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Offline Centres

Consider a circular disc of radius 20 cm with centre located at the origin. A circular hole of a radius 5 cm is cut from this disc in such a way that the edge of the hole touches the edge of the disc. The distance of centre of mass of residual or remaining disc from the origin will be-

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1.5 cm

2.0 cm

1.0 cm

0.5 cm

answer is D.

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Detailed Solution

mass of disc = m
mass of cut part = $\frac{m}{16}$
$X_{com} = \frac{m \times 0 - \frac{m}{16} \times 15}{m - \frac{m}{16}}$
= 1 cm.

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