Dieses Modell beschreibt die Dynamik des Wasserlösens. Siehe dazu das Video "Harnflussmessung"  https://youtu.be/EgOaPAEmXo0
Dieses Modell beschreibt die Dynamik des Wasserlösens. Siehe dazu das Video "Harnflussmessung"
https://youtu.be/EgOaPAEmXo0
This system models the equation of motion of a projectile in the horizontal (x) and vertical (y) directions, with a linear drag force. The drag is quantified by a drag coefficient C, which can be set by means of a slider.    Note that the equation has been made non-dimensional by measuring time in u
This system models the equation of motion of a projectile in the horizontal (x) and vertical (y) directions, with a linear drag force. The drag is quantified by a drag coefficient C, which can be set by means of a slider.

Note that the equation has been made non-dimensional by measuring time in units of v_0/g, and distance in units of v_0^2/g. In these units, the acceleration due to gravity is simply 1. Also the "seconds" in the time axis of the graphs really means the time units defined here. Also in these units the initial speed is simply 1. 

The inclination has been fixed at Pi/2. A later version will let this change with a slider.

One of the displays is y vs. x, which shows the trajectory of the projectile. 
This shows the motion of a mass suspended from a spring. An accurate solution requires a small time step and RK4 as the integration algorithm.
This shows the motion of a mass suspended from a spring. An accurate solution requires a small time step and RK4 as the integration algorithm.
  Path of a ball either dropped or thrown up vertically
Path of a ball either dropped or thrown up vertically
  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 quantiti

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

l=v_oy*t
This shows the motion of a mass suspended from a spring, with damping. An accurate solution requires a small time step and RK4 as the integration algorithm. (simplified clone)
This shows the motion of a mass suspended from a spring, with damping. An accurate solution requires a small time step and RK4 as the integration algorithm. (simplified clone)
This shows the motion of a simple harmonic oscillator, described in terms of the natural frequency of oscillation. An accurate solution requires a small time step and RK4 as the integration algorithm.
This shows the motion of a simple harmonic oscillator, described in terms of the natural frequency of oscillation. An accurate solution requires a small time step and RK4 as the integration algorithm.
 Basic model for standing waves on a string with varying mass density (e.g. beads)         f1=8.1 Hz;   f2= 21.05 Hz
Basic model for standing waves on a string with varying mass density (e.g. beads)

f1=8.1 Hz; f2=21.05 Hz
Depending on the pressure, water flows out of a vessel.
Depending on the pressure, water flows out of a vessel.
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 al
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.
 
  Um corpo é
lançado obliquamente no vácuo com velocidade inicial de 100 m/s, numa direção que forma com
a horizontal um ângulo x, tal que sen(x) = 0,8 e cos(x) = 0,6. Adotando g = 10m/s², determine:   a) Os módulos das componentes horizontal e vertical da
velocidade no instante de lançamento;  b)

Um corpo é lançado obliquamente no vácuo com velocidade inicial de 100 m/s, numa direção que forma com a horizontal um ângulo x, tal que sen(x) = 0,8 e cos(x) = 0,6. Adotando g = 10m/s², determine:

a) Os módulos das componentes horizontal e vertical da velocidade no instante de lançamento;

b) O instante em que o corpo atinge o ponto mais alto da trajetória;

c) A altura máxima atingida pelo corpo;

d) O alcance do lançamento.

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 Lançamento Oblíquo no vácuo.

 
  Uma roda-gigante
de raio 14 m gira em torno de um eixo horizontal. Um passageiro sentado em uma
cadeira, move-se com velocidade linear v=7 m/s. Determine:   a) A velocidade angular do
movimento.  b) O módulo da aceleração centrípeta do passageiro.  c) Em quanto tempo o
passageiro executa uma vol

Uma roda-gigante de raio 14 m gira em torno de um eixo horizontal. Um passageiro sentado em uma cadeira, move-se com velocidade linear v=7 m/s. Determine:

a) A velocidade angular do movimento.

b) O módulo da aceleração centrípeta do passageiro.

c) Em quanto tempo o passageiro executa uma volta completa.

Clique aqui para ver uma descrição do que é Movimento Circular.

THE BROKEN LINK BETWEEN SUPPLY AND DEMAND CREATES TURBULENT CHAOTIC DESTRUCTION  The existing global capitalistic growth paradigm is totally flawed  Growth in supply and productivity is a summation of variables as is demand ... when the link between them is broken by catastrophic failure in a compon
THE BROKEN LINK BETWEEN SUPPLY AND DEMAND CREATES TURBULENT CHAOTIC DESTRUCTION

The existing global capitalistic growth paradigm is totally flawed

Growth in supply and productivity is a summation of variables as is demand ... when the link between them is broken by catastrophic failure in a component the creation of unpredictable chaotic turbulence puts the controls ito a situation that will never return the system to its initial conditions as it is STIC system (Lorenz)

The chaotic turbulence is the result of the concept of infinite bigness this has been the destructive influence on all empires and now shown up by Feigenbaum numbers and Dunbar numbers for neural netwoirks

See Guy Lakeman Bubble Theory for more details on keeping systems within finite working containers (villages communities)

This shows the motion of a driven damped harmonic oscillator, described in terms of the undamped natural frequency, and a frequency gamma that reflects the degree of damping, parameterized as a damping ratio gamma/natural frequency.     The oscillator is driven with a force that is a sine function o
This shows the motion of a driven damped harmonic oscillator, described in terms of the undamped natural frequency, and a frequency gamma that reflects the degree of damping, parameterized as a damping ratio gamma/natural frequency. 

The oscillator is driven with a force that is a sine function of time, with a frequency that can be varied, expressed as a forcing ratio driving frequency/natural frequency.

An accurate solution requires a small time step and RK4 as the integration algorithm.
  ​S-Curve + Delay for Bell Curve Showing Erlang Distribution      Generation of Bell Curve from Initial Market through Delay in Pickup of Customers     This provides the beginning of an Erlang distribution model      The  Erlang distribution  is a two parameter family of continuous  probability dis
​S-Curve + Delay for Bell Curve Showing Erlang Distribution

Generation of Bell Curve from Initial Market through Delay in Pickup of Customers

This provides the beginning of an Erlang distribution model

The Erlang distribution is a two parameter family of continuous probability distributions with support . The two parameters are:

  • a positive integer 'shape' 
  • a positive real 'rate' ; sometimes the scale , the inverse of the rate is used.

A simple model of a capacitor being charged. The instantaneous charge grows at a rate equal to the difference between it and the final charge, given as CV, divided by a time constant, which can set with a slider.
A simple model of a capacitor being charged. The instantaneous charge grows at a rate equal to the difference between it and the final charge, given as CV, divided by a time constant, which can set with a slider.