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A thin rigid flat plate is partially immersed in a fluid and is constrained to rotate about a horizontal axis in its plane. When the plate performs small oscillations about the vertical a wave motion is set up which is studied in this paper. It is supposed that the plate is so wide that the motion can be treated as two-dimensional. An explicit expression is given for the amplitude at infinity of the wave motion; this is applied to the wave damping of the rolling motion of a ship. It is considered, however, that a flat plate is not in general a good approximation for this purpose. Further developments will be given in a later paper.

ON THE WAVES DUE TO THE ROLLING OF A SHIP