Single Particle Dynamics | 1D and 2D Worked Examples скачать в хорошем качестве

Single Particle Dynamics | 1D and 2D Worked Examples

Space Vehicle Dynamics, Lecture 7: Conservative forces (gravity and spring) 🔥 Single particle dynamics examples in 1 and 2 dimensions. 3D multiple frame kinematic example. ► Next: Kinetic energy: where does it come from? | linear momentum, angular momentum, and worked examples    • Kinetic Energy- Where Does It Come From? |...   ► Previous, Rigid body dynamics overview | multiparticle system to continuous rigid mass distribution    • Rigid Body Dynamics Overview | Multi-parti...   Chapters 0:07 Conservative forces (forces from potential energy). Section 2.2 of Schaub and Junkins textbook (see below) 0:43 Newton's law of gravity 5:02 Spring, Hooke's law Single particle dynamics Section 2.3 of Schaub and Junkins book (see below) 7:03 1D examples of Newton’s Laws 7:19 no force 13:01 constant force 18:56 position-dependent force, simple harmonic oscillator 28:12 2D examples 28:28 Projectile motion 39:20 Pendulum equation of motion 53:57 3D multiple frame kinematic example ► More lectures posted regularly Be informed, subscribe https://is.gd/RossLabSubscribe​ ► Dr. Shane Ross, aerospace engineering professor, Virginia Tech Background: Caltech PhD | worked at NASA JPL and Boeing Research website for ‪@ProfessorRoss‬ 🔥 http://shaneross.com ► Follow me on Twitter   / rossdynamicslab   ► Space Vehicle Dynamics course videos (playlist)    • Spacecraft Attitude Dynamics & Control | O...   ► Lecture notes (PDF) https://drive.google.com/drive/folder... ► Reference: Schaub & Junkins, Analytical Mechanics of Space Systems, 4th edition, 2018 https://arc.aiaa.org/doi/book/10.2514... ► Topics covered in course https://is.gd/SpaceVehicleDynamics Typical reference frames in spacecraft dynamics Mission analysis basics: satellite geometry Kinematics of a single particle: rotating reference frames, transport theorem Dynamics of a single particle Multiparticle systems: kinematics and dynamics, definition of center of mass (c.o.m.) Multiparticle systems: motion decomposed into translational motion of c.o.m. and motion relative to the c.o.m. Multiparticle systems: imposing rigidity implies only motion relative to c.o.m. is rotation Rigid body: continuous mass systems and mass moments (total mass, c.o.m., moment of inertia tensor/matrix) Rigid body kinematics in 3D (rotation matrix and Euler angles) Rigid body dynamics; Newton's law for the translational motion and Euler’s rigid-body equations for the rotational motion Solving the Euler rotational differential equations of motion analytically in special cases Constants of motion: quantities conserved during motion, e.g., energy, momentum Visualization of a system’s motion Solving for motion computationally Other topics as time allows #NewtonianDynamics #ParticleDynamics #WorkedExamples #TransportTheorem #RotatingFrame #Kinematics #InertialFrame #VectorDerivative #SatelliteGeometry #RotatingFrames #SpacecraftDynamics #SpaceVehicle #AttitudeDynamics #SpaceVehicleDynamics #RigidBodyDynamics #dynamics #NewtonsLaws #LawsOfMotion #engineering #aerospace #ElonMusk #spacetravel #SpaceX #Boeing #Satellite #Satellites #SpaceDomainAwareness #NewtonsLaw #NewtonsLawofMotion #EquationOfMotion #Newtons2ndLaw #NewtonianMechanics #AOE3144 #Caltech #NASA #VirginiaTech #engineering #dynamics #mechanics #physics #mathematics #science #aerospace #mechanicalengineering #spacecraft #openaccess #OnlineCourse #technology #robotics #space #spaceindustry #math #biomechanics #vehicledynamics #simulation #aerodynamics #innovation #NewtonEuler #SingleDegreeofFreedom #LinearMotion #NonlinearDynamics #DynamicalSystems #AppliedMath #ChaosTheory #Bifurcation #DifferentialEquations #mathematics #Newton #math #FreeCourses #OnlineCourse #Lagrangianpoints #Lyapunov #VectorField #GraphicalMethod #FixedPoints #EquilibriumPoints #NonlinearODEs #StablePoint #UnstablePoint #Stability #LinearStability #StabilityAnalysis #VectorField #Pendulum #Poincare​ #mathematicians #maths #mathstudents #mathematician #mathfacts #mathskills #mathtricks