Blocks on Ramps: Force Parallel and Force Perpendicular

Force of Friction (Normal Force)

Kinematic Equations

Initial and Final Velocity Equation

Radial Acceleration for Uniform Circular Motion

Centripetal Force for Uniform Circular Motion

Types of Energy

Potential Energy Line Integral

Gravitational Force and Gravitational Potential

Potential Energy and Force Relationship

Linear Velocity of Rolling without Slipping

Work Energy Theorem
- In terms of Kinetic Energy
- In terms of Force

Linear Collisions Conservation of Momentum

Two balls collide, M on m with M scattering at \(\theta\) with initial velocity V with the final velocity equal for both at v. What is the scattering angle of \(\phi\) of m?

Angular momentum of a point particle and for an extended body.

Torque (Angular Force)

Scalar Analogues of \(\vec{p} = m\vec{v}\) and \(\vec{F} = \frac{d\vec{p}}{dt}\)

Moment of Inertia (General and Extended Objects)

Parallel Axis Theorem

Center of Mass Displacement from Origin

Lagrangian Function

How do you compute the correct expression for T in the Lagrangian?

Euler-Lagrange Equations

Momentum Conjugate to q (Lagrangian)

Hamiltonian

Hamiltonian for Particle Moving in One Dimension

Hamiltonian for Particle Moving in 2D Polar

Hamilton's Equations

Lagrangian for a Simple Pendulum

Conservation of Conjugate Momentum Example