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Statement of a problem № 3111

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A semicircular disc of radius R has density s which varies as s = cr^2 , where r is the distance from the centre of the base and cis a constant. The centre of mass will lie along the y-axis for reasons of symmetry (Fig. 1.11). Locate the centre of mass from O , the centre of the base.

Solution:
A semicircular disc of radius R has density s which varies as s = cr^2 , where r

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