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Physics and engineering · Course

Model, constrain, control and troubleshoot

Investigate nonlinear motion and power trade-offs by inspecting quantities with units.

Start with everyday situations, predict an outcome, and test your ideas. You need basic arithmetic, percentages and graph reading; explanations introduce additional ideas where needed. No coding or account is required. Every investigation has school, college and workplace extensions—you can choose any of them.

What you will learn

Use motion, circuit and energy models to compare feasible designs, inspect feedback failures and choose measurements that distinguish faults.

Before you begin

  • Use multiplication, division, squared values and units.
  • Read positive and negative changes.
  • Trigonometric components are explained at the trajectory experiment; programming is optional.

Open any topic directly. Review functions and graphs whenever useful.

Choose your scope

The original two-investigation starter remains available. Choosing the full course adds its published lessons to your selected scope; your earlier work stays saved. Skipping does not count as completion or understanding.

Free exploration: no completion scope selected yet. Project reports and independent evidence are tracked separately.

Course outline

Choose a unit, then open a lesson on its own page. This outline lists the sequence; it does not combine the full lessons into one page.

Predict motion under constraints2 lessons

Separate motion components and distinguish target accuracy from feasible operation.

Why double speed needs more than double space

○ Not marked complete · Included · Practice check available

Lesson preview

Which part of stopping distance grows fastest with speed?

Original synthetic motion model: an object moves at constant speed during a response delay, then slows with constant deceleration.

Open lesson

Hit the target without hitting the ceiling

○ Not marked complete · Included · Practice check available

Lesson preview

Can two trajectories reach similar distances but have different feasibility?

Original synthetic scenario. A virtual projectile launches and lands at the same height. Gravity is set to 10 m/s² to make arithmetic inspectable.

Open lesson
Follow energy and diagnose losses3 lessons

Account for useful and wasted power, thermal storage and complementary fault measurements.

More current, less useful power?

○ Not marked complete · Included · Practice check available

Lesson preview

Can drawing more current make a power source less effective?

Original synthetic circuit: an ideal voltage source has a series internal resistance and supplies one resistive load.

Open lesson

Insulation and thermal mass solve different problems

○ Not marked complete · Included · Practice check available

Lesson preview

What changes warm-up time, and what changes eventual temperature?

Original synthetic scenario. A virtual object starts at ambient 20°C. Constant heating supplies energy while heat leaks in proportion to its temperature above ambient.

Open lesson

Use two measurements to isolate a fault

○ Not marked complete · Included · Practice check available

Lesson preview

Does a low loaded voltage identify a unique problem?

Original synthetic scenario. A virtual circuit may be healthy, have lower source voltage, or have excessive internal resistance. A shared meter offset can affect both voltage readings.

Open lesson
Close the loop1 lessons

Tune a programmed controller while testing delay, actuator limits and disturbance sensitivity.

A stronger correction can make control worse

○ Not marked complete · Included · Practice check available

Lesson preview

How do gain and delayed sensing affect a controller?

Original synthetic scenario. A virtual position controller targets 10 m. Each step applies a bounded movement, then a constant negative drift.

Open lesson

Defend a design and troubleshoot its failure

Choose a virtual motion, power or heating design and specify a target plus a binding constraint. Compare alternatives, deliberately introduce a failure or disturbance, and justify a diagnostic or control change using captures from at least two experiments. This is a model-based design review, not authorization to operate physical hardware.

Save a report, compare captured evidence, and attempt three new cases. A completed report records submitted work; the rubric supports a separate human review of its quality.

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Progress is saved in this browser when storage is available. Review your experiments and export a backup in My Work.