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JEE Main 202427 JanuaryEvening Shift
Exam
JEE Main
Year
2024
Date
27 January
Shift
Evening Shift
Subject
Physics
Chapter
Rotational Motion

JEE Main 2024 · 27 January · Evening Shift · Physics · Rotational Motion

A heavy iron bar of weight 12kg is having its one end on the ground...

A heavy iron bar of weight 12kg12kg is having its one end on the ground and the other on the shoulder of a man. The rod makes an angle 60°60 ° with the horizontal, the normal force applied by the man on bar is:A heavy iron bar of weight 12kg is having its one end on the ground and the other on the shoulder of a man. The rod

Options

  1. A6kg−wt6kg - wt
  2. B12kg−wt12kg - wt
  3. C3kg−wt3kg - wt
  4. D63kg−wt6\sqrt{3}kg - wt

Correct answer

C. 3kg−wt3kg - wt

Step-by-step solution

Let's consider the following diagram:

A heavy iron bar of weight 12kg is having its one end on the ground and the other on the shoulder of a man. The rod

For the equilibrium of the system, the net torque, according to the above figure, on the system about point AA should be zero.

With reference to the above figure, the net anti-clockwise torque about AA is

τa=F2L...(1){τ}_{a} = {F}_{2}L . . . \left(1\right)

And, the net clockwise torque about the same point is

τc=Wcosθ×L2...(2){τ}_{c} = Wcos\theta \times \dfrac{L}{2} . . . \left(2\right)

Equations (1) and (2) imply that

Wcos\theta \times \dfrac{L}{2} = {F}_{2}L ⇒ 12 \times 10 \times \cos 60 ° \times \left(\dfrac{L}{2}\right) = {F}_{2}L ⇒ {F}_{2} = \dfrac{120 \times 10 \times \cos 60 °}{2} = 30</p><p>Hence,therequiredweightcanbeexpressedas</p><p></p><p>Hence, the required weight can be expressed as</p><p>{F}_{2} = 3kg - wt$

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