List of top Naval Architecture and Ocean Engineering Questions on Seakeeping asked in GATE NM

The RAO (Response Amplitude Operator) of a floating body with no forward speed is denoted by \(H(\omega)\).

If it encounters a wave spectrum \(S(\omega)\), then its response spectrum is ______.

A ship undergoing harmonic oscillation has an uncoupled heave motion, \(\eta_3(t)\), governed by the following equation
\[ (M + A_{33})\,\ddot{\eta}_3(t) + B_{33}\,\dot{\eta}_3(t) + K_{33}\eta_3(t) = f_3(t) \]
If \(F_3(\omega)\) is the Fourier transform of \(f_3(t)\), then the response in the frequency domain can be written as ______.

A ship is moving at 10 m/s in head sea condition. A person on board counts the time period between two successive wave crests as \(\pi\) seconds.
The frequency of the incoming wave is ______ rad/s (answer in integer).
Assume g = 10 m/s\(^2\).