Four particles of mass 1 kg, 2kg, 3 kg and 4 kg are placed at the vertices P, Q, R and S (respectivel) of a square whose side is 1 m. The position of centre of mass of the particle is (consider the origin to be at P and the side PQ to be along x-axis and square lying in x-y plane).

Options

A. (0.5 m, 0.7 m)
B. (0.5 m, 0.5 m)
C. (0.7 m, 0.7 0.7 m)
D. (0.7 m, 0.5 m)

Answer

A

Explanation

`x_(1)y_(1)" "x_(2)y_(2)" "x_(3)y_(3)" "x_(y)y_(3)`
`P(0, 0)," "Q(1,0)," "R(1,1)," "S(0,1)`

`m__(1)=1kg, m_(2)=2kg, m_(3)=3kg, m_(4)=4kg`
`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))`
`=(1(0)+2(1)+3(1)+4(0))/(1+2+3+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))=(1(0)+2(0)+3(1)+4(1))/10=0.7m`