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MVP — interactive sketch; a fuller lab is coming later.

Force composition & resolution

Resultant R = √(F₁² + F₂² + 2F₁F₂cosθ); resolve into components F∥ = Fcos(α−β), F⊥ = Fsin(α−β).

Newton’s laws (senior)Hooke, friction, force composition, apparent weight.

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Force composition & resolution

Force composition via parallelogram law; resultant R depends on angle θ. This “Force composition & resolution” page is an MVP interactive sketch — formulas, controls, and live readouts in the browser; a fuller bench may follow.

Force composition via parallelogram law; resultant R depends on angle θ.

Key formulas

  • R=\sqrt{F_1^2+F_2^2+2F_1F_2\cos\theta}
  • \tan\phi=\frac{F_2\sin\theta}{F_1+F_2\cos\theta}

How to use

  1. Adjust parameters in the left panel.
  2. Use play / pause and speed controls.
  3. Match right-side readouts to the formulas.
  4. Reset to return to the initial state.

Applications

  • Force composition & resolution: Force composition via parallelogram law; resultant R depends on angle θ.
  • Classroom focus: resolve into components F∥ = Fcos(α−β), F⊥ = Fsin(α−β).

FAQ

What does MVP mean on this page?

An interactive sketch with formulas and parameters. Polished Ready labs are the full bench experience.

What does the “Force composition & resolution” lab practice?

Tune parameters and match readouts to the “Force composition & resolution” relations — useful for prep and demos.

Is force always along velocity?

No. Net force aligns with acceleration; velocity can point elsewhere.

How do graphs show uniform vs accelerated motion?

Uniform: constant x–t slope. Constant a: straight v–t with slope a.

Try the lab