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A limit cycle by perturbation theory Use perturbation theory to investigate the limit cycle of Rayleigh's equation, taken here in the form
x·· + ∈((1/3)x·2 - 1)x· + x = 0,
where ∈ is a small positive parameter. Show that the zero order approximation to the limit cycle is a circle and determine its centre and radius. Find the frequency of the limit cycle correct to order ∈2, and find the function x(t) correct to order.
the tie rod ab and a pipe strut ac are used to support a 100-kn load as shown in the figure. both members are made of
a ship channel has a depth of 16 m and an upper width of 16 m. the sides of the channel are curved such that the width
A flow field for a fluid is described by u=(2+y) m/s and v=(2y) m/s, where y is in meters. Determine the equation of the streamline that passes through point (3m, 2m). Write the equation in the form x={x(y)}, where y is in meters.
with well illustrated diagrams show how the microstructure of a typical metallic material would change during
Determine the specific volume, in m3/kg, of Refrigerant 134a at 16 bar, 100°C, using (a) Table A-12. (b) Figure A-1. (c) The ideal gas equation of state. Compare the values obtained in parts (b) and (c) with that of part (a)
What is the slope of Isothomal process on PV plane?
A mass weighs 15 Newtons on the moon, where the acceleration of gravity is 1.67 m/s^2. Determine the weight, in Newtons, on Mars where g= 4.23 m/s^2
a refrigerator removes heat from the refrigerated space at 2 oc at a rate of 300 kjmin and rejects heat to the kitchen
2. Briefly explain why cold-worked metals are more susceptible to corrosion than noncold- worked metals. 3. Briefly explain why, for a small anode-to- cathode area ratio, the corrosion rate will be higher than for a large ratio.
A cold air chamber is proposed for quenching steel ball bearings of diameter D = 0.2 m and initial temperature Ti = 400°C. Air in the chamber is maintained at - 15°C by a refrigeration system
Assuming dynamically similar conditions between those of the laboratory and the projected design determine, for the "cold" test, the equivalent mass flow rate and the speed of rotation. Assume the gas properties are the same as for air
A hydroelectric power station is required to generate a total of 4.2 MW from a number of single-jet Pelton wheel turbines each operating at the same rotational speed of 650 rpm, at the same power output and at a power specific speed of 1.0 rev
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