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JEE Main 20249 AprilMorning Shift
Exam
JEE Main
Year
2024
Date
9 April
Shift
Morning Shift
Subject
Physics
Chapter
Rotational Motion

JEE Main 2024 · 9 April · Morning Shift · Physics · Rotational Motion

A heavy iron bar, of weight W is having its one end on the ground...

A heavy iron bar, of weight WW is having its one end on the ground and the other on the shoulder of a person. The bar makes an angle θ\theta with the horizontal. The weight experienced by the person is :A heavy iron bar, of weight W is having its one end on the ground and the other on the shoulder of a person. The bar

Options

  1. AWcos⁡θ\mathrm{W} \cos \theta
  2. BW2\frac{W}{2}
  3. CW
  4. DWsin⁡θW \sin \theta

Correct answer

B. W2\frac{W}{2}

Step-by-step solution

A heavy iron bar, of weight W is having its one end on the ground and the other on the shoulder of a person. The bar
R=R= net reaction force by shoulder Balancing torque about pt of contact on ground: W(L2cos⁡θ)=R(Lcos⁡θ)⇒R=W2\begin{aligned} & \mathrm{W}\left(\frac{\mathrm{L}}{2} \cos \theta\right)=\mathrm{R}(\mathrm{L} \cos \theta) \\ & \Rightarrow \mathrm{R}=\frac{\mathrm{W}}{2}\end{aligned}
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