Recent content by taits2204

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    Rectangular Plate with Varying Density Across the Width

    so would it be right to say dm = ρowt[1+(x/l)^2) dx ∫wo xdm = ∫woρowt[1+(x/l)^2) x dx and then solve from there ?
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    Rectangular Plate with Varying Density Across the Width

    so where do i go from here then ? i solved the integral HallsofIvy gave me, giving me 1/4 ρ0l2ωt woudlnt that just mean that the coordinates for the COM are (1/4 ρ0l2ωt , ω/2 , t/2)
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    Rectangular Plate with Varying Density Across the Width

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    Rectangular Plate with Varying Density Across the Width

    oops .. didnt quote right, sorry :P
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    Rectangular Plate with Varying Density Across the Width

    Ive attached a copy of my working to the post, i have a feeling that its my maths that's causing the problems...
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    Rectangular Plate with Varying Density Across the Width

    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...