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1. Write out the transformation formula for a fifth order tensor. [The main difficulty is finding enough suffix names!]
2. Show that the sum of the squares of the elements of a tensor is an invariant. [First and second order tensors will suffice.]
you are an engineer in an electric-generation station. you know that flames in the boiler reach a temp of 1200 k and
a 20 mw radial flow hydraulic turbine is to be designed with a head of 70 m and a speed of 90 rpm. a geometrically
In how many ways can the elements of [n] be permuted so that the sum of every two consecutive elements in the permutation is odd?
a disabled automobile is pulled by means of two ropes. knowing that the tension in rope ab is 750 ib determine by
Damping experiments on iron were made using a torsion pendulum with a natural frequency of 0.65 cycles/s. The experiments were run at var- ious temperatures and the maximum log decrement was found at 35?C.
A frictionless piston-cylinder contains H2O initially at 1000 kPa and 200C. The system is slowly cooled at constant pressure to 20C. Determine the temperature at which you would expect two phases to exist. Calculate the work for the entire process
Design a cord (design the constants k and beta ) so the cord stretches 2.5 times the unstretched length, and the acceleration of the jumper doesn't exceed 3g, and the cord has zero stiffness at the bottom of a 400ft drop.s=elongationk=spring const..
an engineer determines that a 40-cm-long rod of 1020 grade steel will be subjected to a tension of 20 kn the following
A rise in autonomous consumption spending or a rise in invest- ment or a rise in government spending by 50 leads to the same impact on equilibrium income and toidentical adjustment paths for Y(t).
the thermometer in this problem a thermometer has a time constant of 10s and behaves as a first-order system. it is
air is compressed in a steady-flow compressor via a polytropic process from 15 psia and 60 degree f state 1 to 75 psia
the entire assembly is placed in an environment whose temperature is 200c. determine the volume of chamber 1 when thermodynamic equillibrium has been estabilished.
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