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A line passes through the points (22 m, 19 m) and (-2 m,-5 m). determine the perpendicular distance d from the line to the origin O of the system of coordinates.
A particular crest vertical curve has long been criticized as being unsafe. Its length is 400 ft. The prevailing speed on the crest vertical curve is 50 mph. In its present condition, its tangent grades are +2% and -3%.
A 1.6-m wide rectangular channel carries 1.8 m3/s at a depth of 0.85 m. The channel undergoes a smooth transition in which the channel bottom rises 15 cm and contracts to a width of 1.3 m. Assuming friction losses are negligible, determine the dep..
The uniform 30 kg bar OB is secured to the accelerating frame in the 30 degree position from the horizontal by the hinge at O and roller at A. if the horizontal acceleration of the frame is a equals 20 m/s^2
The flow depth and velocity before the jumo are 0.8 m and 7 m/s respectively. The flow depth and velocity after the jump are 2.46 m and 2.28 m/s respectivly. Assuming a flat channel, determine a) the energy loss due to the jump, hl (head loss)
What is the elongation of a rectangular bar (cross section 2 inch * 2 inch length 4 ft) When it is subjected to an axial load of 80,000 lbs. Assume the material of the bar has the following properties G = 7,700 KSI, V =0.30
Ammonium (NH4+) is a weak acid with a pKa of 9.26. The dissociation is: NH+4 NH3 + H+. Calculate the mass of ammonium added to 1 L of water in order to obtain a pH of 4 at equilibrium.
During a particular 30-day period, the streamflow flowing into a reservoir averaged 5.0 m3/s. Water supply withdrawals from the reservoir averaged 136 mgd. The only other outflow from the reservoir was 9.4 cm of evaporation from the water surface.
Theis Method plot drawdown vs. time for 4 observation wells, 5, 50, 100, 500 meters from well pumping at constant rate of 300 m^3/day in sandy confined aquifer. b=12 m, K=25 m/day, and S=10^-4.
a rectangular reinforced concrete beam carries service loads on a span of 20 ft as shown. use f'c = 3000psi and fy = 60000 psi; b = 14.5 in, h = 26 in, and reinforcing is three number 10 bars.
Biota can uptake and bioconcentrate compounds through vapor phase absorption. For example, leaves exposed to elemental mercury vapors will absorb the mercury into the aqueous phase and the lipid phases of the leaves. Kow for mercury = 4.17.
A vehicle is traveling on a curved section of a road of radius 2500 feet at a speed of 60 mi/h. The motorist suddenly applies their brakes, causing the automobile to slow down at a constant rate. After 8 seconds the speed has been reduced to 45 mi..
a delivery company accepts only rectangular boxes the sum of whose length and girth (perimeter of a cross section) are equal to 108cm. find the dimensions of an acceptable box of a largest area.
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