Question

The figure shows an arrangement of a heavy propeller shaft in a ship. The combined polar mass moment of inertia of the propeller and the shaft is 100 kg.m2. The propeller rotates at ω = 12 rad/s. The waves acting on the ship hull induces a rolling motion as shown in the figure with an angular velocity of 5 rad/s. The gyroscopic moment generated on the shaft due to the motion described is ______ N.m. (round of to the nearest integer).

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Answer :

Correct answer is : 6000

l = 100 kgm2

ω = 12 rad/s

ωp = 5 rad/s

Gyroscopic couple 100 x 12 x 5 = 6000 Nm

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