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Three particles, each of mass m are situ...

Three particles, each of mass m are situated at the vertices of an equilateral triangle ABC of side `l` (as shown in the figure).

The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC, will be:

A

`2ml^(2)`

B

`(5)/(4)ml^(2)`

C

`(3)/(2)ml^(2)`

D

`(3)/(4)ml^(2)`

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Knowledge Check

  • Three particles, each of mass m grams situated at the vertices of an equilateral triangle AbC of side I cm (as shown in the figure). The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC , in gram-cm^2 units will be. .

    A
    `(3//4) ml^2`
    B
    `2 m l^2`
    C
    `(5//4) m l^2`
    D
    `(3//2)m l^2`

  • Three particles of equal mass 'm' are situated at the vertices of an equilateral triangle of side L . The work done in increasing the side of the triangle to 2L is

    A
    `(2G^(2)m)/(2L)`
    B
    `(Gm^(2))/(2L)`
    C
    `(3Gm^(2))/2L`
    D
    `(3Gm^(2))/(L)`

  • 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

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