Consider a uniform wire of mass M and length L . It is bent into a semicircle. Its moment of inertia about a…

Consider a uniform wire of mass M and length L. It is bent into a semicircle. Its moment of inertia about a line perpendicular to the plane of the wire passing through the centre is :
  1. 14ML2π2
  2. 25ML2π2
  3. ML2π2
  4. 12ML2π2

Solution

πr=Lr=Lπ
I=Mr2=ML2π2

Asked in: JEE Main 2021 (18 Mar Shift 2)

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