Three particles , each of mass m, are placed at the vertices of a right angled triangle as shown in figure. The position vector of the center of mass of the system is (O is the origin and `hat(i), hat(j), hat(k)` are unit vectors)

Options

A. `1/3(ahat(i)-bhat(j))`
B. `2/3(ahat(i)-bhat(j))`
C. `2/3(ahat(i)+bhat(j))`
D. `1/3(ahat(i)+bhat(j))`

Answer

D

Explanation

Given, mass = m
and here `r_(CM) = (mahat(i) + mbhat(j) + m0)/(3m)`
`rArr r_(CM) = 1/3(ahat(i) + bhat(j))`