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All the particles of a body situated at ...

All the particles of a body situated at distance `d` from the origin. The distance of the center of mass of the body from the origin is

A

`= d`

B

`le d`

C

`gt d`

D

`ge d`

Text Solution

Verified by Experts

The correct Answer is:
B
If particles are placed symmetrically , `c.m.` will be at the origin, i.e. `x_(c.m.) = y_(c.m.) = 0`
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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`

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

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

  • Two bodies of masses m_(1) and m_(2) are separated by a distance R. The distance of the centre of mass of the bodies from the mass m_(1) is

    A
    `(m_(2)R)/(m_(1)+m_(2))`
    B
    `(m_(1)R)/(m_(1)+m_(2))`
    C
    `(m_(1)m_(2))/(m_(1)+m_(2))R`
    D
    `(m_(1)+m_(2))/(m_(1))R`

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