four point masses are placed at the corners of a square of side 2m . find the centre of mass of the system wrt to the centre of square. the masses of objects placed are 1kg,2kg.3kg and 4kg.

Let O is the centre of the square.A,B,C,D are the corners of the square.A = 1kgB= 2kgC = 3 kgD = 4 kgA HAVE COORDINATES = (1,1)B has cordinates = (-1,1)C = (-1,-1)D = (1,-1)as we are moving in anti-clockwise directionX coordinated of the centre fo mass:Xcm = m1x1+m2x2+m3x3+m4x4m1+m2+m3+m4Xcm = 1-2-3+41+2+3+4 = 0Y coordinate of the centre of mass:Ycm = m1y1+m2y2+m3y3+m4y4m1+m2+m3+m4Ycm = 1+2-3-41+2+3+4 = -0.4cordinates of centre of mass with respect to origin = (0, -0.4)

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