Question

What is parallel axis theorem and to whom it is applied so that it can give the product of inertia of an area of an area inclined about an axis?

(a) Theorem used to add the two mutually perpendicular moment of inertias for areas

(b) Theorem used to add the two mutually perpendicular moment of inertias for volumes

(c) Theorem used to add the two mutually perpendicular moment of inertias for linear distances

(d) Theorem used to add the two mutually perpendicular moment of inertias for vectors

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This intriguing question comes from Moments of Inertia for an Area About Inclined Axis topic in division Moments of Inertia of Engineering Mechanics

Answer 1

The correct answer is (a) Theorem used to add the two mutually perpendicular moment of inertias for areas

The best explanation: Parallel axis for any area is used to add the two mutually perpendicular moment of inertias for areas. It gives a moment of inertia perpendicular to the surface of the body. That is the moment of inertia perpendicular to the surface in considerance.