Four particles of masses 1 kg, 2 kg, 3 kg and 4 kg are placed at the four vertices A, B, C and D of a square of side 1 m. Find the position of centre of mass of the particles.

Options

A. (0.3, 0.5)
B. (0.5, 0.3)
C. (-0.5, 0.3)
D. (-0.5, -0.3)

Answer

B

Explanation

Assuming D as the origin, DC as x-axis and DA as y-axis.
`x_(COM)=(m_(1)x_(1)+m_(2)x_(2)+m_(3)x_(3)+m_(4)x_(4))/(m_(1)+m_(2)+m_(3)+m_(4))=0.5m`

`y_(COM)=(m_(1)y_(1)+m_(2)y_(2)+m_(3)y_(3)+m_(4)y_(4))/(m_(1)+m_(2)+m_(3)+m_(4))=0.3m," "(x_(COM), y_(COM))=(0.5, 0.3)`