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A large number of particles are placed a...

A large number of particles are placed around the origin each at a distance R from the origin. The distance of the centre of mass of the system from the origin is

A

`=R`

B

`leR`

C

`gtR`

D

`geR`

Text Solution

Verified by Experts

The correct Answer is:
B
If the particles are uniformly placed at a distance R from the origin then the centre of mass will be situated at the origin. Again, when all the particles are placed at a distance R from the origin at one side of it, then the centre of mass will be situated at a distance of R from the origin. For any other kind of mass distribution, the centre of mass will be situated between the origin and R.
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Knowledge Check

  • All the particles of a body are situated at a distance R from the origin. The distance of the centre of mass of the body from the origin is

    A
    `=R`
    B
    `leR`
    C
    `gtR`
    D
    `geR`

  • The distance of the straight line a(x-a)+b(y-b)=0 from the origin is -

    A
    `sqrt(a^(2)+b^(2))` unit
    B
    a unit
    C
    b unit
    D
    none of these

  • Two particles each of mass 1 g are placed at distance of 1 m and 3 m respectively from the origin along x-axis. The centre of mass of the system from the origin is

    A
    1 m
    B
    2 m
    C
    2.5 m
    D
    3.5 m

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