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One of the use of the centre of mass or centroid is as in the determination of the product of moment of inertia is that the net force acts at the ___________ of the loading body.

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One of the use of the centre of mass or centroid is as in the determination of the product of moment of inertia is that the net force acts at the ___________ of the loading body.

(a) Centroid

(b) The centre axis

(c) The corner

(d) The base

The question was posed to me in final exam.

Enquiry is from Product of Inertia for an Area topic in section Moments of Inertia of Engineering Mechanics

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The correct choice is (a) Centroid

Explanation: In the moment of inertia calculations we see that the net force acts at the centroid of the loading body. That is if the loading system is in the form of the triangle then the at the distance 2 by 3 of the base the net force of the loading will act. And the load will be half the area of the loading.

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