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NEET 2011
Exam
NEET
Year
2011
Subject
Physics
Chapter
Rotational Motion

NEET 2011 · Physics · Rotational Motion

The moment of inertia of a thin uniform rod of mass M and length L...

The moment of inertia of a thin uniform rod of mass MM and length LL about an axis passing through its mid-point and perpendicular to its length is I0I_0. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is

Options

  1. AI0+ML2/4I_0+M L^2 / 4
  2. BI0+2ML2I_0+2 M L^2
  3. CI0+ML2I_0+M L^2
  4. DI0+ML2/2I_0+M L^2 / 2

Correct answer

A. I0+ML2/4I_0+M L^2 / 4

Step-by-step solution

The theorem of parallel axis for moment of inertia. I=ICM+Mh2I=I0+M(L2)2\begin{aligned}& I=I_{\mathrm{CM}}+M h² \\ & I=I_0+M\left(\frac{L}{2}\right)^2 \end{aligned}I=I_0+$\frac{M L^2}{4}
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