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AP EAMCET2014PhysicsRotational Motion

A thin wire of length l having density is bent into a circular loop with C as its centre, as shown in figure. The moment of inertia of the loop about the line A B is

Options

  1. A5 l^3 16 ^2
  2. Bl^3 16 ^2
  3. Cl^3 8 ^2
  4. D3 l^3 8 ^2

Correct answer

D. 3 l^3 8 ^2

Step-by-step solution

The moment of inertia I= 3 2 m R^2 [ . Linear density = m l aligned m & =I 2 R & =I R & = I 2 I & = 3 2 I ( I 2 )^2 & = 3 2 4 I^3 ^2 & = 3 / ^3 8 ^2 aligned

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