Z207 from Hartmut Bossel System Zoo 1 p103-107
After running the default settings Bossel describes A=0.2, B=0.2, Initial Values X=0 Y=2 and Z=0 and varying C=2,3,4,5 shows period doubling and transition to chaotic behavior
Bossel: Z207 Rössler Chaotic Attractor
Model describing a simple harmonic oscillator with adjustable damping parameters.
Damped harmonic oscillator
object is projected with an initial velocity u at an angle to the horizontal direction.
We assume that there is no air resistance .Also since the body first goes up and then comes down after reaching the highest point , we will use the Cartesian convention for signs of different physical quantities. The acceleration due to gravity 'g' will be negative as it acts downwards.
h=v_ox*t-g*t^2/2
Clone of Launched at an Angle
This is the first system students have to model in "phyics and system dynamics for aviation". The system consists of a cylindrical pot with a hole in the bottom.
Clone of Torricelli's Law
Z204 from System Zoo 1 p91-94
Clone of Bistable Oscillator
Clone of Bomba de golpe de Ariete 01 09 2021
The underlying differential equation for this very minimal model is a non-dimensional version of the equation for an RC circuit, with charge measured in units of C*emf, and time measured in units of RC.
Clone of Charging a capacitor - Non-dimensional model
This model shows the different forces that influences a skier speed
Clone of Speed of a skier during a turn with a defined radius
Rotating Pendulum Z201 from System Zoo 1 p80-83
Clone of Rotating Pendulum
Clone of Bomba de golpe de Ariete 03 09 2021
E1. Eenparig Versnelde Beweging - Vectoren
Clone of Wind Resistance Model
Clone of Bomba de golpe de Ariete 05 09 2021
Clone of Bomba de golpe de Ariete 05 09 2021
Um ponto
material percorre uma trajetória circular de raio R = 20m com movimento uniformemente variado e
aceleração escalar a = 5m/s². Sabendo-se que no instante
t = 0 sua velocidade escalar é nula, determine no instante t = 2s os módulos da:
a) Velocidade vetorial;
b) Aceleração tangencial;
c) Aceleração centrípeta;
d) Aceleração vetorial.
Fonte: (RAMALHO,NICOLAU E TOLEDO; Fundamentos da Física, Volume 1, 8ª edição, pp. 12 – 169, 2003).
Clique aqui para ver uma descrição do que é Movimento Vertical no Vácuo.
Velocidade e Aceleração Vetorial
Clone of Clone of Bomba de golpe de Ariete
Clone of Bomba de golpe de Ariete 05 09 2021
Z212 from System Zoo 1 p142-148
Clone of House Heating Dynamics
In diesem Modell wird das Verhalten, also die Positionsänderungen von drei Körpern innerhalb eines Bezugssystems aufgrund der Gravitationskraft simmuliert. Je nach Änderung der Parameter (Masse, Ausgangsposition, Radius der Massen(-punkte) variiert auch die Chaotizität des System.
Zusätzlich wir als Gedankenexperiment die Reibungskraft die durch ein hypothetisches umgebenes Medium entsteht eingeführt und die Auswirkung auf die Chaotizität gezeigt.
Clone of 3-Körper-Problem
Z209 from Hartmut Bossel's System Zoo 1 p112-118. Compare with PCT Example IM-9010
Clone of Balancing an Inverted Pendulum
object is projected with an initial velocity u at an angle to the horizontal direction.
We assume that there is no air resistance .Also since the body first goes up and then comes down after reaching the highest point , we will use the Cartesian convention for signs of different physical quantities. The acceleration due to gravity 'g' will be negative as it acts downwards.
h=v_ox*t-g*t^2/2
Launched at an Angle
