Find the centre of mass of a uniform plate having semicircular inner and outer boundaries of radii R 1 and R 2 figure 9 - E5Figure-9-E5A- None of these B- -2-3 - R 22- R 12-2 R 1 R 2- R 1- R 2 above the centreC- -4- R 22- R 12- R 1 R 2-1- R 2 above the centreD- -4-3 - R 22- R 12- R 1 R 2- R 1- R 2 above the centre

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Find the centre of mass of a uniform plate having semicircular inner and outer boundaries of radii $R_{1}$ and $R_{2}$ (figure 9 - E5)

= \frac{4}{π} \frac{(R_{2}^{2} + R_{1}^{2} + R_{1} R_{2})}{R_{1} + R_{2}}

above the centre

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= \frac{4}{3 π} \frac{(R_{2}^{2} + R_{1}^{2} + R_{1} R_{2})}{R_{1} + R_{2}}

above the centre

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= \frac{2}{3 π} \frac{(R_{2}^{2} + R_{1}^{2} + 2 R_{1} R_{2})}{R_{1} + R_{2}}

above the centre

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None of these

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