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A thin rod of mass 6 m and length 6L is ...

A thin rod of mass `6 m` and length `6L` is bent into regular hexagon. The `M.I.` of the hexagon about a normal axis to plane and through centre of system is

A

`ml^(2)`

B

`3mL^(2)`

C

`5mL^(2)`

D

`11 mL^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`I_(rod)=(ml^(2))/12+m((sqrt(3))/2l)^(2), I_("system")=6I_(rod)`
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Knowledge Check

  • A uniform thin bar of mass 6m and length 12L is bent to make a regular hexagon. Its moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of hexagon is

    A
    `20 mL^2`
    B
    `30 mL^2`
    C
    `((12)/(5)) mL^2`
    D
    `6 mL^2`

  • A uniform thin bar of mass 6 m and length 12 L is bend to make a regular hexagon. Its moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of the hexagon is :

    A
    `20 mL^2`
    B
    `6 mL^2`
    C
    `(12)/(5) mL^2`
    D
    `30 mL^2`

  • A thin rod of mass M and length L is bent into a circular ring. The expression for moment of inertia of ring about an axis passing through its diameter is

    A
    `(ML^(2))/(2pi^(2))`
    B
    `(ML^(2))/(4 pi^(2))`
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    D
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