Question

Parallel axis theorem is used for transfer of moment of inertia from ______ axis to any other parallel coplanar axis​

Answer 1

Answer:

As parallel theorem states that the moment of inertia of a planar body about an axis parallel to an axis passing through the center of mass is equal to the sum of the moment of inertia of body about an axis passing through center of mass and product of mass & square of the distance between two axes.

I

z

=I

cm

+MR

d

2

Hence, any of two parallel axes of which one must pass through the center of mass of the body.

Answer 2

Answer:

The answer is centre of mass

     According to the parallel axis theorem, the moment of inertia of a body about an axis parallel to an axis passing through the centre of mass is equal to the sum of the moment of inertia of the body about an axis passing through the centre of mass, the product of mass, and the square of the distance between the two axes

Explanation:

Parellel axis theoram

Any object's moment of inertia about an axis through its centre of mass is the smallest moment of inertia for an axis in that direction in space. The moment of inertia about any parallel axis passing through the centre of mass is given by

IParellel axis=Icm+Md²

• The moment of inertia of a point mass will be recognised as the expression added to the centre of mass moment of inertia - the moment of inertia about a parallel axis is the centre of mass moment plus the moment of inertia of the entire object treated as a point mass at the centre of mass.

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