Master Kinematics and the Laws of Motion: 143 Physics Flashcards from Velocity Vectors to Hamiltonian Mechanics

Most physics students lose marks not because the ideas are hard, but because the vocabulary is slippery. Speed versus velocity. Acceleration versus deceleration. Distance versus displacement. The Mechanics: Kinematics and Newton's Laws deck (code XT0616) attacks that problem head-on with 143 cards that force you to state each definition precisely, then build from plain motion up to Lagrangian and Hamiltonian formulations.

Ten cards that show what the deck is like

Everything the 143 cards cover

Position vectors, instantaneous velocity, average acceleration, trajectory, displacement, relative position and relative velocity, the three constant-acceleration equations, Cartesian coordinates and direction cosines, cylindrical-polar coordinates, radial and tangential unit vectors, centripetal and Coriolis acceleration, angular velocity, angular acceleration, the right-hand rule, and the rotational analogues ω = ω₀ + αt, θ = θ₀ + ω₀t + ½αt², ω² = ω₀² + 2α(θ − θ₀).

Then the machine-design half: rigid transformations, the special Euclidean group SE(n), configuration space, homogeneous transforms, holonomic and non-holonomic constraints, inextensible cords, Reuleaux's kinematic pairs, lower and higher pairs, revolute, prismatic, cylindrical, spherical and planar joints with their degrees of freedom, kinematic chains, four-bar and six-bar linkages, Watt and Stephenson topologies, the mobility formula, kinematic analysis versus synthesis.

And the Newtonian core: point particles, centre of mass, non-inertial frames and fictitious forces, Galilean transformations, momentum, Newton's third law, conservative versus non-conservative forces, work as a line integral, kinetic and potential energy, conservation of energy, Hooke's law, the Lagrangian L = T − V, Hamilton's equations, the principle of least action, Noether's theorem, moment of inertia, torque, angular momentum, the SI units of force, energy, power and pressure, plus the history — Kepler's Astronomia nova, Galileo's inclined planes, Newton's Principia, the de Broglie wavelength that marks where classical mechanics stops working.

Two things worth doing while you review

Answer every definition card with its equation, out loud. "Acceleration" is not enough; say "a = dv/dt = d²r/dt²". The deck writes the formula into most backs precisely so you can self-check, and exams reward the symbolic form far more than the English gloss.

Study the rotational cards immediately after their linear twins. The deck pairs them deliberately: v = v₀ + at with ω = ω₀ + αt, mass with moment of inertia, force with torque, momentum with angular momentum. Learned side by side, rotation costs you almost nothing extra; learned two weeks apart, it becomes a second subject.

Related decks

Vectors and circular motion get much easier once the unit circle is automatic — see our guide to SOH-CAH-TOA and the unit circle. For Newtonian gravity in the wild, try the Solar System deck.

Open Flip It and look for deck XT0616 — Mechanics: Kinematics and Newton's Laws — in your library.