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A point mass m is located at (0,a). Wher...

A point mass m is located at (0,a). Where should the 2m mass be kept, so that centre of mass lies at origin

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The centre of mass of three particles of masses 1 kg, 2kg and 3 kg lies at the point (3m, 3m, 3m) where should a fourth particles of mass 4 kg be positioned so that centre of mass of the four particle system at (1m, 1m, 1m) ?

The centre of mass of three particles of masses 1kg, 2 kg and 3kg lies at the point (3m, 3m, 3m). Where should a fourth particle of mass 4 kg be positioned so that the centre of mass of the four particle system lies at the point (1m, 1m, 1m)?

Knowledge Check

  • The centre of mass of a body lies

    A
    on its surface
    B
    inside the body
    C
    outside the body
    D
    'b' and 'c'

  • A point object of mass m is kept at (a, 0) along x-axis. What mass should be kept at (-3a,0), so that centre of mass lies at origin ?

    A
    m
    B
    2m
    C
    `(m)/(3)`
    D
    3m

  • Centre of mass of 3 particles 10 kg, 20 kg and 20 kg is at(0,0,0). Where should a partile of mass 40 kg be placed so that the centre of mass of the combination will be at (3,3,3):

    A
    (0,0,0)
    B
    (7.5,7.5,7.5)
    C
    (1,2,3)
    D
    (4,4,4)

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    The coordinates of the centre of mass of a system of three particles of mass 1g,2g and 3g are (2,2,2). Where should a fourth particle of mass 4 g be positioned so that the centre of mass of the four particle system is at the origin of the three-dimensional coordinate system ?

    The centre of mass of three particles of mass 1 kg 2 kg and 3 kg is at bois (3.3. 3) with reference to a fixed coordinate system. Where should be fourth particle of mass 4 kg be placed, so that the centre of mass of the system of all particles shifts to a point (1.1, 1)?

    Centre of mass of three particles of masses 1 kg, 2 kg and 3 kg lies at the point (1, 2, 3) and centre of mass of another system of particles 3 kg and 2 kg lies at the point (-1, 3, -2). Where should we put a particle of mass 5 kg so that the centre of mass of entire system lies at the centre of mass of first system?

    Centre of mass of three particles of masses 1 kg, 2 kg and 3 kg lies at the point (1,2,3) and centre of mass of another system of particles 3 kg and 3 kg lies at the point (-1, 3, -2) . Where should we put a particle of mass 5 kg so that the centre of mass of entire system lies at the centre of mass of first system ?

    Centre of mass of 3 particles 10 kg, 20 kg and 30 kg is at (0, 0, 0). Where should a particle of mass 40 kg be placed so that the combined centre of mass will be at (3, 3, 3)?

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