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  1. In 1851, a French physicist suspended a metal ball from a 67-metre wire, and it became one of the first direct proofs that the Earth rotates |

    Most of us accept that the Earth rotates because we have been taught i…
    #NewsBeep #News #Physics #1851physicsexperiment #AU #Australia #classicalmechanics #earthrotationexperiment #earth'srotationdemonstration #famousscienceexperiments #howtheearthrotates #léonfoucault #panthéonparis #prooftheearthrotates #Science
    newsbeep.com/au/782862/

  2. In 1851, a French physicist suspended a metal ball from a 67-metre wire, and it became one of the first direct proofs that the Earth rotates |

    Most of us accept that the Earth rotates because we have been taug…
    #NewsBeep #News #Physics #1851physicsexperiment #classicalmechanics #earthrotationexperiment #earth'srotationdemonstration #famousscienceexperiments #howtheearthrotates #léonfoucault #panthéonparis #prooftheearthrotates #Science #UK #UnitedKingdom
    newsbeep.com/uk/676844/

  3. Noether’s Theorem: Symmetry→Conservation Law.

    Symmetries of the action imply conserved quantities per Noether's theorem.

    A path q(t) is shifted by δq = φ but smoothed in transition layers τ wide at t0 and t1, where Δq̇ ≈ φ/τ. Action changes there approximate ΔS ≈ (∂L/∂q̇) Δq̇ τ ≈ −(∂L/∂q̇ φ)(t1) and ≈ +(∂L/∂q̇ φ)(t0).
    Symmetry sets total ΔS = 0, hence (∂L/∂q̇ φ) is conserved from t0 to t1.

    Momentum conservation's derivation from space translation symmetry and energy conservation from time translation symmetry in mechanics and physics is done by it.

    #NoethersTheorem #Physics #TheoreticalPhysics #ClassicalMechanics #AnalyticalMechanics #LagrangianMechanics #Symmetry #ConservationLaws #ActionPrinciple #CalculusOfVariations #Mathematics #STEM #Science #PhysicsEducation #LearnPhysics #QuantumPhysics #FieldTheory #GeneralizedCoordinates #MomentumConservation #EnergyConservation #AngularMomentum #TheoreticalScience #PhysicsNotes #Infographic #ScienceCommunication #EducationalContent #EMNoether #MathPhysics #PhysicsStudents #STEMEducation

  4. Noether’s Theorem: Symmetry→Conservation Law.

    Symmetries of the action imply conserved quantities per Noether's theorem.

    A path q(t) is shifted by δq = φ but smoothed in transition layers τ wide at t0 and t1, where Δq̇ ≈ φ/τ. Action changes there approximate ΔS ≈ (∂L/∂q̇) Δq̇ τ ≈ −(∂L/∂q̇ φ)(t1) and ≈ +(∂L/∂q̇ φ)(t0).
    Symmetry sets total ΔS = 0, hence (∂L/∂q̇ φ) is conserved from t0 to t1.

    Momentum conservation's derivation from space translation symmetry and energy conservation from time translation symmetry in mechanics and physics is done by it.

    #NoethersTheorem #Physics #TheoreticalPhysics #ClassicalMechanics #AnalyticalMechanics #LagrangianMechanics #Symmetry #ConservationLaws #ActionPrinciple #CalculusOfVariations #Mathematics #STEM #Science #PhysicsEducation #LearnPhysics #QuantumPhysics #FieldTheory #GeneralizedCoordinates #MomentumConservation #EnergyConservation #AngularMomentum #TheoreticalScience #PhysicsNotes #Infographic #ScienceCommunication #EducationalContent #EMNoether #MathPhysics #PhysicsStudents #STEMEducation

  5. Noether’s Theorem: Symmetry→Conservation Law.

    Symmetries of the action imply conserved quantities per Noether's theorem.

    A path q(t) is shifted by δq = φ but smoothed in transition layers τ wide at t0 and t1, where Δq̇ ≈ φ/τ. Action changes there approximate ΔS ≈ (∂L/∂q̇) Δq̇ τ ≈ −(∂L/∂q̇ φ)(t1) and ≈ +(∂L/∂q̇ φ)(t0).
    Symmetry sets total ΔS = 0, hence (∂L/∂q̇ φ) is conserved from t0 to t1.

    Momentum conservation's derivation from space translation symmetry and energy conservation from time translation symmetry in mechanics and physics is done by it.

