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Given the binary variables x1,x2,x3,x4 and x5, formulate a set of constraints that will enforce x3,x4, and x5 to equal one if x1=1 and x2=0.
A large rock became visible to a driver at a distance of 175 ft. Assuming a perception-reaction time of 0.8s, an initial speed of 42 mph, a coefficient of friction equal to 0.5, and a level roadway, calculate the speed at impact.
A water tank has a height of 120m, and its area of cross-section is 2000m. Water is released from the tank and the water level drops by 1 meter every minute. Find the rate of change in volume.
Assume the plane is flying at an altitude of 32,810 ft (10 km), where the temperature is -8 C and the pressure is 250 mb. The Pitot-static tube measures a piezometric pressure difference corresponding to 1.206 psi. What is the airspeed in both m/s..
An industrial plant presently discharges a chemical (W=2000 * 106 gr/yr) to the lake. In addition, the inflow stream also contains the same chemical at a concentration of 15 mg/L. Note that the volumetric inflow and outflow are equal.
Determine the projected component of the force fac along the axis of strut ao. Express the result as a cartesian vector.
Determine the diameter of glass tubing that is necessary for the capillary rise to be less than 0.5 mm. Assume the fluid is water with surface tension equal to 0.0728 N/m and specific weight equal to 9800 N/m3
A stockpile of gravel that has a water content of 6% is rained on so that its water content increases to 9%. Compute the difference in the weights of dry gravel in a 10 ton truckload taken from the pile before and after the rain.
If you were asked to perform an excavation contract competitively with limited data, what type of contract would you want and why?
Draw the FBD and the shear and bending moment diagrams. Label all minimums, maximums and zero crossing points as well as the slopes as constant, linear or parabolic.
Should Bernard bid for the project assignment? Why or why not? Does Bernard have an unfair advantage over firms having designed the project on which he wants to bid?
Consider two alternative water resource projects, A and B. Project A will cost $2,533,000 and will return $1,000,000 at the end of 5 years and $4,000,000 at the end of 10 years.
A distance of 200 ft must be taped in a manner to ensure a standard deviation smaller than ± 0.03 ft. What must be the standard deviation per 100 ft tape length to achieve the desired precision?
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