Lagrangian Forces of Constraint - Will a Block Sliding Down a Parabola Ever Fall Off?
Explore the dynamics of a block sliding on an inverted parabola, analyzing forces and determining when it loses contact with the surface.
Using Average Velocity to Find the Future Position of a Puck - Python Bonus Included
Learn to calculate a puck's future position using average velocity, with a bonus Python implementation for predicting multiple positions.
Lagrange Multipliers: Force of Constraint for a Pendulum
Explore Lagrange Multipliers to determine pendulum constraint force, utilizing Python for numerical solutions and work-energy verification.
Review of Lagrangian Mechanics with Examples - Projectile Motion and Driven Spring Oscillation
Explore Lagrangian mechanics through projectile motion and driven spring oscillation examples, including numerical calculations and Python implementation.
Matter and Interactions: Interactions and Motion - Chapter 1
Explore fundamental physics concepts: Newton vs. Aristotle, vectors, motion, momentum. Learn to implement vectors in Python for practical applications.
Lagrangian Mechanics - Spring Mount Pendulum with Python and SymPy
Explore Lagrangian mechanics through a spring-mounted pendulum, deriving equations of motion and utilizing Python with sympy for analysis and visualization.
Lagrangian - Bead on a Driven Hoop vs. Bead on a Free Hoop
Explore the motion dynamics of beads on rotating hoops through Lagrangian mechanics, comparing driven and free rotation scenarios.
Lagrangian Mechanics: The Jiggle Pendulum
Explore Lagrangian mechanics through a unique oscillating pendulum model, using Python to simulate and analyze its motion.
Bead on a Spinning Wire Hoop: Lagrangian Mechanics
Explore Lagrangian mechanics through a bead on a spinning wire hoop problem. Learn coordinate systems, energy calculations, differential equations, and Python modeling.
Lagrangian Mechanics: Swinging Atwood Machine
Explore the motion of a swinging Atwood machine using Lagrangian mechanics and Python simulation.
Lagrangian Mechanics - Block on a Movable Wedge
Solve a complex physics problem using Lagrangian mechanics to analyze the motion of a frictionless mass on a movable wedge.
Plotting Damped Harmonic Oscillator with Initial Conditions
Explore damped harmonic oscillator plots with initial conditions, covering over-damped and under-damped scenarios. Gain insights into position vs. time and phase space representations.
Projectile Motion in Spherical Coordinates - Just Because It's Fun
Derive and model projectile motion using spherical coordinates, exploring acceleration vectors and implementing Python code for accurate simulations.
Center of Mass and the Half Atwood Machine
Explore the center of mass in a half Atwood machine, correcting common misconceptions and analyzing system motion using Python.
Classical Mechanics: Falling Object with Quadratic Drag
Explore falling objects with quadratic drag in classical mechanics, including velocity analysis and Python code implementation.
Classical Mechanics: Linear Drag without the Gravitational Force
Derive motion equations for objects with velocity-proportional drag, excluding gravity. Includes numerical modeling and Python code for practical application.
Classical Mechanics: Pulling a Block with Friction - Angle for Max Acceleration
Discover the optimal angle for maximum acceleration when pulling a sled, using physics principles and Python code to solve this real-world problem.
Python Physics: Understanding and Calculating Moment of Inertia
Explore the concept of moment of inertia in physics, using Python to calculate it for a disk through Monte Carlo simulation and plausibility arguments.
Calculating the Moment of Inertia for a Rod
Learn to calculate the moment of inertia for a rod, exploring rotations about different points and using Python for numerical calculations.
Energy Graphs for a Damped Harmonic Oscillator
Explore energy graphs of damped harmonic oscillators using Python, covering forces, momentum, motion modeling, and different types of drag.
Escape Velocity with Energy Plots
Explore escape velocity through energy plots, analyzing kinetic, potential, and total energy in gravitational systems.