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There are nine passengers on a bus. Among any three of them, there are two who know each other. Prove that there are five people on the bus who know at least four of the other passengers.
a small mechanical part in a complicated machine moves such that its position relative to a fixed frame of reference is
the following data apply to the auxiliary power unit apu on the boeing 777 single-shaft unit driving separate load
an ideal diesel cycle with a compression ratio of 17 and a cut off ratio of 2 has a temperature of 105 fahrenheit and a
We need to design a piping system that transports 35ft^3/s of water 100ft. The available head is 7ft. The pipe is to be made out of a rough concrete material. Find the necessary diameter for the pipe.
the light right-angle boom which supports the 400-kg cylinder is supported by three cables and a ball-and-socket joint O attached to the vertical x-y surface. Determine the reactions at O and the cable tensions.
at steady state a refrigeration cycle maintains a freezer at -2degc removing energy by heat transfer from the food
A piston-cypinder device contains 3 m^3 H2O at 6 MPa, 800 C (state 1). The system is cooled at constant volume to 180 C (state 2). The first process is followed by isothermal process ending with saturated liquid water (state 3).
Before freezing, breaded chicken patties with the composition below are cooled to 0°C from an initial cooked temperature of 82°C (180°F). Breaded Chicken Patty Water 60% Carbohydrates 15% Protein 15% Fat 8% Ash 2%
Calculate the deflection from torsional moment Mt and bending moment Mb and, then discuss the deflection from the torsional moment Mt compared to the result of 2-1)
a steam power plant operates on the ideal reheat rankine cycle. steam enters the high-pressure turbine at 6 mpa and 400
A project that will cost $750,000 will require payments as certain milestones are met. The initial payment is $50,000. When 30% of the work is complete an additional payment of $200,000 is due. When 70% of the work is complete another payment of $..
Design a beam that will carry a total load of 300 plf. Limit the span to 18 feet. Design a column that is capable of carrying a load of 50 kips. The length of the column is 16 feet
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