The turbine rotor in a ship's power plant has a mass of \(1000 \mathrm{~kg}\), with center of mass at \(G\) and a radius of gyration of \(200 \mathrm{~mm}\). The rotor shaft is mounted in bearings \(A\) and \(B\) with its axis in the horizontal fore-and-aft direction and turns counterclockwise at a speed of \(5000 \mathrm{rev} / \mathrm{min}\) when viewed from the stern. Determine the vertical components of the bearing reactions at \(A\) and \(B\) if the ship is making a turn to port (left) of \(400-\mathrm{m}\) radius at a speed of 25 knots \((1 \mathrm{knot}=0.514 \mathrm{~m} / \mathrm{s})\). Does the bow of the ship tend to rise or fall because of the gyroscopic action?

Transcribed Image Text:

A RA G Port (left) B Forward 600 900 mm mm RB Starboard (right)