Physics System of Particles Rotational Motion All Topic Question for Revision Test MCQ (Single Correct)

In the given figure, a hole of radius 2 cm is made in a semicircular disc of radius at a distance 8 cm from the centre of the disc. The distance of the center of mass of this system from point is

A
4 cm
B
8 cm
C
6 cm
D
12 cm

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The correct answer is:
B

Taking as origin, and and -axes as shown in the figure.

Due to symmetry about -axis,

The center of mass of semicircular disc is

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