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 m 2 .

Step-by-step solution

61 = 2 . 4 ℓ = 0 . 4   m sin   60 ° = r ℓ r = 1   sin   60 ° = ℓ 3 2 MOI, I = m ℓ 2 12 + m r 2 6 = m ℓ 2 12 + m ℓ 3 2 2 6 = 5   m l 2 = 5 × 1 × 0 . 16 = 0 . 8 I = 8 × 10 - 1   kg   m 2