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Two bodies of masses 1 kg and 2 kg are located at (1,2) and (-1,3), respectively. Calculate the coordinates of center of mass.

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Knowledge Check

  • Two bodies of masses 1kg and 2kg are lying in xy plane at (-1,2) and (2,4) respectively. What are the coordinates of the center of mass?

    A
    (1,10/3)
    B
    (1,0)
    C
    (0,1)
    D
    None of these

  • Two bodies of masses 5kg and 3kg are moving towards each other with 2ms^(-1) and 4ms^(-1) respectively. Then velocity of centre of mass is

    A
    `0.25 ms^(-1)` towards `3kg`
    B
    `0.5ms^(-1)` towards `5kg`
    C
    `0.25 ms^(-1)` towards`5 kg`
    D
    `0.5 ms^(-1)` towards `3 kg`

  • Two bodies of mass 2 kg and 5 kg have position (1 m, 2 m, 1 m) and (3 m, 2 m, -1 m) respectively. The position vector of centre of mass is

    A
    `(frac{17}{7}hati + 2hatj - frac{3}{7}hatk)m`
    B
    `(17hati + 14hatj - 3hatk)m`
    C
    `(2hati + frac{17}{7}hatj - frac{3}{7}hatk)m`
    D
    `(14hati + 17hatj - 3hatk)m`

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    Three point masses of 1 kg, 2kg and 3 kg lie at (1,2), (0,-1) and (2, -3) respectively. Calculate the co-ordinates of the centre of mass of the system.

    Two bodies of masses 1kg and 3kg are lying in xy plane at (0,0) and (2,-1) respectively. What are the coordinates of the centre of mass ? Hint. x_(cm)=(m_(1)x_(1)+m_(2)x_(2))/(m_(1)+x_(2)) , y_(cm)=(m_(1)y_(1)+m_(2)y_(2))/(m_(1)+m_(2))

    Three bodies of masses m, 2m and 3m are placed at the corners of a triangle having coordinates (1, 1.5), (2.5, 1.5) and (3, 3) respectively. Calculate the coordinates of the centre of mass.

    Centre of mass of two particles with masses 1kg and 2kg located at (2,0,2) and (1,1,0) has the co-ordinates of ?

    The coordinates of a triangle ABC are A(1,2) , B(4,6) and C(-3,-2) . Three particles of masses 1kg , 2kg and m kg are placed the vertices of the triangle. If the coordinate of the centre of mass are ((3)/(5),2) , calculate the mass m .

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