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A 45 kg machine is placed at the end of a 1.6 m long cantilever beam of elastic modulus 200 x 109 N/m and cross-sectional moment of inertia 1.6 x 10-5 m4. As it operates, the machine produces a harmonic force of magnitude 125 N. Determine the operating speeds of the machine at which the machine's steady-state amplitude is less than 0.2 mm. Take keq = 3 EI/L3.
Consider a highway section where traffic is stationary, all trucks travel at speed s and cars at speed v. If aerial surveillance revealed that trucks were a fraction p of the vehicles on a photograph
water from a treatment plant is pumped into distribution system at a rate of 4.38 m^3/sec, a pressure of 480 kpa and a temperature of 20 degree celcius. The pipe has a diameter of 750 mm and is made of ductile iron
A cylindrical specimen of a metal alloy is stressed in compression. if its original and final diameters are 40.00mm and 40.10mm respectively, and its final length is 120.00mm, compute its original length (L1) if the deformation is totally elastic.
The Metrodome's inflatable roof covers 10.0 acres and its interior volume is 60.0x10^3 cubic feet. During construction, 40.0x10^3 cubic yards of concrete, 11.9x10^3 tons of reinforcing steel, and 5.00x10^2 tons of structural steel were utilized.
Determine the excess pressure inside an 0.5-in-diameter soap bubble floating in air, given the surface tension of the soap solution is 0.0035 lb/ft.
Determine the effective annual interest rate for a nominal rate of 8% per year, in which is compounded quarterly.
A beam with a total length of 14m, has a 1000N load on the left end, 4m to the right (from the left end of the beam) there is a rolarr, 2m to the right of the rolar begins a 300 N/m load that goes for 4m, and the last 4m has a tapered load of 300 ..
A pond has a surface area of 1.0 acre. A stream flows into the pond at 1.2 cubic feet per second for the entire year. The evaporation rate, also steady for the entire year, is 1 in. /month. Assume that the pond is in the shape of a cylinder.
The total volume of the house is 650 m3 (assume that the volume is well mixed throughout). The radon source emits 250 pCi/s (A picoCurie [pCi] is a unit proportional to the amount of radon gas and indicates the amount of radioactivity of the gas)
The force from road drag is 2.5 N and the aerodynamic drag (in Newtons) is equal to 0.2v2 N where the units on 0.2 are N s2/m2 and where v is in m/s. Neglecting drive train losses what is the average power output of the cyclist
Conduct either a qualitative or quantitative risk assessment on this project. Identify the risk factors that you consider most important for the suspension bridge construction. How would you assess the riskiness of the project? Why?
A concrete (n=0.013) stormwater channel, 6-feet in diameter, has a bed slope of 0.01%. What is the uniform flow in cfs when the pipe is half full
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