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Three point masses, each of mass m, are ...

Three point masses, each of mass `m`, are placed at the corners of an equilateral triangle of side `L`. The moment of inertia of this system about an axis along one side of the triangle is

A

`mL^(2)`

B

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

C

`3mL^(2)`

D

`(3mL^(2))/(2)`

Text Solution

Verified by Experts


`I=m((sqrt3L)/(2))^(2)=(3mL^(2))/(4)`
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Knowledge Check

  • Three point masses, each of mass m, are placed at the corner of an equilateral triangle of side 1. Then the moment of inertia of this system about an axis along one side of the triangle is

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

  • Three point masses each of mass are placed at the corners of an equilateral triangle of side a. Then the moment of inertia of this system about an axis passing along one side of the triangle is

    A
    `ma^(2)`
    B
    `3ma^(2)`
    C
    `(3)/(4)ma^(2)`
    D
    `(2)/(3)ma^(2)`

  • Three point masses, each of mass 2kg are placed at the corners of an equilateral triangle of side 2m. What is moment of inertia of this system about an axis along one side of a triangle?

    A
    `2kg m^(2)`
    B
    `4 kg m^(2)`
    C
    `6 kg m^(2)`
    D
    `8 kg m^(2)`
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