CIV100H1 Lecture Notes - Lecture 25: Negative Number, Centroid

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12 Nov 2015
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Civ100 lecture 25 - centroids and centres of gravity. 2d flat plate lying in the x-y plane total surface area = a uniform thickness = t. Sum of fz w = gta. Sum of moments in y direction : proportional to. Sum forces in z direction = w = : proportional to integral of xda i wi dw= xdw. Y a = yda = i xi d ai yi d a i i. Y l = ydl = i i xi d li yi d li. W = q l a: volume= l * a, l = to the length of the wire. Has a centroid somewhere with x and y coordinates. Weight line is proportional to length of line. Always lies on the axis of symmetry. Weight (w) = * q * a * t: w is proportional to the area. Example 1 on area with an axis of symmetry (rectangle)

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