Find the centre of mass x CM of the shaded portion of the disc of radius R = 24 cm .

Find the centre of mass

x_{CM}

of the shaded portion of the disc of radius

R = 24 cm

.

Solution

Mass of shaded portion

= \frac{3 M}{4}

X_{CM} = \frac{0 - \frac{M}{4} (- \frac{R}{2})}{M - M / 4} = \frac{R}{6}

R = 24 cm

Therefore,

X_{CM} = \frac{24}{6} = 4 cm

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