Physics
Expand the curriculum with exciting experiments in dynamics and gain insight into how modeling and simulation can enhance and strengthen understanding of physics and math concepts.
Lotka–Volterra
The classic Lotka–Volterra model was originally proposed to explain variations in fish populations in the Mediterranean, but it has since been used to explain the dynamics of any predator-prey system in which certain assumptions are valid. Here, using System Modeler, the oscillations of the snowshoe hare and the lynx are explored.
Arduino Robot Arm
The Wolfram Model Plug library allows you to connect your simulation models to the real world using Arduino boards, thereby further increasing the capability for fast prototyping in System Modeler. Here, we will show how Model Plug can be used to interactively control a robot arm from a control panel.
Gyroscopic Precession
Gyroscopic effects have been a source of both amazing engineering and amusement for many people. This phenomenon affects a variety of applications. The most obvious might be the helicopter, which behaves in a quite surprising way. In this example, the concept of gyroscopic precession is explored.
Tennis Racket Theorem (Dzhanibekov Effect)
The tennis racket theorem or the Dzhanibekov effect states that for a rigid body with three unique moments of inertia, rotation about the intermediate axis is unstable, while rotation about the other two axes is stable. You can see this theorem in action in this wing nut example.
Trampoline Physics
A trampoline is a recreational device consisting of fabric stretched between a steel frame, using many springs. However, using it can be dangerous if the jumper loses control and falls. In this example, you will analyze the dynamics of the jumper by changing different parameters such as the weight of the jumper, the tilt of the ground and the jumper’s initial velocity.
Train Physics
When a train is moving, the forces acting between the railcars while braking are very strong. This wears out or even breaks the couplings between the railcars. In this example, you will examine different designs for the couplings and through this learn about the spring and damper systems.
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