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For the following position r and the force F, determine the angle and the magnitude of the force along the position vector. Also determine the force vector along the positon vector.
F=10i+20j-50k kNr=20i+50j-80k m
vehicle manufacturer is considering an engine for a new sedan (Cd=0.34, Af=22ft^2). the car is being designed to achieve a top speed of 100 mi/h on a paved surface at sea level (p=0.002378 slugs/ft^3).
A vane, 10 cm long and 8 cm in diameter, was pressed into soft clay at the bottom of a bore hole. Torque was applied and gradually increased 45 N-m when failure took place. Subsequently the vane rotated rapidly so as to completely remould the soil..
A cast iron water main 14m long of 600 mm inside diameter and 30 mm wall thickness runs full of water and is supported at its ends. Calculate the maximum stress in the metal if density of cast iron is 7200 kg/m and that of water is 1000 kgm.
Determine the required dimensions. The inside diameter is to be two- thirds of the outside diameter. The allowable shearing stress is 70 MPa, and the angle of twist is not to exceed 4 degree in 3 m of the shaft.
A 1.5 m diameter culver (concrete barrel, well - rounded entrance) that is 20m long is installed on a slope of 2 percent. The design discharge is 9.5 m^3/sec and the inlet will be submerged but not the outlet.
If the state standard downstream is not met, the state has informed town 1 that it must treat its sewage further so the downstream standard is met. Use a mass balance approach to show that the state's request is unfeasible.
You heat 250 ml of tap water from 10 degree celcius to 100 degree celcius in 2 minutes using a microwave oven operating at 2.5 GHz. a). What is the wavelength of this electromagnetic radiation
The stream from a gas well is a mixture containing 50 mol % methane, 10 mol % ethane, 20 mol % propane, and 20 mol % n-butane. This stream is fed into a partial conderser maintained at a pressure of 250 psia
Compute the size of a squeare concrete box culvert to handle a discharge of 25.5 cms. The culvert will have a length of 45.7m with a slope of 0.01 and a maximum headwater depth of 4.57m.
A flowrate of 3.5 ft^3/s is to be maintained in a horizontal aluminum pipe ( E = 5 * 10 ^-6 ft). The inlet and outlet pressures are 65 psi and 30 psi, respectively, and the pipe length is 500ft. Determine the diameter of the pipe.
Part of the roof of a sports stadium is to be supported by the cables AB and AC. The forces the cables exert on the pylon A to which they are attached are represented by the vectors FAB and FAC.
How many short tons of coal are required by this plant per year, assuming it operates continuously? If 10% of the coal mass remains as residual ash, how many tons will develop in the ash pile over 25 years?
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