Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow : an Introduction to Applied Mathematics |
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Page 17
... length should be used . In this text we will use metric units in the m - k - s system , i.e. , meters for length , kilogram for mass , and seconds for time . However , as an aid in conversion to those familiar with the British ...
... length should be used . In this text we will use metric units in the m - k - s system , i.e. , meters for length , kilogram for mass , and seconds for time . However , as an aid in conversion to those familiar with the British ...
Page 269
... length . Cars near the 50 mark are slightly greater than 14 units apart and hence the traffic density is slightly less than 1 car per 1 units of length . Equivalently , the traffic density is slightly less than 333 cars per mile , since ...
... length . Cars near the 50 mark are slightly greater than 14 units apart and hence the traffic density is slightly less than 1 car per 1 units of length . Equivalently , the traffic density is slightly less than 333 cars per mile , since ...
Page 272
... length behind each other , then what is the density of traffic ? [ You may assume that the average length of a car is approximately 16 feet ( 5 meters ) ] . 58.2 . Assume that the probability P of exactly one car being located in any ...
... length behind each other , then what is the density of traffic ? [ You may assume that the average length of a car is approximately 16 feet ( 5 meters ) ] . 58.2 . Assume that the probability P of exactly one car being located in any ...
Contents
Mechanical Vibrations 1 | 3 |
NEWTONS LAW | 4 |
NEWTONS LAW AS APPLIED TO A SPRINGMASS SYSTEM | 6 |
Copyright | |
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Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic ... Richard Haberman No preview available - 1998 |
Common terms and phrases
analyze approximation Assume c₁ c₂ calculated conservation of cars Consider corresponding d2x dt2 de/dt density wave velocity depends derived determine dq/dp dx dt dx/dt equilibrium population equilibrium position equilibrium solution example exercise exponential Figure flow-density force formula friction function growth rate highway increases initial conditions initial density initial traffic density initial value problem integral intersect isoclines logistic equation mass mathematical model maximum method of characteristics motion moving Newton's nonlinear pendulum number of cars observer occurs ordinary differential equation oscillation P/Pmax P₁ partial differential equation period phase plane Pmax potential energy problem qualitative region result sharks shock velocity Show shown in Fig simple harmonic motion Sketch the solution sketched in Fig slope solve species spring spring-mass system stable straight line Suppose Taylor series tion traffic flow traffic light trajectories Umax Umaxt unstable equilibrium variables velocity-density x₁ yields zero др