Build a control system for a Segway constructed out of LEGO Mindstorms NXT components.

Design and prototype mechanisms such as cams with the symbolic component creation capabilities in System Modeler.

Compare three designs for a spring-based recentering mechanism in an analog joystick.

Construct a model of an asynchronous induction machine with a slip‐ring rotor.

Control the water level in a series of tanks using PI controllers.

Systematically design a controller for a nonlinear system using model inversion control.

Construct a virtual test rig to investigate the effects of dry friction on a rolling wheel.

Control an experiment in real time with input from Mathematica.

Use a directional control valve to route fluid to and from a cylinder with the purpose of moving a load to different specified positions.

Build 2D mechanical models with the Planar Mechanics library. The two‐dimensional piston engine model can be animated in both 2D and 3D.

Model a spool with a preload to avoid chattering.

Stabilize the unstable pendulum with a linear-quadratic regulator.

By coupling clutches together, a variable structure drivetrain can be achieved. With different clutches engaged at different times, torque is supplied to different parts of the system.

Examining different car wheel setups is crucial to evaluating if a certain wheel is suitable to drive on a certain terrain. The model presented here will examine different wheel types interacting with different ground types.

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.

Ever wondered what the power rating of the radiator in your house should be, or how the ambient conditions affect your room temperature? This example will model all the components of a house and combine them to see how your room temperature changes with ambient temperature fluctuations.

Ever wondered how your refrigerator or air conditioner works? In this example, you will explore how vapor compression refrigeration cycle works and figure out what the capacity of your air conditioner should be.

Addition of heat can lead to flow of fluid from a high entropy to a low entropy region. In this example, we see how solar radiation can lead to fluid flow between a storage tank and a tanker.

It is often noted that CO2 causes global warming, but keeping track of CO2 concentrations is also an important aspect of preserving indoor air quality. This example shows how you can control the concentration of CO2 in a room and subsequently check if climate change puts more pressure on the ventilation system.

Understand the dynamics of a spring-mass system. This example uses a cellphone, attached vertically to a spring, to record accelerations. The experimental data is then used to calibrate the model parameters.

Use the concept of kinematics to understand a stunt car jump and simulate daring scenarios. Visualize the jump from different reference frames, like the audience, the car or a moving helicopter.

Have you ever been annoyed by watching shaky footage taken by your cell phone? In that case, you might have thought about using a gimbal or a camera stabilizer. Ever wondered how they work? In this example, you will understand the dynamics behind them and design your own camera stabilizer.

Do you find it surprising that your washing machine starts to vibrate vigorously at a certain rotational speed? Why does this happen, and what can you do to avoid it? In this example, we will analyze the cause of these vibrations and tweak certain parameters to see if they can be minimized.

Compares the deflection of cantilever beams for different materials and for different cross-sectional areas.

Analyze impact of defects in roller bearings.

Understand the significance of incorporating mast flexibility into the analysis of design loads.

Understand how to troubleshoot excessive vibrations by adding external damping to a turbine model.

Check the backlash effects in a planetary gear that induce vibrations during the initial stages of motion.