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The centre of mass for the composite body is the ratio of ________ to _________

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The centre of mass for the composite body is the ratio of ________ to _________

(a) The product of centroid and mass to the total weight

(b) The addition of centroid and weight to the total weight

(c) The subtraction of centroid and weight to the total weight

(d) The product of centroid and mass to the total mass

This question was addressed to me in an online quiz.

This intriguing question originated from Composite Bodies in chapter Centre of Gravity and Centroid of Engineering Mechanics

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Right answer is (d) The product of centroid and mass to the total mass

Best explanation: The product of the centroid of the section to its mass to the total mass of the body is the centre of mass. Thus the answer. The ratio is generally used to locate the coordinate of the centroid or the centre of mass.

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