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Four cubes of side a=1 m and of mass 40 ...

Four cubes of side `a=1 m` and of mass `40 g`, `20g, 10 g` and `20g` are arranged in `x-y` plane as shown in the figure. The co-ordinates of the centre of mass of the combination with respect to `O` are `x_cm` and `y_cm`. Find `|x_(cm)+y_(cm)|`.
'(##CEN_KSR_PHY_JEE_C08_E01_001_Q01##)'

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Knowledge Check

  • Four cubes of side a each of mass 40g , 20g , 10g and 20g are arranged in XY plane as shown in the figure. The coordinates of COM of the combination with respect to point O is

    A
    `(19a)/(18)`, `(17a)/(18)`
    B
    `(17a)/(18)`, `(11a)/(18)`
    C
    `(17a)/(18)`, `(13a)/(18)`
    D
    `(13a)/(18)`, `(17a)/(18)`

  • Three particles of massses 50 g, 100 g and 150 g are placed at the vertices of an equilateral triangle of side 1m ( as shown in the figure ) . The ( x, y) coordinates of the centre of mass will be :

    A
    `(7/12m,sqrt3/4m)`
    B
    `(7/12m,sqrt3/8m)`
    C
    `(sqrt3/4m,5/12m)`
    D
    `(sqrt3/8m,7/12m)`

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