In the figure shown a *** of radius 2 cm is made in a semicircular disc of radius 6π* at a distance 8 cm from the centre C of the disc. The distance of the centre of mass of this system from point C is:
(A) 4 cm
(B) 8 cm
(C) 6 cm
(D) 12 cm
Correct option: (B) 8 cm
Explanation:
The centre of mass of semicircular disc is
4r / 3π
The position of COM of this system from point ‘C’ is
From equation (i)