    #NoethersTheorem #Physics #TheoreticalPhysics #ClassicalMechanics #AnalyticalMechanics #LagrangianMechanics #Symmetry #ConservationLaws #ActionPrinciple #CalculusOfVariations #Mathematics #STEM #Science #PhysicsEducation #LearnPhysics #QuantumPhysics #FieldTheory #GeneralizedCoordinates #MomentumConservation #EnergyConservation #AngularMomentum #TheoreticalScience #PhysicsNotes #Infographic #ScienceCommunication #EducationalContent #EMNoether #MathPhysics #PhysicsStudents #STEMEducation

  6. Noether’s Theorem: Symmetry→Conservation Law.

    Symmetries of the action imply conserved quantities per Noether's theorem.

    A path q(t) is shifted by δq = φ but smoothed in transition layers τ wide at t0 and t1, where Δq̇ ≈ φ/τ. Action changes there approximate ΔS ≈ (∂L/∂q̇) Δq̇ τ ≈ −(∂L/∂q̇ φ)(t1) and ≈ +(∂L/∂q̇ φ)(t0).
    Symmetry sets total ΔS = 0, hence (∂L/∂q̇ φ) is conserved from t0 to t1.

    Momentum conservation's derivation from space translation symmetry and energy conservation from time translation symmetry in mechanics and physics is done by it.

    #NoethersTheorem #Physics #TheoreticalPhysics #ClassicalMechanics #AnalyticalMechanics #LagrangianMechanics #Symmetry #ConservationLaws #ActionPrinciple #CalculusOfVariations #Mathematics #STEM #Science #PhysicsEducation #LearnPhysics #QuantumPhysics #FieldTheory #GeneralizedCoordinates #MomentumConservation #EnergyConservation #AngularMomentum #TheoreticalScience #PhysicsNotes #Infographic #ScienceCommunication #EducationalContent #EMNoether #MathPhysics #PhysicsStudents #STEMEducation

  7. ⚙️ Weight lifting and physics are essentially the same thing. Most people just never think of it that way.
    Newton's laws, torque, lever arms, elastic energy. Your body is a system of levers, and every good lift is a small lesson in classical mechanics. 🏋️
    This explainer breaks it down really well. Worth a few minutes of your Monday.
    🔗 buff.ly/gEr6nQj

    #Physics #ClassicalMechanics #Science #Mechanics #STEM

  8. ⚙️ Weight lifting and physics are essentially the same thing. Most people just never think of it that way.
    Newton's laws, torque, lever arms, elastic energy. Your body is a system of levers, and every good lift is a small lesson in classical mechanics. 🏋️
    This explainer breaks it down really well. Worth a few minutes of your Monday.
    🔗 buff.ly/gEr6nQj

    #Physics #ClassicalMechanics #Science #Mechanics #STEM

  9. ⚙️ Weight lifting and physics are essentially the same thing. Most people just never think of it that way.
    Newton's laws, torque, lever arms, elastic energy. Your body is a system of levers, and every good lift is a small lesson in classical mechanics. 🏋️
    This explainer breaks it down really well. Worth a few minutes of your Monday.
    🔗 buff.ly/gEr6nQj

    #Physics #ClassicalMechanics #Science #Mechanics #STEM

  10. ⚙️ Weight lifting and physics are essentially the same thing. Most people just never think of it that way.
    Newton's laws, torque, lever arms, elastic energy. Your body is a system of levers, and every good lift is a small lesson in classical mechanics. 🏋️
    This explainer breaks it down really well. Worth a few minutes of your Monday.
    🔗 buff.ly/gEr6nQj

    #Physics #ClassicalMechanics #Science #Mechanics #STEM

  11. Bumblebees and Ellipsoids (Poinsot’s Paper Spaceship #3)

    In the movie Ice Age, Manny the Mammoth says he is not fat - just poofy! It is just the fur! I feel the same must be true for bumblebees - they are fluffy, but not really fat! And yes, these were the things going through my mind, when I created this geometric drawing: A sphere is intersected by a "fat" ellipsoid that is neither an oblate UFO nor an elongated zeppelin. Poinsot's Paper Spaceship #3 - Bumblebee by elkement 2025. Geometric drawing of an ellipsoid intersecting a sphere […]

    elkement.art/2025/07/25/bumble

  12. Bumblebees and Ellipsoids (Poinsot’s Paper Spaceship #3)

    In the movie Ice Age, Manny the Mammoth says he is not fat - just poofy! It is just the fur! I feel the same must be true for bumblebees - they are fluffy, but not really fat! And yes, these were the things going through my mind, when I created this geometric drawing: A sphere is intersected by a "fat" ellipsoid that is neither an oblate UFO nor an elongated zeppelin. Poinsot's Paper Spaceship #3 - Bumblebee by elkement 2025. Geometric drawing of an ellipsoid intersecting a sphere […]

