Rigid System of Particles Going to Continuous Limit

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=nMNWu4ZX340

Space Vehicle Dynamics ☄️Lecture 11: Multiparticle system 🧊 rigidity assumption. Rigid body of particles. Moment of inertia, physical interpretation. Moment of inertia matrix. Inertia tensor formula. • ► Next: Rigid Body Kinematics | Rotation Matrix Relating Two Frames in 2D 3D | Direction Cosine Matrix • • Rigid Body Kinematics Introduction | ... • ► Jump to rigid body dynamics of continuous mass distribution • • Moment of Inertia Matrix Principal ... • ► Previous, Worked Example of 2 Particle System | Matlab Tutorial | Implications of Energy and Momentum Conservation • • Worked Example of 2 Particle System| ... • ► 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 Boeing • Research website for ‪@ProfessorRoss‬ • http://shaneross.com • ► Follow me on Twitter • / rossdynamicslab • ► Lecture notes (PDF) • https://is.gd/SpaceVehicleDynamicsNotes • ► All course videos (playlist) • https://is.gd/SpaceVehicleDynamics • ► 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 • • #Rigidity #InertiaMatrix #MomentOfInertia #InertiaTensor #EngineeringDynamics #SystemOfParticles #ConservationOfEnergy #WorkedProblem #WorkedExample #Dumbbell #CenterOfMass #MatlabTutorial #Tutorial #Lecture #Matlab #NewtonsLaws #ConservationOfMomentum #SolutionStrategy #ProblemSolving #ProblemSolvingStrategy #TransportTheorem #RotatingFrame #InertialFrame #VectorDerivative #SatelliteGeometry #RotatingFrames #SpacecraftDynamics #SpaceVehicle #AttitudeDynamics #SpaceVehicleDynamics #RigidBodyDynamics #dynamics #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

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