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Explore vector fields and calculate line integral work around closed paths using analytical and numerical methods with Python.
Explore the concept of conservative forces and learn how to determine if a force is conservative by deriving the curl in classical mechanics.
Utilize Python and Sympy to solve complex physics problems, focusing on a mass rotating on a hoop using Lagrangian mechanics and differential equations.
Solve the equation of motion for a half Atwood machine using Lagrangian mechanics, exploring advanced physics concepts.
Discover the fastest path for a frictionless bead using random numbers to solve the Brachistochrone problem in physics.
Explore optimal path-finding across surfaces with varying travel speeds using Python and random number generation.
Explore orbital motion using polar coordinates, deriving equations and implementing numerical calculations in Python to visualize and analyze celestial mechanics.
Explore the physics of bungee jumping through a work-energy problem, calculating the stopping distance of a mass connected to a spring when dropped.
Model planetary orbits and verify Kepler's 2nd Law using Python, demonstrating equal area sectors in equal time periods through orbital motion simulations and sector area calculations.
Explore different solution methods for the simple harmonic oscillator equation, comparing trigonometric and exponential approaches and deriving constants using initial conditions.
Explore phase space plots for simple harmonic oscillators through hands-on coding and visualization techniques.
Explore the dynamics of a modified Atwood machine, analyzing acceleration in a complex pulley system with frictionless surfaces and varying masses.
Solve a challenging physics problem involving work and power calculations for a high-speed dragster acceleration scenario.
Solve a complex physics problem involving a heavy crate falling onto a spring, calculating impact speed and spring constant.
Solve a complex physics problem involving two connected blocks, friction, and constant motion to determine an unknown mass.
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