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A particle travels along a path defined by the parabola y=0.5x^2. If the component of velocity along the axis is Vx=6t with t in seconds. determine the particle's distance from the oriigin which is at t=3s... when t=0, x=0, and y=0. also determine the magnitude of acceleration when t=3, x and y are in ft.
A canal was constructed running parallel to a river 1500 ft away. Both fully penetrate a sand aquifer with a hydraulic conductivity of 1.2 ft/d. The area is subject to rainfall of 1.8 ft/y and evaporation of 1.3 ft/y.
Design a hardwood beam to support a uniformly distributed load of 20 kN over a simply supported span of 8 m. consider bending strength only. Assume that the weight of the beam is 2 kN.
A beam must carry a total factored bending moment of 1062kN-m. It has a maximum beam effective depth of 25in. Design the beam in US customary units using f’c=4ksi and fy=413.4MPa. If necessary use d’=2.5in. Assume an exterior exposure according to AC..
ABC is a triangular tract of land. The 1.5 tract DEFG is to be subdivided. AE is 480ft and DC is 350 ft. Determine the lengths of DG and CB. (Note 1 acre= 43,560 f^2)
The microstructure of an iron-carbon alloy consistsof proeutectoid ferrite and pearlite; the mass fractions of thesetwo microconstituents are 0.174 and 0.826, respectively. Determinethe concentration of carbon in this alloy.
a symmetric compound channel in over bank flow has a main channel with a bottom width of 30 m side slopes of 11 and a
The 2kg block A and the 5kg block B are initially at rest on the inclined plane at 20 degrees. All surfaces in this system have a coefficient of static friction of 0.6 , and a coefficient of kinetic friction of 0.4.
A reverse osmosis plant desalinates 5X10^6 L/day of feedwater containing 1500 mg/L of salts, yielding 3X10^6 L/day of product water with 75 mg?l of salt. What would the salt concentration be in the brine?
Assume excavation costs at $100/m3, side lining costs at $50/m2, and cover cost at 25/m2. Determine the dimensions of the pit that minimize cost -If the side slope is unconstrained and -If the side slope must me less than 450
A sample of soil was compacted into a 945 ml.laboratory mold. The mass of the compacted soil was 1850 grams and its moisture content was 13.1%. Specific gravity of solids is 2.70, Compute the moist unit weight, dry unit weight, and degree of satu..
The skateboard rider leaves the ramp at A with an initial Velocity Va at a 30 degree angle. If he strikes the ground at B, determine Va and the time of the flight.
A belt is wrapped around a pulley for 180 degrees. The loose-side belt tension is 100 lb and the coefficient of static friction is 0.30. Calculate the maximum belt tension if motion is impending. Assume A) a flat belt and B) a V-belt with a groobe an..
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