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A dynamical system satisfies the equations
x· = x - y - (x2 + y2)x,
y· = x + y - (x2 + y2)y.
Convert this system into polar form and find the polar equations of the phase paths that begin in the domain 0 < r < 1. Show that all these phase paths spiral anti-clockwise and tend to the limit cycle r = 1. Show also that the same is true for phase paths that begin in the domain r > 1. Sketch the phase diagram.
an insulated cylinder of fixed volume of 4 meter cube contains 20 kg of nitrogen. paddle work is done on the gas by
Determine the amplitude of the motion, the maximum velocity and acceleration and the periodic time and frequency of the motion.
In atmospheric studies the motion of the earth's atmosphere can sometimes be modeled with the equation →V/Dt+2→Ω x →V = -1/ρ∇p, where →V is the large-scale velocity of the atmosphere across the earth's surface, ∇p is the climatic pressure gradient, a..
By traversing the length of each rod with a ther- mocouple, it was observed that the temperatures of the rods were equal at the positions xA = 0.15 m and xB = 0.075 m, where x is measured from the base surface. If the thermal conductivity of ro..
Write the appropriate form of the heat equation along with reasonable boundary conditions for both the pipe and the insulation.
steam at 2 kg s enters a turbine at 6000 kpa and 600 c and exits as saturated vapor at 20 kpa. the turbine produces
refrigerant 134a is the working fluid in an organic rankine cycle. saturated vapor at 60degc enters the turbine and the
Was it ethical for Engineer A to refuse to sign or seal the plans? Was it ethical for Engineer B to ask Engineer A to sign and seal the construction documents? If additional work was required on the part of Engineer A, would it be ethical for Engin..
A piston/cylinder has nitrogen gas at 750 K and 1500 kPa. Now it is expanded in a polytropic process with n = 1.2 to P = 750 kPa. Find the final temperature, the specific work and specific heat transfer in the process.
The shaft is hollow of external diameter 75 mm and in4ternal diameter 40 mm. The density of the shaft material is 7700 kg/m3 and its modul us of elasticity is 200GN/m2. Find the lowest whirling speed of the shaft, taking into account the mass of t..
Write a research report on load test of an induction motor, in report below points should be included proprly, the repoer should contanins 2000 words. The below given purpose need to be elaborated properly
Use Psychrometric chart to determine Latent portion
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