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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.
water pressure of 10 kpa is pumped to a pressure of 4mpa. what is minimum energy requirement of the pump in kjkg.
kerosene having a specific weight of 50 lbft3 is flowing at 10 galmin from 1inch pipe to a 2 in pipe. calculate the
Please include images of: composition cells, stress cells, concentration cells, coatings, inhibitors, sacrificial anodes, impressed voltages, anodic protection, cold worked grain structure and recrystallized grain structure.
The process and volume relation is given p=(8-4v)bar for a non flow process ,where V is in cubic meter.If 130kJ of work is supplied to the system,calculate the final pressure and volume of the system.Take the initial volume as 0.5 cubic meter.
A torque T is introduced from the right end of the shaft and removed at the gear wheel. The number of stepped section is given, however the length of each section and their diameters are unknown and need to be determined. Determine the length and ..
the combustion products in an internal combustion engine undergo an expansion process from an initial volume of 0.007
A thin plate section of an airplane is uniformly deformed 0.3 mm in one corner (dispalcement to the rigth) , 0.4 mm in one corner (displacement accendent) .the dimentions: h = 300 mm
in a rolling operation material a 8 inches wide and 2 inches thick was reduced to the maximum extent possible in a
trees at the bottom of a lake are approximated as a truncated cone with a base diameter of 6 ft a top diameter of 1 ft
convert the composition of the following alloy from atom percent to weight percent a 44.8 at of silver b 46.3 at of
A high strength steel [E = 200 GPa] tube having an outside diameter of 80 mm and a wall thickness of 3 mm is bent into a circular curve having a 52 m radius of curvature. Determine the maximum bending stress developed in the tube
An Industrial water shutoff valve is designed to operate with 40lbs of force and will encounter 150lbs of resistance force applied to a 2in diameter axle. What is the required actual mechanical advantage of the system?
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