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The spool of tape shown and its frame assembly are pulled upward at a speed vA=100 mm/s. Knowing that end B of the tape is pulled downward witha velocity of 300 mm/s and that at the instant of the total thickness of the tape on the spool is 20 mm, determine (a) the instantaneous center of rotation of the spool, (b) the velocity of point D of the spool.
If the flowrate is Q = 25 ft^3/s and the upstream depth is 2 ft, determine the downstream depth. Sketch the specific energy diagram and indicate its important characteristics. Note that the specific discharges are different.
If clean groundwater flows through an aquifer contaminated with a dense non- aqueous phase liquid (DNAPL), calculate the concentration of DNAPL in the water as a function of time if the DNAPL is dissolving into the water at a rate of k1
The beam is simply supported and spans 25 feet. The beam must be designed for a superimposed uniformly distributed dead load of 1 kip/ft, and a concentrated live load of 12 kips that acts 10 feet from one of the supports.
The crane hoists a uniformly distributed load C. the two identical motors at A an power through gearboxes operating at maximum output speed of 100 rpm.the load is lifted by winding cable onto spindles attached to the output shaft of each gear box.
A 1.2-in. rainfall occurs in a 6-hour duration. If this represents an exceedence probability of 10%, what is the probability it will be equaled or exceeded at least once in the next 3 years. What is the probability it will be equaled or exceeded e..
An engineer is to design a channel lined with planed wood to carry 2 m3/s of water on a given slope. The channel cross section can be either a 90 degree triangle or a square. Which would require less wood and by what percentage
At the moment when A passes P, the police car begines to accelerate at the constant rate of 6m/s^2 until a speed of 160km/h is achieved, and that speed is then maintained.
The motion is described by the second Newton's law: m(d^2y/dt^2) + a(dy/dt) + ky = 0 where y is the body displacement in m, t is the time in s, a > 0 is the friction coeffcient in kg/s and k is the spring constant in kg/s2.
A laboratory consolidation test was performed on a clayey soil specimen, which was drained on both top and bottom. The time for 50% consolidation was 6.2 minutes, and the specimen's thickness at 50% consolidation was 0.740 in.
To float a 160 pound man using helium balloons (assume 0.52 cubic feet per inflated balloon). How many balloons would it take? Assume density of air is 1.29 kg/cubic meter and the density of helium is 0.179 kg/cubic meter.
Traffic data collected at the same time indicated an average time headway of 4 sec. Determine the (a) density on the highway (b) flow on the road (c) space mean speed.
Consider a small town in the Phillippines, where the average weight of people is 55 kg, and the average lifespan is 60 years. The people here eat lots of fish due to abundant availability from the local river.
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