A uniform thin bar of mass 6 kg and length 2.4 meter is bent to make an equilateral hexagon. The moment ofinertia about an axis passing through the centre of mass and perpendicular to the plane of he…

Question

A uniform thin bar of mass 6 kg and length 2.4 meter is bent to make an equilateral hexagon. The moment ofinertia about an axis passing through the centre of mass and perpendicular to the plane of hexagon is____ 10^-1 kgm^2

Accepted Answer

Correct answer: 8. 8 JEE Main 2021 MOI of AB about P :I_AB_p= M6 ( l6 )^212 MOI of AB about O ,I_ AB_O=( M6 ( l6 )^212+ M6 ( l6 32 )^2) I_ Hexagon_0=6I_ AB_0=M( l^212 36+ l^236 34) = 6100( 24 2412 36+ 24 2436 34) =0.8 kgm^2 =8 10^-2 kg/m^2

$A uniform thin bar of mass 6 kg and length 2.4 meter is bent to make an equilateral hexagon. The moment ofinertia about an axis passing through the centre of mass and perpendicular to the plane of hexagon is____\times 10^{- 1} kg m^{2}$

Solution

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