Dynamics & Kinematics — Cheat Sheet
Motion equations, Newton's laws, work-energy, momentum, rotation.
Linear kinematics (constant a)
| Velocity | v = u + at |
| Displacement | s = ut + ½at² |
| Timeless | v² = u² + 2as |
| Average | s = ½(u + v)t |
Newton & forces
| 2nd law | F = ma |
| Weight | W = mg |
| Friction | F = µN |
| Momentum | p = mv |
| Impulse | F·Δt = Δp |
Work & energy
| Work | W = F·d·cosθ |
| Kinetic energy | KE = ½mv² |
| Potential energy | PE = mgh |
| Power | P = W/t = F·v |
| Efficiency | η = P_out / P_in |
Rotation
| Angular velocity | ω = ω₀ + αt |
| Angular displ. | θ = ω₀t + ½αt² |
| Link to linear | v = rω, a = rα |
| Torque | τ = Iα |
| Rotational KE | KE = ½Iω² |
| Ang. momentum | L = Iω |
Circular motion
| Centripetal accel | a_c = v²/r = ω²r |
| Centripetal force | F_c = mv²/r |
Formula reference — verify against the governing standard. Not a substitute for engineering judgment.