Angular Momentum Cross Product

Angular Momentum as the cross product is demonstrated and derived. Want Lecture Notes? www.flippingphysics.com/angula... This is an AP Physics C: Mechanics topic.
Content Times:
0:00 Newton’s Second Law Review
0:45 The Demonstration
1:05 The Derivation
4:56 Back to Newton’s Second Law
6:34 The Rigid Body is not needed
Next Video: Angular Momentum of a Rigid Body Derivation
www.flippingphysics.com/angula...
Previous Video: Cross Product Torque (with a Cross Product Review)
www.flippingphysics.com/torque...
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Thank you to Julie Langenbruner, John Paul Nichols, and Scott Carter being my Quality Control Team for this video. flippingphysics.com/quality-co...
#CrossProduct #AngularMomentum #APPhysicsC

Пікірлер: 39

  • @johnunverzagt9387
    @johnunverzagt93872 жыл бұрын

    That fact about not needing the rigid body might be weird, but it does have a real world use. In orbital mechanics, using those three vectors: speed, velocity, and angular momentum one can calculate all of the properties of the given object’s orbit. My mind was blown when I found out that a satellite has angular momentum with respect to the orbit’s gravitational focus. (I.e whatever planet or body it is orbiting). That fact was not mentioned in my Newtonian physics classes, and I first encountered it as a sophomore in undergrad whilst taking Introduction to Astronautics. Thank you for your wonderfully clear explanation!

  • @FlippingPhysics

    @FlippingPhysics

    2 жыл бұрын

    Thanks for the observations. Very nice to have that perspective.

  • @rahuldubey7490
    @rahuldubey74902 жыл бұрын

    Best physics teacher u r giving us free and quality education very much thanks for this sir and the hardwork you do behind each video is very much appreciable .

  • @FlippingPhysics

    @FlippingPhysics

    2 жыл бұрын

    Thanks for the love!

  • @Mallikadinesh-h2q
    @Mallikadinesh-h2q2 жыл бұрын

    This same concept is being thought to us now in college . Thank youuuu .

  • @malamudtania1053
    @malamudtania10532 жыл бұрын

    Your videos help me a lot, un abrazo desde Argentina😄

  • @FlippingPhysics

    @FlippingPhysics

    2 жыл бұрын

    Gracias por el abrazo. Envío uno desde los Estados Unidos. 😁

  • @sahasras2647
    @sahasras26472 жыл бұрын

    That's such an clear and wonderful explanation! Thanks for the efforts sir!

  • @FlippingPhysics

    @FlippingPhysics

    2 жыл бұрын

    Glad it was helpful!

  • @flanker1497
    @flanker14972 жыл бұрын

    Dedication at its peak!! U are really an inspiration for many students Lots of love

  • @FlippingPhysics

    @FlippingPhysics

    2 жыл бұрын

    Thanks for the love!

  • @MohiniGiri704
    @MohiniGiri7042 жыл бұрын

    U helped me a lot for cleaning concept of physics ❤️love from india 💓 love for flipping physics

  • @FlippingPhysics

    @FlippingPhysics

    2 жыл бұрын

    I am very glad to help you learn physics!

  • @julielangenbrunner9212
    @julielangenbrunner92122 жыл бұрын

    Looks good!

  • @FlippingPhysics

    @FlippingPhysics

    2 жыл бұрын

    Thanks!

  • @andrewjustin256
    @andrewjustin2563 ай бұрын

    Mr. P why didn't you choose this pathway to derive the equation: £Torque = I alpha £Torque = l dw/dt But I dw = dL £Torque = dL/t Where £ is uppercsse Epsilon.

  • @technotux7835
    @technotux78352 жыл бұрын

    Do I have to study 3D vectors in order to study dot and cross vector multiplication?

  • @dingus42

    @dingus42

    2 жыл бұрын

    for cross product yes, because it is an operation defined for 3D vectors :)

  • @carultch

    @carultch

    2 жыл бұрын

    In the special case that both given vectors are in the x-y plane, the cross product will be in the z-direction. This simplifies the amount of complexity you could have with 3D vectors, because all inputs to the cross product would reduce to 2D vectors in the x-y plane, and the output would be limited to the dimension of the z-axis.

  • @gowrissshanker9109
    @gowrissshanker91092 жыл бұрын

    Respected sir, IS A photon of violet light is brighter than A photon of red light...what does brightness depends on?? Amplitude or energy?? Thank you sir

  • @lastmiles

    @lastmiles

    2 жыл бұрын

    That is a quantum physics question and you asked about a "particle" of light while dragging in wavelength of light at the same time. Very messy or you are just being tricky.

