# Mechanics and General Physics

### Newton's laws: Motion of a point particle

Formulas

Kinematics (1D) and describing
trajectories, frame transformations

Kinematics
(projectile motion)

Newton's second law (with force given)

Newton's 2nd law
(with friction)

Newton's 2nd law (with drag)

Uniform circular motion
and centripetal acceleration

Circular motion
(in a constant gravitational field)

Conservation laws (energy and
momentum)

Work

Energy

Motion in a non-inertial frame

Static and dynamic equilibrium

### Newton's law of gravitation

Newton's law of gravitation,
Gauss' law

### Impulsive forces, collisions, interacting objects

Formulas

Interacting objects, Newton's 2nd
and 3rd laws, conservation laws

Elastic Collisions

Inelastic Collisions

Rockets

"Variable mass"
problems

Chains, etc

### Newton's laws: Rigid body motion

Formulas

Moment of inertia and CM

Rotational kinematics

Newton's laws of motion
applied to rigid bodies

Angular momentum conservation

Work and conservation of energy

Impulses (connecting linear and
rotational motion)

Static equilibrium

Elastic properties of
solid objects

### Lagrange's and Hamilton's equations

Formulas

Standard Lagrangian problems
(constrained point masses)

Standard Lagrangian problems
(inclined planes)

Standard Lagrangian problems
(oscillations)

Standard Lagrangian problems
(other problems)

Problems
involving the Hamiltonian

Extensions of the Lagrangian and Hamiltonian
formalism

Lagrange multipliers

### Oscillations and waves

Formulas

Simple oscillations

Driven and damped oscillations

Coupled oscillations (point masses
and springs)

Coupled oscillations (pendula)

Coupled oscillations (other systems)

Mechanical waves

### Motion in a central potential

Formulas

The Kepler problem

Other central potentials

Scattering (hard spheres,
central potentials)

### Relativistic kinematics and dynamics

Formulas

Proper time

Proper length

Lorentz transformation

Velocity addition

Doppler shift

Collisions (involving only massive particles)

Collisions (including massless partner)

Decay (involving only massive partners)

Decay (including massless partner)

Relativistic energy and momentum

Force

### General Physics

Formulas

Buoyancy (liquids)

Buoyancy (gases)

Static and flowing fluids

Boltzmann statistics

Thermal expansion and conductivity

Specific and latent heat

Radiation laws

Ideal gas law

Surface
tension

Kinetic theory

First law of thermodynamics and
the ideal
gas law

The 2nd law of thermodynamics

Entropy

Entropy involving ideal gases

Error analysis and math