The AP Physics C Mechanics is a Calculus based course designed to mirror an introductory mechanics course at the collegiate level. The course is one semester (18 weeks) in length.

*Unit & Topical Outline*

Unit 1: Math and Analytical Skills [1 week]

-Mathematics with Vectors

o Arithmetic operations, dot products, cross products, engineering notation

-Derivatives & Integrals

o Definition, graphical interpretation, computations

– Parametric Equations

– Units, Measurements, Powers of 10 & Estimation

Unit 2: Kinematics in 1D and 2D & Rotational Kinematics [3 weeks]

– Motion in 1-D

o Constant acceleration & Free-fall motion

o Acceleration varying with time

– Motion in 2-D

o General motion in 2D

o Projectile motion

– Relative Motion

– Rotational Kinematics

o Relationship between linear and angular quantities

o Angular displacement, velocity, and acceleration

o Constant and varying angular acceleration problems

Unit 3: Newton’s Laws [3 weeks]

– Static Equilibrium

– Dynamics of single and multiparticle systems

– Friction & Drag Forces

– Constant and Varying Forces

Unit 4: Rotational Dynamics [2 Weeks]

– Uniform Circular Motion

– Angular Momentum

o Applications of conservation of angular momentum

– Rotational Statics

– Torque

– Moments of Inertia

Unit 5: Work, Power, Energy [2 weeks]

– Work and the Work-Energy Theorem

– Kinetic and Potential Energy

– Relating Potential Energy and Force functions

– Conservation of Energy

– Power

– Relating Work, Power, and Energy to Forces and Kinematics

– Rotational Energy

Unit 6: Systems of Particles and Linear Momentum [2 weeks]

– Center of Mass

– Relating impulse, momentum, and forces

– Conservation of linear momentum

– 1-D and 2-D Collisions

Unit 7: Oscillations and Gravitation [2 weeks]

– Simple Harmonic Motion

o Dynamics and Energy of SHM

o Mass on a spring

– Horizontal/Vertical

– Pendulums and Other Oscillators

– Newton’s Law of Gravity

– Orbits of Planets and Satellites

o Kepler’s Laws

– Relate to Newton’s Laws

o Circular Orbits

o General Orbits