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AP Physics C: Mechanics tutor

Kinematics

How motion is described before asking what causes it: vectors, displacement, velocity, and acceleration, derivatives and integrals of motion, time graphs, inertial reference frames, and independent component motion. Topics: Scalars and Vectors, Displacement, Velocity, and Acceleration, Representing Motion, Reference Frames and Relative Motion, Motion in Two or Three Dimensions.

Force and Translational Dynamics

Why translational motion changes: system choice and center of mass, external forces, Newton's laws, gravity, friction, springs, velocity-dependent resistance, and circular motion. Topics: Systems and Center of Mass, Forces and Free-Body Diagrams, Newton’s Third Law, Newton’s First Law, Newton’s Second Law, Gravitational Force, Kinetic and Static Friction, Spring Forces, Resistive Forces, Circular Motion.

Work, Energy, and Power

Energy as a scalar account of motion and interactions: translational kinetic energy, work integrals, conservative forces and potential-energy functions, system energy balances, dissipation, and power. Topics: Translational Kinetic Energy, Work, Potential Energy, Conservation of Energy, Power.

Linear Momentum

Momentum as a vector account of interactions: force as a momentum derivative, impulse as a force integral, system boundaries and center-of-mass motion, and collisions and separations in one or two dimensions. Topics: Linear Momentum, Change in Momentum and Impulse, Conservation of Linear Momentum, Elastic and Inelastic Collisions.

Torque and Rotational Dynamics

Extended bodies described through angular motion, tangential relations, torque, rotational inertia, equilibrium, and net-torque equations. Topics: Rotational Kinematics, Connecting Linear and Rotational Motion, Torque, Rotational Inertia, Rotational Equilibrium and Newton’s First Law in Rotational Form, Newton’s Second Law in Rotational Form.

Energy and Momentum of Rotating Systems

Rotational kinetic energy, torque work, angular momentum and impulse, angular-momentum conservation, rolling, and satellite motion. Topics: Rotational Kinetic Energy, Torque and Work, Angular Momentum and Angular Impulse, Conservation of Angular Momentum, Rolling, Motion of Orbiting Satellites.

Oscillations

Motion about equilibrium under a linear restoring force or torque, including period and frequency, sinusoidal functions and graphs, energy exchange, resonance, and simple, physical, and torsion pendulums. Topics: Defining Simple Harmonic Motion (SHM), Frequency and Period of SHM, Representing and Analyzing SHM, Energy of Simple Harmonic Oscillators, Simple and Physical Pendulums.