Question

Three masses are located in the x- y plane as follows: a mass of 6 kg is at (0 m, 0 m), a mass of 4 kg is at (3 m, 0 m), and a mass of 2 kg is at (0 m, 3 m). Where is the center of mass (or center of gravity) of the system?

Answer 1

The center of mass of three mass in the x-y plane is located at (1,0.5).

Step-by-step explanation:

It is given that, a mass of 6 kg is at (0,0), a mass of 4 kg is at (3,0), and a mass of 2 kg is at (0,3). We need to find the center of mass of the system. Center of mass in x direction is :

`C_x=(6* 0+4* 3+2* 0)/(6+4+2)\\\\C_x=1`

The center of mass in y direction is :

`C_y=(6* 0+4* 0+2* 3)/(6+4+2)\\\\C_y=0.5`

So, the center of mass of three mass in the x-y plane is located at (1,0.5).