All Problems

Dynamics of a solid body

Problem 1.288

A ship moves with velocity \(v=36 \mathrm{~km}\) per hour along an arc of a circle of radius \(R=200 \mathrm{~m} .\) Find the moment of the gyroscopic forces exerted on the bearings by the shaft with a flywheel whose moment of inertia relative to the rotation axis equals \(I\) \(=3.8 \cdot 10^{3} \mathrm{~kg} \cdot \mathrm{m}^{2}\) and whose rotation velocity \(n=300 \mathrm{rpm} .\) The rotation axis is oriented along the length of the ship.

Reveal Answer
N=2πnIv/R=6kNmN=2 \pi n I v / R=6 \mathrm{kN} \cdot \mathrm{m}