# theorms on parallel ad perpendicular axes

419 Points
12 years ago

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

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