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Consider an economy with two consumers, A and B, and two states, 1 and 2. Each consumer has a von Neumann-Morgenstern utility function for lotteries of money. For each consumer, the utility of x units of money is √x, and each consumer believes that each state occurs with probability 1/2. Consumer A is endowed with $2 in state 1 and $4 in state 2. Consumer B is endowed with $1 in state 1 and $10 in state 2. Compute an Arrow-Debreu equilibrium for this example.
It is known that a long log floats with its axis horizontal. A very short log, however, floats with its axis vertical. Determine the maximum length of a cylindrical walnut log 30 cm in diameter that will cause it to float with its axis vertical.
a 2.5 m tall steel cylinder has a cross sectional area of 1.5 m2 . at the bottom with a height of 0.5 m is liquid water
consider two geothermal wells whose energy contents are estimated to be the same. will the exergies of these wells
What is the heat loss per fin? If 200 such fins are spaced at 5-mm increments along the tube length, what is the heat loss per meter of tube length?
water flows in a circular pipe. at one section the diameter is 0.3 m the static pressure is 260 kpa gage the velocity
air expands in a piston-cylinder device with a polytropic exponent of 1.3. the initial pressure and temperature were
It is assumed that a boundary layer begins to develop about 12 km from shore. If the wind speed averages 18 m=s, estimate the thickness of the boundary layer and the shear stress on the surface of the water near the shore.
a large fireplace in a ski lodge has a glass firescreen which covers a vertical opening in the fireplace. the opening
a simply supported aluminum beam is found to deflect 0.4 in. at location a when a force of 2001b is applied at b. what
a rectangular gate of 1m wide is hinged at its top edge shown as bellow. there is water at the right hand side of gate
An air-conditioning system, streams of cold and warm air are mixed to get air with the right temperature. Consider a mixing chamber into which cold air enters at 8C and 100 kPa at a rate of 0.55 m^3 /s and warm air enters at 300C and 100 kPa. The rat..
an engine operates on an air-standard otto cycle. the pressure and temperature at the beginning of the compression
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