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1.A 500 N Force has a line of action that passes through the point (0,0,0) and (3m,3m,0). The Magnitude of the Moment that the Force causes about an axis that passes through points (0,5m,5m) and (10m,10m,10m) is most nearly: (a) 1021 N-m; (b) 1443 N-m; (c) 3062 N-m; (d) 6124 N-M.
2.Suppose 76% of all commuters ride to work in carpools. if eight workers are randomly selected, find the probability that at least 7 will ride in carpools.
Calculate the moments M_A and M_B about point A for the forces applied at points A and B. Then, determine the resulting couple moment M_R. Assume that a positive moment produces a counterclockwise rotation whereas a negative moment produces a cloc..
Are installed together? Show calculations to justify your answer and sketch a specific energydiagram to illustrate the process of changes in flow depth in eachcase.
A passive solar house that is losing heat is outdoors at an average rate of 50,000 kJ/h is maintained at 22oC at all times during a winter night for 10h. the house is to be heated by 50 glass containers each containing 20 L of water this is heated to..
Two materials (wrought iron, ks = 0.046 mm, and galvanized iron, ks = 0.15 mm) are being considered for a new pipeline. The expected discharge is 0.15 m3/s. Both the head loss and cost are sought for. Wrought iron pipe costs 5 cents more than the gal..
What should TAC , TAB and the acute angle ? between TAB and the vertical to minimize the tension TAB ? Take o and W = 1,000 N. Hint: Consider various possible force triangles and decide on inspection how to minimize TAB.
Apopulation of pheasants is released onto 6 islands. The pheasantcame from the mainland where predators are common. Three of theislands have predatory fox present (have-predators) and three donot have fox present (predator-free)
This project is expected to have a first cost of $2,000,000 and an annual maintenance cost of $50,000. In addition, major repairs costing $250,000 will be required after 25 years and each 15 years thereafter.
a 15 kg mass attached to a cord that is wrapped around a pulley and released from rest. the pulley has mass of 5 kg but is frictionless. consider the cord as mass less, inelastic and frictionless.
The cash flow associated with landscaping and maintaining a certain monument in Washington, D.C., is $100,000 now and $50,000 every 5 years forever. Determine its perpetual equivalent annual worth
An 8-inch water main with a flow rate of 14 ft3/sec raises 100-feet. At the beginning of the main the pressure is 110 psig and drops to 50-psig at the end. For this water main calculate the head loss.
Determine a composite SCS runoff curve number for a 600-acre basin that is totally within soil group C. The land use is 40 percent contoured row crops in poor hydrologic condition and 60 percent native parture in fair hydrologic condition.
Block D sits freely on the homogeneous bar and experiences a gravitational force of 50N. Homogeneous bar AB experiences a gravitational force of 25 N. What is the force between the bar and block D?
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