6. A vessel of base area 100 cm x 60 cm and height 200 cm is completely filled with a liquid of density
1.1 x 103 kg m- 3.
(a) Ignoring the atmospheric pressure, find :
(i) the thrust at the bottom of the vessel,
(ii) the pressure at the bottom of the vessel,
(iii) the pressure at a depth of 5 cm from the free
surface,
(iv) the net force experienced by a metal foil of
area 10 cm² placed at a depth of 5 cm from
the free surface,
(b) The thrust at the bottom of the vessel if the
atmospheric pressure equal to 1 x 105 N m2 is
taken into account.
Take g = 9.8 m s-2

Find the steady-state temperature at the center of the plate = /2, = /2) for sums of w from n=1 to n=19 (only odd values). find the value of n for which the change in /2, /2) is less than 1% from the value at the previous n. at this point, we consider the solution converged. does the value of the temperature at the center seem reasonable? in this part, the values of x and y are constant scalar values. you should produce a plot of the value of n on the horizontal and the estimate of the temperature at the center of the plate on the vertical. b. using the value of n (or larger) that resulted in convergence in part (a), create a contourf plot of the temperature distribution across the entire plate. use enough spatial subdivisions to create a useful plot. comment on the results. hint: you need to determine what “x” and “y” values to use to make your t matrix. i recommend using a different number of x and y values. use enough x and y values so that the plot is “smooth”.