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1.Determine the moment about the origin O of the force F = 4i - 3j + 5k that acts at a point A. Assume that the position vector of A is (a) r = 3i - 6j + 5k, (b) r = i - 4j - 2k, (c) r = -8i + 6j -8k
2.If arm OA rotates with a constant clockwise angular velocity of theta dot(first dirivatie)=1.5 rad/s. determine the force arm OA exerts on the smooth 4-lb cylinder B when theta=45 degrees.
3.If you invest $150,000,000 today at 5% interest, how long will you be able to receive a yearly annuity of $85,000?
What is the percentage error in the bulk unit weight if the soil is the percentage error in the bulk unit weight if the soil is 95% saturated but assumed to be 100% saturated
the flow into the lake is from is from a stream is 300 m3/d andthe flow into the lake from runoff averages 20 m3/d. The lake is used for fishing by the local residents but the pesticides from local farms may damage the fish population.
Find the area of the parallelogram with vertices: P(0,0,0), Q(-2,4,0), R(-2,2,-2), S(-4,6,-2).
A 30 feet column is braced at the mid-section to prevent premature failure. If the maximum load is 380 kips, select an appropriate W14 section, if any, to support the loading conditions.
A car weighing 4000 pounds strikes the stopping barrier depicted below head on at a speed of 70 mph. The stopping force in the barrier is a function of how far the car penetrates into the barrier.
Ignoring both axial and shear deformations and using the unit force method, calculate the vertical displacement of joint B.
During the next month, the amount of water available for a city is lognormally distributed with a mean of 1 million gallons and a c.o.v. of 40%, where as the total demand is expected to follow a lognormal distribution with a mean of 1.5 million gallo..
Assuming a gage reading in the approach well(haa) of 13 ft, select a Parshall flume capable ofmeasuring a flow of 700 ft/s without submerging the flow.
Assume that the design temperature and residence time have been established as 1300 degrees F and 0.6 seconds, respectively. The type of burner used in the process requires outside air at a mass ratio of 12:1 (air to fuel gas).
The Senate hearing committee demanded thecorporation’s officers to providecredible
One cubic meter of nitrogen at40oC and 340 kPa iscompressed isoentropically to 0.2 m3. Calculate the finalpressure and temperature when the nitrogen is reduced to that volume.
a thin walled circular tube and a solid circular bar of the same material are subjected to torsion. the tube and the bar have the same cross-sectional area and the same length.
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