JEE MainPhysicsRotational MotionMCQ+4 / −1
A heavy iron bar of weight is having its one end on the ground and the other on the shoulder of a man. The rod makes an angle with the horizontal, the weight experienced by the man is :
- A
- B
- C
- D
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Correct answer: B: $6 \MATHRM{~KG}$
- Understand the setup
A uniform heavy iron bar has:
- one end on the ground,
- the other end on the man's shoulder,
- inclination with horizontal ,
- weight of bar .
We need the load supported by the man.
- Forces acting on the bar
Since the bar is uniform, its weight acts at its midpoint.
Let:
- lower end on ground be point ,
- upper end on shoulder be point ,
- length of rod be .
For vertical equilibrium:
- upward reaction from ground at = ,
- upward force from man's shoulder at = ,
- downward weight at midpoint = kg-wt.
So,
- Take moments about the ground end
This eliminates .
- Weight acts at midpoint, whose horizontal distance from is
- Force by man acts at , whose horizontal distance from is
Both forces are vertical, so their moment arms are these horizontal distances.
Balancing moments about :
Cancel from both sides:
- Interpretation
Thus the man supports a load of
- Check options
- A: kg ✗
- B: kg ✓
- C: kg ✗
- D: kg ✗
Therefore, the correct option is B.
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