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What is the moment of inertia of a trian...

What is the moment of inertia of a triangular plate `ABC` of mass `M` and side `BC='a'` about a axis passing through `A` and perpedicular to the plane of the plate?

A

`(Ma^(2))/6`

B

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

C

`(Ma^(2))/24`

D

`(Ma^(2))/12`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through the centre O and perpendicular to plate is

    A
    `l_(1)+l_(2)`
    B
    `l_(2)+l_(3)`
    C
    `l_(1)+l_(3)`
    D
    `l_(3)+l_(4)`

  • The moment of inertia of a thin square plate ABCD, fig, of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate is where l_1, l_2, l_3 and l_4 are respectively the moments of intertial about axis 1,2,3 and 4 which are in the plane of the plate.

    A
    `l_1 + l_2`
    B
    `l_3 + l_4`
    C
    `l_1 + l_3`
    D
    `l_1 + l_2 + l_3 + l_4`

  • Moment of inertia of a ring of mass M and radius R about an axis passing through the centre and perpendicular to the plane is

    A
    `1//2MR^(2)`
    B
    `MR^(2)`
    C
    `1//4MR^(2)`
    D
    `3//4 MR^(2)`

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