A system consists of three particles, each of mass m and located at (1,1)(2,2) and (3,3). The coordinates of the centre of the mass are:

A system consists of 3 particles each of mass 2 kg located at (1,1), (2,2) and (3, 3) respectively. Find the coordinates of the centre of mass.

Two particles of masses 1kg and 2kg are located at x=0 and x=3m . Find the position of their centre of mass.

Two particles of masses 1kg and 2kg are located at x=0 and x=3m . Find the position of their centre of mass.

Two bodies of masses 1 kg and 2 kg are located at (1,2) and (-1,3), respectively. Calculate the coordinates of center of mass.

Four particles of mass 5,3,2,4 kg are at the points (1,6),(-1,5),(2,-3),(-1,-4) . Find the coordinates of their centre of mass.

Particles of masses 1kg and 2kg are at (i+2j+3k) m and (-2i+4j+2k)m then instantaneous position of their centre of mass is

The coordinates of the positions of particles of mass 7, 4 and 10 gm are (1, 5,-3) , (2, 5, 7) and (3, 3,-1) respectively. Find the position of the centre of mass of the system?

Three particles having their masses in the ratio 1 : 3 : 5 are kept at the vertices of a triangle ABC . Coordinate of A , B and C are (9,-3) , (3,4) and (0,0) . Find the coordinates of the centre of mass. Hint. x_(cm)=(sum_(i-1)^(3)m_(i)x_(i))/(sum_(i=1)^(3)m_(i)) , y_(cm)=(sum_(i=1)^(3)m_(i)y_(i))/(sum_(i=1)^(3)m_(i))

Three particles having their masses in the ratio 1 : 3 : 5 are kept at the vertices of a triangle ABC . Coordinate of A , B and C are (9,-3) , (3,4) and (0,0) . Find the coordinates of the centre of mass. Hint. x_(cm)=(sum_(i-1)^(3)m_(i)x_(i))/(sum_(i=1)^(3)m_(i)) , y_(cm)=(sum_(i=1)^(3)m_(i)y_(i))/(sum_(i=1)^(3)m_(i))

The gravitational potential energy of an isolated system of three particles, each of mass m , at the three corners of an equilateral triangle of side l is