Dynamics
Dynamics extends statics to bodies in motion, linking forces to acceleration through Newton's second law. Problems cover kinematics (describing motion) and kinetics (relating forces, energy, and momentum to motion).
Kinematics
For constant acceleration, v = v0 + a·t and x = x0 + v0·t + (1/2)a·t^2. These describe position, velocity, and acceleration without regard to the forces causing them. Projectile motion treats horizontal and vertical components independently.
Kinetics and Newton's Second Law
F = m·a governs linear motion; torque = I·alpha governs rotation, where I is the mass moment of inertia. Identifying the net force or torque on a free body sets up the acceleration.
Work, Energy, and Momentum
The work-energy principle equates net work to the change in kinetic energy KE = (1/2)m·v^2. Linear momentum p = m·v is conserved when no external impulse acts, which is the foundation of collision and impact analysis.