    elkement.art/2025/07/25/bumble

  13. Bumblebees and Ellipsoids (Poinsot’s Paper Spaceship #3)

    In the movie Ice Age, Manny the Mammoth says he is not fat - just poofy! It is just the fur! I feel the same must be true for bumblebees - they are fluffy, but not really fat! And yes, these were the things going through my mind, when I created this geometric drawing: A sphere is intersected by a "fat" ellipsoid that is neither an oblate UFO nor an elongated zeppelin. Poinsot's Paper Spaceship #3 - Bumblebee by elkement 2025. Geometric drawing of an ellipsoid intersecting a sphere […]

    elkement.art/2025/07/25/bumble

  14. Here we see three identical pendulums, oscillating independently. The red and purple ones are vibrating with small amplitudes and so their periods are nearly the same. But the blue one is undergoing what would be considered to be very large amplitude oscillations and has a significantly longer period. In fact, as the amplitude approaches π radians, the period increases without bound and approaches infinity.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  15. Here we see three identical pendulums, oscillating independently. The red and purple ones are vibrating with small amplitudes and so their periods are nearly the same. But the blue one is undergoing what would be considered to be very large amplitude oscillations and has a significantly longer period. In fact, as the amplitude approaches π radians, the period increases without bound and approaches infinity.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  16. Here we see three identical pendulums, oscillating independently. The red and purple ones are vibrating with small amplitudes and so their periods are nearly the same. But the blue one is undergoing what would be considered to be very large amplitude oscillations and has a significantly longer period. In fact, as the amplitude approaches π radians, the period increases without bound and approaches infinity.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  17. Here we see three identical pendulums, oscillating independently. The red and purple ones are vibrating with small amplitudes and so their periods are nearly the same. But the blue one is undergoing what would be considered to be very large amplitude oscillations and has a significantly longer period. In fact, as the amplitude approaches π radians, the period increases without bound and approaches infinity.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  18. The above is only strictly true for “small” amplitudes. If the #pendulum is subject to large amplitudes, it is no longer governed by the simple linear differential equations alluded to above. Given that the rod remains rigid and no energy is dissipated, the pendulum #equations may still be solved exactly, though they are now #nonlinear.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  19. The above is only strictly true for “small” amplitudes. If the #pendulum is subject to large amplitudes, it is no longer governed by the simple linear differential equations alluded to above. Given that the rod remains rigid and no energy is dissipated, the pendulum #equations may still be solved exactly, though they are now #nonlinear.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  20. The above is only strictly true for “small” amplitudes. If the #pendulum is subject to large amplitudes, it is no longer governed by the simple linear differential equations alluded to above. Given that the rod remains rigid and no energy is dissipated, the pendulum #equations may still be solved exactly, though they are now #nonlinear.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  21. The above is only strictly true for “small” amplitudes. If the #pendulum is subject to large amplitudes, it is no longer governed by the simple linear differential equations alluded to above. Given that the rod remains rigid and no energy is dissipated, the pendulum #equations may still be solved exactly, though they are now #nonlinear.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  22. In elementary #mechanics we are taught about the #SimplePendulum, which is modelled as a point #mass hanging via a rigid #rod or #string of a given length, under uniform #gravity. This simple model is also useful in introducing #OrdinaryDifferentialEquations and helps us to understand #SimpleHarmonicMotion.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  23. In elementary #mechanics we are taught about the #SimplePendulum, which is modelled as a point #mass hanging via a rigid #rod or #string of a given length, under uniform #gravity. This simple model is also useful in introducing #OrdinaryDifferentialEquations and helps us to understand #SimpleHarmonicMotion.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  24. In elementary #mechanics we are taught about the #SimplePendulum, which is modelled as a point #mass hanging via a rigid #rod or #string of a given length, under uniform #gravity. This simple model is also useful in introducing #OrdinaryDifferentialEquations and helps us to understand #SimpleHarmonicMotion.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  25. In elementary #mechanics we are taught about the #SimplePendulum, which is modelled as a point #mass hanging via a rigid #rod or #string of a given length, under uniform #gravity. This simple model is also useful in introducing #OrdinaryDifferentialEquations and helps us to understand #SimpleHarmonicMotion.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation