A uniform thin bar of mass 6   kg and length 2 . 4 meter is bent to make an equilateral hexagon. The…

A uniform thin bar of mass 6 kg and length 2.4 meter is bent to make an equilateral hexagon. The moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of hexagon is ___________ ×10-1 kg m2.

Solution

61=2.4 ℓ=0.4 m

sin 60°=rℓ

r=1 sin 60°=ℓ32

MOI, I=mℓ212+mr26

=mℓ212+mℓ3226

=5 ml2

=5×1×0.16

=0.8

I=8×10-1 kg m2

Asked in: JEE Main 2021 (24 Feb Shift 2)

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