A cylindrical log of radius 0.2 meter, 5 meters in length, and with a mass of 50 kilograms is placed vertically in a lake so that it is free to bob up and down. Assume that there is no water resistance. A weight of 50 kilograms of negligible volume is attached to the bottom of the log so that it remains vertical (so the total mass of the log and weight together is 100 kilograms). The mass density of water is 1000 kilograms per cubic meter. (For convenience, assume that the acceleration due to gravity is g
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Asquare 1m x 1m plate is shown below. all four of its edges are kept at 0 co. at t=0the temperature distribution is given by: y xtsins n75)=.a) using separation of variables determine the temperature distribution t(x,y,t)along the plate at any time t.b) discretize the heat conduction equation +=22222 txtusing a second-order centered difference scheme for the two second derivatives and a first-order forward euler scheme for the first derivative. using von neumann stability analysis, determine the stability criterion for the proposed discretization scheme in terms of , hand t. solve for the maximum allowable time step tmax
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A cylindrical log of radius 0.2 meter, 5 meters in length, and with a mass of 50 kilograms is placed...
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