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JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion

An \(L-\) shaped object, made of thin rods of uniform mass density, is suspended with a string as shown in figure. If \(AB = BC\), and the angle made by \(AB\) with downward vertical is \(\theta\) then

  1. A \(\tan \,\theta  = \frac{1}{{2\sqrt 3 }}\)
  2. B \(\tan \,\theta  = \frac{1}{3}\)
  3. C \(\tan \,\theta  = \frac{2}{{\sqrt 3 }}\)
  4. D \(\tan \,\theta  = \frac{1}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\tan \,\theta  = \frac{1}{3}\)

Step-by-step Solution

Detailed explanation

Lets considered mass of each rod is m for stable equilibrium the torque about point \(O\) should be zero. Torque balance about \(O\)…
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