A Half Disc

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Q. 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)

None of these
$= \frac{2}{3 π} \frac{(R_{2}^{2} + R_{1}^{2} + 2 R_{1} R_{2})}{R_{1} + R_{2}}$ above the centre
$= \frac{4}{π} \frac{(R_{2}^{2} + R_{1}^{2} + R_{1} R_{2})}{R_{1} + R_{2}}$ above the centre
$= \frac{4}{3 π} \frac{(R_{2}^{2} + R_{1}^{2} + R_{1} R_{2})}{R_{1} + R_{2}}$ above the centre

Q. A and B are thrown vertically upward with velocity, 5 m/s and 10 m/s respectively

(g = 10 m / s^{2})

. Find separation between them after one second.