Step 1: Understand the concept of strip theory.
Strip theory is a two-dimensional hydrodynamic theory used in naval architecture. It simplifies the three-dimensional body of a ship into two-dimensional cross-sections (strips) to analyze hydrodynamic forces and added masses. It is particularly useful for analyzing motions such as heave, pitch, sway, roll, and yaw in a linearized form.
Step 2: Analyze the given statements.
Statement (A): Incorrect. Strip theory does not calculate the surge added mass directly, as surge involves longitudinal motion, which requires a fully three-dimensional analysis.
Statement (B): Correct. Strip theory is a two-dimensional approach, analyzing individual cross-sections of a ship rather than the entire three-dimensional structure.
Statement (C): Correct. Strip theory can calculate added masses for vertical motions such as pitch and heave, as these involve hydrodynamic interactions captured in two-dimensional cross-sections.
Statement (D):Correct. Strip theory can handle coupled motions like sway, roll, and yaw by approximating the interactions using cross-sectional hydrodynamics.
Conclusion: The correct statements about strip theory are: (B) It is a two-dimensional theory.
(C) It can be used to calculate the pitch added mass.
(D) It can be used to calculate the coupled sway, roll, and yaw added mass.
A steel deck plate of a tanker is supported by two longitudinal stiffeners as shown in the figure. The width of the plate is \( a \) and its length is 5 times the width. Assume that the long edge is simply supported, and the short edge is free. The plate is loaded by a distributed pressure, \( p = p_0 \sin\left(\frac{\pi y}{a}\right) \), where \( p_0 \) is the pressure at \( y = a/2 \). The flexural rigidity of the plate is \( D \). The plate equation is given by
Consider the matrices
\( M = \begin{pmatrix}
2 & 1 \\
0 & 2
\end{pmatrix} \)
\( N = \begin{pmatrix}
1 & 0 & 0 \\
1 & 2 & 0 \\
1 & 1 & 0
\end{pmatrix} \)
Which one of the following is true?
A ship with a standard right-handed coordinate system has positive \(x\), \(y\), and \(z\) axes respectively pointing towards bow, starboard, and down as shown in the figure. If the ship takes a starboard turn, then the drift angle, sway velocity, and the heel angle of the ship for a steady yaw rate respectively are:
Bird : Nest :: Bee : __________
Select the correct option to complete the analogy.
A closed system is undergoing a reversible process 1–P–2 from state 1 to 2, as shown in the figure, where X and Y are thermodynamic properties. An irreversible process 2–Q–1 brings the system back from 2 to 1. The net change in entropy of the system and surroundings during the above-mentioned cycle are _______ respectively.
A ship of 3300 tonne displacement is undergoing an inclining experiment in seawater of density 1025 kg/m\(^3\). A mass of 6 tonne is displaced transversely by 12 m as shown in the figure. This results in a 0.12 m deflection of a 11 m long pendulum suspended from the centerline. The transverse metacenter of the ship is located at 7.25 m above the keel.
The distance of the center of gravity from the keel is ________ m (rounded off to two decimal places).