What do you mean by centre of mass of a rigid body. Four particles of mass 1 kg, 2 kg, 3 kg and 4kg are placed at four vertices D,E,F,G of a square of side 1 m. Find the position of centre of mass of the particle.

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Amitha Devi

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Centre of mass of a body is the point where we can assume its entire mass is concentrated. To find Centre of mass of the given sysytem of four particles, first we identify the coordinates of their positions. M1 = 1kg M2 = 2kg M3 = 3kg M4= 4kg Let 1kg mass be at the origin. ( X1, y1 ) = (0,0) (X2,...
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Centre of mass of a body is the point where we can assume its entire mass is concentrated. To find Centre of mass of the given sysytem of four particles, first we identify the coordinates of their positions. M1 = 1kg M2 = 2kg M3 = 3kg M4= 4kg Let 1kg mass be at the origin. ( X1, y1 ) = (0,0) (X2, y2) = (1,0) (X3, y3 ) = (1,1) (X4,y4) = (0,1) Now using the formula Xcm = (m1x1 + m2x2 + m3x3 + m4x4)/ (m1+m2+m3+m4) We can find the centre of mass Xcm = (0+2+3+0)/(1+2+3+4) = (1/2)m Ycm = (0+0+3+4)/(1+2+3+4) = (7/10) m read less
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