A rectangular channel has a width of 9 meters and is flowing at a temperature of 20 degrees Celsius. Using the flow rates of 2 m3 /s, 4 m3 /s, and 6 m3 /s a) Plot the specific energy curve (depth versus energy) for each flow rate. Make sure that the curves encompass both subcritical and supercritical sections (both axes should be from 0-1 and Please see the note above regarding plots. Provide sample calculations for the specific energy of Q = 4 m3 /s y=0.2 m b) Using the curves, estimate the critical depths for each flow rate. Compare these values to the critical depth computed using the standard equation as a check to whether or not the plot is correct.

Tom is having a problem with his washing machine. he notices that the machine vibrates violently at a frequency of 1500 rpm due to an unknown rotating unbalance. the machine is mounted on 4 springs each having a stiffness of 10 kn/m. tom wishes to add an undamped vibration absorber attached by a spring under the machine the machine working frequency ranges between 800 rpm to 2000 rpm and its total mass while loaded is assumed to be 80 kg. a) what should be the mass of the absorber added to the machine so that the natural frequency falls outside the working range? b) after a first trial of an absorber using a mass of 35 kg, the amplitude of the oscillation was found to be 10 cm. what is the value of the rotating unbalance? c) using me-3.5 kg.m, find the optimal absorber (by minimizing its mass). what would be the amplitude of the oscillation of the absorber?