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Four particles of mass 5,3,2,4 kg are at...

Four particles of mass `5,3,2,4 kg` are at the points `(1,6),(-1,5),(2,-3),(-1,-4)` . Find the coordinates of their centre of mass.

Text Solution

Verified by Experts

The correct Answer is:
1/7,23/14
`x_(cm)=(Sigmam_(i)x_(i))/(Sigmam_(i))=(5(1)+3(-1)+2(2)+4(-1))/(5+3+2+4)=(2)/(14)=(1)/(7)m`
`y_(cm)=(Sigmam_(i)y_(i))/(Sigmam_(i))=(5(6)+3(5)+2(-3)+4(-4))/(5+3+2+4)=(23)/(14)m`
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Knowledge Check

  • A system consists of 3 particles each of mass m located at points (1, 1), (2, 2) and (3, 3). The coordinates of the centre of mass are

    A
    (6,6)
    B
    (3,3)
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    A
    `(-(15)/(7),(85)/(17),(1)/(7))cm`
    B
    `((15)/(7),-(85)/(17),(1)/(7))cm`
    C
    `((15)/(7),(85)/(21),-(1)/(7))cm`
    D
    `((15)/(7),(85)/(21),(7)/(3))cm`

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    C
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    D
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