An uniform lamina in the shape of a right angled triangle is shown in the figure. Find the coordinates of COM of the lamina. Assume the origin to be at the intersection of x and y axes.
A
(a3,b3)
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B
(2a3,2b3)
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C
(2a3,b3)
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D
(a3,2b3)
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Solution
The correct option is C(2a3,b3) For uniform triangular shaped lamina, its COM lies at centroid (c) of triangle, which is at a distance of h3 measured from the base.
where h= height of triangle
From the figure shown above, the coordinates of COM of lamina from the origin at O is: xCM=a−a3=2a3 yCM=b3
Thus, coordinates of COM are (2a3,b3)