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(Extended, open-ended problem) The second order, nonlinear, ordinary differential equation
governs the oscillations of the Van der Pol oscillator. By scaling the time variable the equation can be reduced to
Investigate the properties of the Van der Pol oscillator. In particular show that the oscillator shows limit cycle behaviour (that is, the oscillations tend to a form which is independent of the initial conditions and depends only on the parameter μ). Determine the dependence of the limit cycle period on μ.
As shown in the picture, air flows through a pipe. Heat is supplied to the airflow. The air at the inlet is 200kPa and 20 C with flow velocity of 5m/s. The exiting air is 180 kPa and 40 °C. The diameter of the pipe is 0.28 m. Determine (a) the volume..
Suppose one of your classmates claims that the following boolean expressions represent the conversion from 4-bit Gray code to 4-bit binary numbers:
Determine the atomic packing factor (APF) of the simple hexagonal crystal structure assuming the lattice parameter a is equal to 2R and the lattice parameter c is equal to 1.5 a. The Bravais lattice is shown below. Assume one atom on each lattice poi..
Two boys decide to estimate how far it is across a lake. One bangs two rocks together underwater on one side and the other estimates that it takes 0.4 s for the sound to reach the other side. What is the distance across the lake?
a supply of 5 kgs ammonia at 500 kpa 20degc is needed. two sources are available one is saturated liquid at 20degc and
A new vehicle propulsion scheme calls for the use of liquid nitrogen as "fuel". The details of the power cycle are basically liquid nitrogen is heated in contact with the atmosphere, pressurised and expanded through a turbine) .
a stream of refrigerant-134a at 1 mpa and 12 c is mixed with another stream at 1 mpa and 60 c. if the mass flow rate of
The tool shown is used for straightening twisted members as wooden framing is completed. If the force P = 30 lb is applied to the handle as shown, determine the normal forces applied to the installed stud at points A and B. Ignore friction.
Then, assuming the engine could be started determine what maximum speed it could run at in the coldest conditions before it warmed up, neglecting all other losses, if the engine could deliver 60 kW of power. Parameters:
At the beginning of the compression stroke, the volume of a certain diesel engine cylinder is 1.000 liter and it is filled with air at 300 K and 100 kPa absolute. At the end of the compression stroke the air is at 800 K and 4280 kPa absolute.
10 kg of water in a piston cylinder exists as a saturated mixture at 120 kpa with quality 40. the water is now heated
What are different types of Nuclear reactors in operation in thev world.
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