Homework #3 1) For the uniform beam box barge L=100’, B=40’, T=10’calculate the Heave and Pitch natural frequencies

Homework #3 1) For the uniform beam box barge L=100’, B=40’, T=10’calculate the Heave and Pitch natural frequencies. Include the added mass using Vugt’s results below. Also calculate the damping ratio using Vugt’s radiated wave damping. 2)Graduate Students ONLY: For the equilateral triangle waterplane wall-sided barge calculate the coupled heave pitch natural frequencies using the techniques of Chapter 5 of Thomsen textbook. Ignore added mass and damping and only consider physical mass and inertia dynamic coupling and hydrostatic static coupling. 3) For the uniform cross-section box barge, plot the Heave Froude Krylov wave exciting force and locate the heave natural frequency on that plot.