered

Calculate the moment of inertia of a uniform circular disc of radius R and mass M about an axis a.                   passing through its centre and normal to the discb.                   passing through a point on its edge and normal to the disc.It is given that moment of inertia of the disc about any of its diameter is
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

We have, moment of inertia of the disc about its diameter, Id =

Let us suppose that x and y-axis are the two perpendicular diameters of the disc. Then,
Ix = Iy = Id =
a.       If  is moment of inertia of the disc about an axis passing through its centre and normal to its plane, then according to the theorem of perpendicular axis,
             Iz = Ix + Iy =
 
b.       If ICD is the moment of inertia of the disc about an axis passing through a point on its edge and normal to its plane, then according to theorem of parallel axis,
             CD = z + Mh2 and h = R
 
          
 
   
Answered by | 04 Jun, 2014, 03:23: PM

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