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One of the uses of the centre of mass or centroid is as in the determination of the moment of inertia about an inclined plane is that the net force acts at the ___________ of the loading body.

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One of the uses of the centre of mass or centroid is as in the determination of the moment of inertia about an inclined plane is that the net force acts at the ___________ of the loading body.

(a) Centroid

(b) The centre axis

(c) The corner

(d) The base

I had been asked this question in final exam.

This question is from Moments of Inertia for an Area About Inclined Axis topic in section Moments of Inertia of Engineering Mechanics

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Correct option is (a) Centroid

The 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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