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    Finding the centre of mass of a trapezoid

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    The figure shows a symmetric trapezoidal plate with a base of '2L'. The height and the top are each of length 'L' and the plate is of uniform density. Find the centre of mass of the trapezoid.
    P.S i have not included figure as scanner not working assuming know what it should look like. A rectangle with two triangles stuck on each side with measurements as given.

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    Solution Preview

    See figure..
    <br>We know that the centre of mass lies on the red line, since this is a line of symmetry of the object.
    <br>If we label this line the x-axis and introduce a y-axis as in the figure, this will allow us to use calculus:
    <br>divide the shape in to small elements. See figure..
    <br>Each strip is a distance of x from the y-axis. The mass of each strip is its volume à? density. The volume of each ...

    Solution Summary

    Very detail answer with easy to understand steps. It will enable you to do similar problems yourself.