Question

Polar moment of inertia is:
(A) Same as moment of inertia
(B) Applicable to masses whereas moment of inertia is applicable to area only.
(C) The moment of inertia for an area relative a linear or axis perpendicular to the
plane of the area.
(D) The moment of inertia for an area relative to a linear or axis parallel to the
centroids axis.​

Answer 1

Answer:

Polar moment of inertia describes an object's resistance to torque, or torsion, and is used only for cylindrical objects. The equation for polar moment of inertia is essentially the same as that of planar moment of inertia, but the distance used is distance to an axis parallel to the area's cross-section.

Answer 2

Answer: The correct answer is option (C).

Explanation:

• The moment of inertia of an area in a plane with regard to an axis perpendicular to the plane of the figure is known as the polar moment of inertia with respect to the point where the axis meets the plane.
• An object's ability to oppose or resist torsion when a certain amount of torque is applied to it on a specific axis is measured by its polar moment of inertia.
• Mathematically it is given by:

              $J = r^{2} dA$

       where $r$ is the distance to the element $dA$

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