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simran chabba Grade: 11
        sir please explain what exactly perpendicular and parallel axis theorem
7 years ago

Answers : (1)

AKASH GOYAL AskiitiansExpert-IITD
419 Points

Dear Simran

parallel axis theorem: 

The moment of inertia about the  axis z is given by:

 I_z = I_{cm} + mr^2,\,


I_{cm}\! is the moment of inertia of the object about an axis passing through its centre of mass and parallel to the z axis;
m\! is the object's mass;
r\! is the perpendicular distance between the two axes

perpendicular axis theorem:

The perpendicular axis theorem states that if body lies in XY plane then
                                                      IZ = IX + IY
  • IX be the moment of inertia of the body about the X axis;
  • IY be the moment of inertia of the body about the Y axis; and
  • IZ be the moment of inertia of the body about the Z axis
The 3 axis X, Y and Z are mutually perpendicular to each other

All the best


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7 years ago
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