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sir please explain what exactly perpendicular and parallel axis theorem

simran chabba , 14 Years ago
Grade 11
anser 1 Answers
AKASH GOYAL AskiitiansExpert-IITD

Last Activity: 14 Years ago

Dear Simran

parallel axis theorem: 

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

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

where:

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
where, 
  • 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

AKASH GOYAL
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