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Four particles A, B, C and D of masses m...

Four particles `A, B, C and D` of masses `m, 2m, 3m and 4m` respectively are placed at corners of a square of side `x` as shown in Fig.

Locate the centre of mass.

Text Solution

Verified by Experts

Taking `A` as origin, co-ordinates of `A (0,0), B (x, 0), C(x , x), D(0, x)`
`x_(cm) = (m xx 0 + 2m xx x+ 3m xx x+ 4m xx 0)/(m + 2m + 3m + 4m) = (x)/(2)`
`y_(cm) = (m xx 0 + 2m xx 0 + 3m xx (x) + 4m xx (x))/(m + 2m + 3m + 4m)`
`= (7)/(10)x`
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Knowledge Check

  • Four particles of masses m,m 2 m and 2m are placed at the four corner of a squre of side "a" as shown in figure -4. 107. The (x,y) coordinates of the centre of mass are:

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