To check stability, a weight of 10 tons is...

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Question 1 of 2066636eec28f7522a1c51c0ca

To check stability, a weight of 10 tons is lifted with the jumbo boom whose head is 45 ft. from the ship's centerline. The clinometer show's a list of 5.0° with weight suspended. Displacement including the weight is 9,000 tons. What would be the GM in this condition?

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Question 1 of 20

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🔍 Key Concepts

• Use the heeling moment created by the weight on the boom: weight × horizontal distance from centerline • Relate the heeling moment to displacement, GM, and heel angle using the small‑angle stability relationship • Remember that tan(list angle) (in radians or degrees via tangent) is used when connecting moment to GM

💭 Think About

• First, calculate the transverse heeling moment produced by the lifted weight using the given 10 tons and 45 ft • Then, write the stability equation that links heeling moment, displacement, GM, and heel angle for small angles of heel; solve that equation for GM • Be careful to use the tangent of 5° (not 5 itself) and keep all units consistent (tons, feet)

✅ Before You Answer

• Verify you are using w × distance from centerline (not the boom length or height) for the heeling moment • Confirm that you are using displacement including the lifted weight (9,000 tons) in your GM equation • Double‑check that you converted the 5.0° list to tan(5°) in your calculation before solving for GM

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