Rectangular Plate with Varying Density Across the Width

jeudi 31 juillet 2014

So the question is



A rectangular plate has length l, width w and thickness t. Its density is constant across the width, but varies with distance from one end as ρ=ρo [1 + (x/l)^2] Find the plate’s mass and the coordinates of it’s centre of mass.



I Have had a bash at this question, thinking that you would take the equation given in the question and then just double integrate to find for a small area and then work from there ? , but i don't even know if i'm in the right ball park?





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