Computer · Fluid Mechanics
When a floating body is given a small angular displacement, it will oscillate about its metacentre. If T denotes the time period of rolling/oscillation (i.e., time for one complete oscillation) of the floating body, then what is the correct relation? (where GM is the metacentric height, k is the radius of gyration, and g is the acceleration due to gravity)
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1T = 2π√k2GM · g✓
- 2T = 2π√k3GM · g
- 3T = π√k3GM · g
- 4T = π√k2GM · g
Correct answer
T = 2π√k2GM · g
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