Kinematics
Describe position, velocity and acceleration before assigning causes to motion.
Subject
Purpose
Motion and force studied through kinematics, Newtonian dynamics, conservation laws, oscillation and many-body idealizations.
Structure
Entities → interactions → mechanisms → scales → measurement
Classical mechanics is most powerful when force-based and conservation-based descriptions are treated as complementary representations of the same dynamical system.
Describe position, velocity and acceleration before assigning causes to motion.
Relate changes in momentum to interactions while defining frames, constraints and idealizations explicitly.
Use scalar energy accounting to simplify motion when force descriptions become cumbersome.
Extend translational ideas to collisions, angular momentum, torque and rigid-body motion.
Study restoring forces, normal modes and resonance as recurring structures across mechanical systems.
These separations prevent nearby ideas from collapsing into one another before the subject is understood.
kinematics ≠ dynamics
mass ≠ weight
energy conservation ≠ energy constancy in every subsystem
Use these to test whether the model is becoming explanatory rather than merely familiar.
When is a force description more informative than an energy description?
Which idealizations make a mechanical model solvable without destroying the phenomenon of interest?
How do constraints change the degrees of freedom of a system?
Prefer measured trajectories and forces where available, with model assumptions about friction, rigidity, isolation and reference frames stated rather than hidden.