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baba garg Grade: 11
        

theorms on parallel ad perpendicular axes

7 years ago

Answers : (1)

AKASH GOYAL AskiitiansExpert-IITD
419 Points
										

Dear Baba


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
AskiitiansExpert-IITD

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7 years ago
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