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Three identical spheres of mass m each a...

Three identical spheres of mass m each are placed at the corners of an equilateral triangle of side 2m taking one of the corner as the origin the position vector of the centre of mass is

A

`sqrt3(I cap-j cap)`

B

`I cap/sqrt3+j cap`

C

`(I cap+j cap)/3`

D

`I cap+j cap/sqrt3`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • Three identical spheres of mass M each are placed at the corners of an equilateral triangle of side 2 m. Taking one of the corners as the origin, the position vector of the centre of mass is

    A
    `sqrt3(hati-hatj)`
    B
    `(hati)/(sqrt3)+hatj`
    C
    `hati+hatj//3`
    D
    `hati+hatj//sqrt3`
  • Three particle each of mass m are placed at the corners of equilateral triangle of side l Which of the following is/are correct ?

    A
    Moment of inertia about axis '1' is `(5)/(4)ml^(2)`
    B
    Moment of inertia about axis '2' is `(3)/(4)ml^(2)`
    C
    Moment of inertia about an axis passing through one corner and perpendicular to the plane is `2ml^(2)`
    D
    All of these
  • Three charges each 20muC are placed at the corners of an equilateral triangle of side 0.4m The potential energy of the system is

    A
    `18xx10^(-6)J`
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    `9J`
    C
    `9xx10^(-6)J`
    D
    `27J`
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