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NEET 2009
Exam
NEET
Year
2009
Subject
Physics
Chapter
Rotational Motion

NEET 2009 · Physics · Rotational Motion

Four identical thin rods each of mass M and length l , from a...

Four identical thin rods each of mass MM and length ll, from a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is :

Options

  1. A13Ml2\frac{1}{3} \mathrm{M} l^2
  2. B43Ml2\frac{4}{3} \mathrm{M} l^2
  3. C23Ml2\frac{2}{3} \mathrm{M} l^2
  4. D133Ml2\frac{13}{3} \mathrm{M} l^2

Correct answer

B. 43Ml2\frac{4}{3} \mathrm{M} l^2

Step-by-step solution

\quad I=4 \times\left[\frac{M \ell^2}{12}+ M\left(\frac{\ell}{2}\right)^2\right] the parallel axis  theorem =43M\text{ theorem }=\frac{4}{3} \mathrm{M} \ell^2
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