4001 Analytical Mechanics
4001 Analytical Mechanics
Page Created: July 2024
Tag: 4001
MLX stands for Matlab's live script .mlx files
Check home page for instructions on how to download files.
(Last update: October 2024)
Learning Outcomes: Gain proficiency with MATLAB fundamentals, Practice proper plotting, Write and annotate basic MATLAB livescripts, Help with MATLAB using the help pages
Source file: PHYS4001/Matlab_onramp.F2024.tex
Learning Outcomes: Solve differential equations using Matlab’s ODE45, Practice proper plotting, Help with Matlab using the help pages.
Source file: PHYS4001/Discussion1.tex
History: Used in F2023, F2024
Solution TEX Solution MLX TA Guide PDF TA Guide TEX
(Last update: October 2024)
Learning Outcomes: Solve a first-order differential equation using finite differences
Source file: PHYS4001/Discussion1-HW-F2024.tex
(Last update: October 2024)
Learning Outcomes: Identify regimes of laminar and turbulent flows, Gain experience in using log-log plots to display the behavior of a physical system over a large dynamic range, Gain experience with plotting and presentation
Source file: PHYS4001/4001-HW1-turbulent-laminar-flow.tex
History: Used in F2023, F2024
(Last update: October 2024)
Learning Outcomes: Solve two coupled first order differential equations
Source file: PHYS4001/Discussion2.HW.F2024.tex
History: F2024
(Last update: November 2024)
Learning Outcomes: Study the effect of drag on the trajectory of an object, practice solving second-order, coupled ODE
Source file: PHYS4001/HW3.4001.2024.tex
History: F2024
(Last update: November 2024)
Learning Outcomes: Solve the rocket equation with constant gravity, Practice with multi-stage rockets, Illustrate the importance of fuel fraction and burn rate, Make plots to visualize some of the physics
Source file: PHYS4001/HW6.F2024.tex
History: F2023, F2024
(Last update: October 2024)
Learning Outcomes: Practice the use of a 'for' loop, Use ODE45 to solve a second order ODE, assess the role of accuracy in solving differential equations numerically
Source file: PHYS4001/HW2-4001-24Fall.tex
History: F2024
(Last update: November 2024)
Learning Outcomes: Solve and analyze a pendulum harmonic oscillator without a small angle approximation, Use ODE45 to solve a second order ODE
Source file: PHYS4001/Discussion3.HW.F2024.tex
History: F2023, F2024
(Last update: October 2024)
Learning Outcomes: Observe the behavior with time of a damped one-dimensional oscillator; Program a mathematical equation of motion while accounting properly for initial conditions; Gain experience with plotting and presentation; Use a ‘for’ loop (or a function)
Source file: PHYS4001/HW1.2023.tex
(Last update: October 2024)
Learning Outcomes: Work with Fourier series expansion, Understand the relation between the force's Fourier components and the displacements, Solve a problem with coupled oscillators
Source file: PHYS4001/HW5.F2024.tex
History: F2023, F2024
(Last update: November 2024)
Learning Outcomes: Work with energy diagrams; Gain experience with the Lagrangian formulation; Find small angle solutions near a stable equilibrium
Source file: PHYS4001/discussion4.HW.F2024.tex
History: F2023, F2024
(Last update: November 2024)
Learning Outcomes: Solve differential equations numerically to obtain an exact solution, Observe the exact solution of small perturbations near an equilibrium, Integrate a numerical solution, Convert from polar to Cartesian coordinates
Source file: PHYS4001/HW7.2023.tex
History: F2023
(Last update: December 2024)
Learning Outcomes: Expand your knowledge of working with differential equations; Gain more insight about the magnitude of the effects due to Earth’s rotation
Source file: PHYS4001/HW11.2024.tex
History: Used in F2023, F2024
(Last update: December 2024)
Learning Outcomes: Calculate the center of mass and moment of inertia (MOI), Diagonalize the MOI tensor and find principal axes and moments numerically, Use normalized quantities, Visualize the principal axes relative to the body, Practice the relation between angular momentum and angular velocity
Source file: PHYS4001/HW10.2024.tex
History: Used in F2023, F2024
(Last update: December 2024)
Learning Outcomes: Find the eigenvectors and eigenmodes of a two-mass oscillating system, Generalize the two-mass matrix problem to larger dimensions and visualize the physical behavior
Source file: PHYS4001/HW13P4.2024.tex
History: F2024
(Last update: December 2024)
Learning Outcomes: Solve a non-linear differential equation using iterations, Display the behavior of decaying solutions and of solutions with fixed points
Source file: PHYS4001/HW13P3.2024.tex
History: F2024
(Last update: July 2024)
Source file: PHYS4001/Quiz1.4001.Home.tex
History: Used in F2023
Take Home: PDF TEX Solution PDF Solution MLX
(Last update: December 2024)
Source file: PHYS4001/FinalExam2023P2.tex
History: Used in F2023
Take Home: PDF TEX Solution PDF Solution MLX
(Last update: October 2024)
Source file: PHYS4001/Quiz1-4001-TakeHome-24Fall.tex
History: Used in F2024
Take Home: PDF TEX Solution PDF Solution MLX
(Last update: December 2024)
Source file: PHYS4001/Quiz2.4001.v1.TakeHome.tex
History: Used in F2024
Take Home: PDF TEX Solution PDF Solution MLX
(Last update: December 2024)
Source file: PHYS4001/FinalExam2024.TakeHome.tex
History: Used in F2024
Take Home: PDF TEX Solution PDF Solution MLX