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 makes an angle ? with the horizontal. The weight experienced by the person is

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Solution

Q.
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 makes an angle θ with the horizontal. The weight experienced by the person is _____. [2024]

1 $\frac{W}{2}$

2 $W$

3 $W$ $\cos$ $θ$

4 $W$ $\sin$ $θ$

Ans.
(1)

$N_{B} = net reaction force by shoulder.$

Balancing torque about point of contact $(A)$ on ground:

$W (\frac{L}{2} \cos θ) = N_{B} (L \cos θ)$

$\Rightarrow N_{B} = \frac{W}{2}$

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