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AIIMS 2008
Exam
AIIMS
Year
2008
Subject
Physics
Chapter
Rotational Motion

AIIMS 2008 · Physics · Rotational Motion

Side of an equilateral triangle is l . Three point masses, each of...

Side of an equilateral triangle is ll. Three point masses, each of magnitude mm, are placed at the three vertices of the triangle. Moment of inertia of this system about one side of the triangle as axis is given by

Options

  1. A(\frac{3 m l^2}{4})
  2. B(\frac{4}{3} m l^2)
  3. C(\frac{3}{2} m l^2)
  4. D(\frac{2}{3} m l^2).

Correct answer

A. (\frac{3 m l^2}{4})

Step-by-step solution

Distance of corner mass from opposite side =r=rr2=l2−(l2)2=3l24I=mr2=34ml2\begin{aligned} & r^2=l^2-\left(\frac{l}{2}\right)^2=\frac{3 l^2}{4} \\ & I=m r^2=\frac{3}{4} m l^2\end{aligned}$$
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