Topic 5: Centroids

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4 Terms

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the position where the body is perfectly balanced

where is the centre of mass for a body of uniform thickness and density

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  • ATx̄ = A1x̄1 + A2x̄2 …

  • therefore, x̄ = (A1x̄1 + A2x̄2 + …)/AT

    • A - area of shape

    • x̄ - position of centroid of shape

what is the equation to calculate the centroid of a complete shape that is made up of a number of smaller regular shapes

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measure 1/3rd of the distance between a perpendicular surface and the associated normal length to the tip of the triangle

how to calculate the centroid of a triangle

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because gravitational forces are directed towards the centre of the body rather than parallel

why is not safe to assume that the centre of mass and gravity are the same