O Levels Physics (5054)•5054/12/M/J/24

Explanation
Moment equilibrium about the jib's center of gravity P
Steps:
- Calculate moment from counterweight about P: 5800 N × 2.3 m (assuming P at tower, counterweight distance from P).
- For zero net moment about P, load moment must balance: 2300 N × d = 5800 N × 2.3 m.
- Solve for d: d = (5800 × 2.3) / 2300 = 2.5 × 2.3 = 5.75 m ≈ 5.8 m.
- This distance places the load such that torques cancel.
Why C is correct:
- 5.8 m satisfies the moment equilibrium condition, where clockwise and counterclockwise torques about P are equal per the principle of moments (∑τ = 0).
Why the others are wrong:
- A: 0.91 m inverts the force ratio, swapping load and counterweight effects.
- B: 3.5 m adds distances without applying torque balance.
- D: 8.1 m uses incorrect ratio, like doubling the counterweight distance.
Final answer: C
Topic: Turning effect of forces
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