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MHT CET202016 Oct 2020Evening ShiftPhysicsRotational MotionActual

A thin uniform rod has mass 'M' and length 'L'. The moment of inertia about an axis perpendicular to it and passing through the point at a distance L 3 from one of its ends, will be

Options

  1. AML ² 12
  2. B7 8 ML ²
  3. CML ² 9
  4. DML ² 3

Correct answer

C. ML ² 9

Step-by-step solution

(B) aligned I &= I ₀+ Mh ² ~h &= L 2 - L 3 = L 6 I &= ML ² 12 + Mh ² &= ML ² 12 + ML ² 36 &= 4 ML ² 36 = ML ² 9 aligned

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