A triangular plate has vertices at (0, 0), (a, 0), and (0,b), where a 0 and b 0. The plate has variable thickness; at position (x, y) its thickness is . Assuming the plate is made of material of constant density, find the x-coordinate of its centre of mass.

Question

A triangular plate has vertices at (0, 0), (a, 0), and (0,b), where a > 0 and b > 0. The plate has variable thickness; at position (x, y) its thickness is  . Assuming the plate is made of material of constant density, find the x-coordinate of its centre of mass.

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The Answer of A triangular plate has vertices at (0, 0), (a, 0), and (0,b), where a > 0 and b > 0. The plate has variable thickness; at position (x, y) its thickness is  . Assuming the plate is made of material of constant density, find the x-coordinate of its centre of mass.

A Triangular Plate Has Vertices at (0, 0), (A, 0)