  • @carultch

    @carultch

    2 жыл бұрын

    Brightness depends on the relative sensitivity of human eyes to each color of light. There is a bell curve across the visible spectrum that peaks at 540 THz, where it takes the fewest W/m^2 of light to generate 1 lux of brightness, and that bell curve is close to symmetric. In a hypothetical alternate reality where humans were uniformly sensitive to the entire spectrum, brightness would depend on intensity of light. I.e. the Watts/meter^2. This means that when you see red light and violet light that appear equally bright (assuming that you compare two spectral colors that humans are equally sensitive to seeing), that the red light would have a much larger population density of photons per second per square meter. As for amplitude (as in maximum Newtons/Coulomb of electric field, or maximum Teslas of magnetic field), the amplitude of an electromagnetic wave is the same for all EM waves of the same intensity, regardless of frequency. See the concept of Poynting vector, and the cross product relationship of wave speed, electric field and magnetic field. Intensity is proportional to amplitude squared, and the equation is independent of frequency.

  • @AyalaMrC
    @AyalaMrC2 жыл бұрын

    Yup. That's pretty weird. Good episode. 👍

  • @FlippingPhysics

    @FlippingPhysics

    2 жыл бұрын

    Agreed. Thanks for previewing!

  • @Mallikadinesh-h2q
    @Mallikadinesh-h2q2 жыл бұрын

    The fact that you agreed in the end of the video that it is weard makes me feel good. 😁 . I'm not the only one . 🙄

  • @FlippingPhysics

    @FlippingPhysics

    2 жыл бұрын

    You are not the only one

  • @Test-ph1vk
    @Test-ph1vk2 жыл бұрын

    Hi. I think there's something wrong. The vector formula Torque = Inertia x Angular Acceleration is *incorrect*. It's because the moment of inertia may be different for each axis when considering the x,y,z components of the formula.

  • @Test-ph1vk

    @Test-ph1vk

    2 жыл бұрын

    Btw, this is mentioned on HRK's Physics

  • @carultch

    @carultch

    2 жыл бұрын

    @@Test-ph1vk It's not that it is incorrect, just simplified to the case of uniaxial torque & rotation. Indeed moment of inertia is different for the different axes, even given the same shape. As long as the moment of inertia used in this formula is consistent with the axis of rotation, it is a correct formula. The full concept of moment of inertia requires a 3x3 tensor called the inertia tensor, rather than a simple scalar, and there is a form of multiplication that enables the tensor to interact with the other two formulas. This is far beyond the scope of what a high school student is expected to understand.

  • @krishoberoi
    @krishoberoi2 жыл бұрын

    why cant we see sun's shadow?

  • @flanker1497

    @flanker1497

    2 жыл бұрын

    because we are blind

  • @carultch

    @carultch

    2 жыл бұрын

    Because the Sun is a light source, rather than a light sink. We can see the shadow that objects in the Sun cast, and we can see the shadows from the Moon and the Earth during special conditions called eclipses, but the Sun itself has no intrinsic shadow.

  • @xicad1533
    @xicad15332 жыл бұрын

    You should speak with mandlbaur... he's incorrectly using this

  • @FlippingPhysics

    @FlippingPhysics

    2 жыл бұрын

    yeah...

  • @xicad1533

    @xicad1533

    2 жыл бұрын

    @@FlippingPhysics i see you've heard of him lol

  • @carultch

    @carultch

    2 жыл бұрын

    ​@@FlippingPhysics I investigated Mandlbaur's claim that angular momentum isn't conserved when radius changes. The problem I made up to do so, uses a point mass that would be in uniform circular motion, but receives a constant force toward the origin that exceeds the initial m*v^2/r, in order to move closer to the origin with zero torque. From first principles and your lesson on Euler's method, it confirms conservation of angular momentum, and consistency of KE with work. Mandlbaur called it an "appeal to tradition fallacy" when I showed it to him. The shape of the path surprised me. I expected it to spiral in toward the origin, and continue to get closer. It appears to be an ellipse, centered on the origin, whose major axis is rotating about the origin as it is drawn. But it "bounces back" to its full original radius, shortly after 180 degrees of rotation. As expected, there is the special case where it reduces to uniform circular motion.

  • @krishoberoi
    @krishoberoi2 жыл бұрын

    who named god "GOD"?

  • @flanker1497

    @flanker1497

    2 жыл бұрын

    God's father

  • @carultch

    @carultch

    2 жыл бұрын

    The Dutch did.