The open water characteristics of a propeller is shown in the figure. Match the labels in Column 1 with the corresponding descriptions in Column 2.
Step 1: Analyze the graph. The graph represents the open water characteristics of a propeller. The axes are: - \( K_T \): Thrust coefficient, - \( 10K_Q \): Torque coefficient, - \( \eta_e \): Efficiency. Each labeled point corresponds to a specific operating condition of the propeller.
Step 2: Match the labels with their descriptions. O: Bollard pull condition (maximum thrust at zero speed). P: Feathering condition (propeller blades aligned with the flow to minimize drag). Q: Wind milling condition (propeller rotating due to external flow when not powered). R: Efficiency curve (shows the efficiency variation with operating conditions).
Conclusion: The correct match is \( \mathbf{O - I; P - II; Q - III; R - IV} \). The correct option is \( \mathbf{(A)} \).
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:
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).
A multi-cell midship section of a ship with \( B = 40 \, {m} \) and \( D = 20 \, {m} \) is shown in the figure. The shear-flows are given as \( q_1 = q_2 = q_3 = 0.9376 \, {MN/m} \). The applied twisting moment on the midship section is ___________ MN·m (rounded off to two decimal places).
Consider a weightless, frictionless piston with a 2 kg mass placed on it as shown in the figure. At equilibrium in position 1, the cylinder contains 0.1 kg of air. The piston cross-sectional area is 0.01 m2. The ambient pressure in the surroundings outside the piston-cylinder arrangement is 0 bar (absolute). When the mass above the piston is removed instantaneously, it moves up and hits the stop at position 2, which is 0.1 m above the initial position.
Assuming \( g = 9.81 \, {m/s}^2 \), the thermodynamic work done by the system during this process is ________ J (answer in integer).