Topic: Engineering Mechanics
A carton carrying vessel of mass 10 tons floats on water. If the vessel tilts by 0.01 radians by moving a 50 kg carton from the centre by 2m, the metacentric height is
- A. 1 m
- B. 3 m
- C. 1.5 m
- D. 2 m
Answer: A. 1 m
Explanation: The tilting moment is w * x = 50kg * 10m/s² * 2m = 1000 N-m. The restoring moment is W * GM * sin(θ) ≈ W * GM * θ. Equating them, 1000 = (10,000kg * 10m/s²) * GM * 0.01. This gives GM = 1000 / 1000 = 1 m.