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 \( \omega = 12\ \text{rad/s} \). The waves acting on the ship hull induce 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 ________ \text{N.m} (round off to the nearest integer).
