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AIIMS 2006
Exam
AIIMS
Year
2006
Subject
Physics
Chapter
Rotational Motion

AIIMS 2006 · Physics · Rotational Motion

The moment of inertia of a rod about an axis through its centre and...

The moment of inertia of a rod about an axis through its centre and perpendicular to it is 112ML2\frac{1}{12} M L^2 (where MM is the mass and LL, the length of the rod). The rod is bent in the middle so that the two halves make an angle of 60∘60^{\circ}. The moment of inertia of the bent rod about the same axis would beThe moment of inertia of a rod about an axis through its centre and perpendicular to it is (1)/(12) M L^2 (where M isThe moment of inertia of a rod about an axis through its centre and perpendicular to it is (1)/(12) M L^2 (where M is

Options

  1. A148ML2\frac{1}{48} M L^2
  2. B112ML2\frac{1}{12} M L^2
  3. C124ML2\frac{1}{24} M L^2
  4. DML283\frac{M L^2}{8 \sqrt{3}}.

Correct answer

B. 112ML2\frac{1}{12} M L^2

Step-by-step solution

Moment of inertia of uniform rod about one end =ML23=\frac{M L^2}{3}. ∴\therefore Moment of inertia of a rod about an axis passing through OO and perpendicular to the plane of the rod will be =2(M2)(L/2)23=ML24×3=ML212\left(\frac{M}{2}\right) \frac{(L / 2)^2}{3}=\frac{M L^2}{4 \times 3}=\frac{M L^2}{12}The moment of inertia of a rod about an axis through its centre and perpendicular to it is (1)/(12) M L^2 (where M is
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