1D Force Field

This interactive simulator explores 1D Force Field in Classical Mechanics. U(x) presets, F = −U′, bead on potential, phase (x,v) and E(t). Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.

Who it's for: Best once you already know the basic definitions and want to build intuition. Typical context: Classical Mechanics.

Key terms

  • force
  • field
  • force field 1d
  • mechanics
  • classical

Live graphs

How it works

One-dimensional conservative dynamics from a potential U(x). The force is F = −dU/dx, so total energy E = ½mv² + U(x) is conserved (up to small numerical drift). A harmonic well gives elliptical phase orbits; a double well allows periodic motion in one basin or more complex trajectories with enough energy.

Key equations

F = −dU/dx  ·  mẍ = F
E = ½mv² + U(x)  ·  double well: U ∝ x⁴/4 − x²/2