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(a) Show that ax21- 2bx1x2 + cx22 is positive-definite if and only if a > 0 and ac > b2.
(b) Find inequalities that must be satisfied by a and b to ensure that 2x21 + ax22 + 3x23 - 2x1x2 + 2bx2x3 is positive-definite.
A single cylinder diesel engine produces an output torque of 75 Nm when running at 1600 revs min-1. The indicated mean effective pressure in the cylinder is 5 bar and the piston diameter and stroke length are 150 mm and 250 mm respectively. Calcul..
electronic components are attached to a 2mm thick 10cm square aluminum plate. the back face of the plate has
The roller E and supporting box have a mass m1, and the four uniform links (two on each side) have a combined mass m2 and a length 2b for each. Neglect all friction and find the torque M necessary to raise the roller for a given value of ().
consider two-dimensionallaminar unidirectional flow between parallel spacing 2hvertical plates. one plate to the left
airplane takeoff from an aircraft carrier is assisted by a steam driven pistoncylinder device with an average pressure
An inventor claims to have devised a refrigeration cycle operating between hot and cold reservoirs at 300 K and 250 K, respectively, that removes an amount of energyQC by heat transfer from the cold reservoir that is a multiple of the net work inpu..
a jet engine propels an aircraft at 300 ms through air at 60 kpa and 0 c. the inlet diameter of this engine is 2 m the
12. 3 kg of refrigerant 22 undergoes a process for which the pressure-specific volume relation is pv^-0.8 = constant. The initial state of the refrigerant is 12 bar and 60 degrees C. The final pressure is 8 bar. Kinetic and potential energy effects a..
1) Display to the user the purpose of this program 2) In this program you will be converting temperature entered by the user in degree Fahrenheit to a) Degree Celsius b) Degree Kelvin c) Rankine or d) Réaumur 3
a steam pipe of 120 mm outside diameter and is covered with a 20 mm thick layer of calcium silicate insulation k
a certain process requires 2.3 cubic feet per second of water to be delivered at a pressure of 30 psi. this water comes
Water enters the steam generator of the power plant shown in the figure at 7MPa, 50 degrees C, and exits at 7MPa, 600 degrees C. The steam is then fed into a well-insulated turbine, developing a power output of 31.6 MW before exiting the turbine as a..
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