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

A heavy iron bar, of weight \(\mathrm{W}\) is having its one end on the ground and the other on the shoulder of a person. The bar makes an angle \(\theta\) with the horizontal. The weight experienced by the person is _______.

  1. A \(\frac{W}{2}\)
  2. B \(W\)
  3. C \(\mathrm{W} \cos \theta\)
  4. D \(\mathrm{W} \sin \theta\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{W}{2}\)

Step-by-step Solution

Detailed explanation

\(R=\) net reaction force by shoulder Balancing torque about pt of contact on ground: \(\mathrm{W}\left(\frac{\mathrm{L}}{2} \cos \theta\right)=\mathrm{R}(\mathrm{L} \cos \theta)\) \(\Rightarrow \mathrm{R}=\frac{\mathrm{W}}{2}\)