Moment of Inertia

How to calculate the moment of inertia

Пікірлер: 109

  • @radadela8630
    @radadela8630 Жыл бұрын

    This so well explained and in a very simple way!Thank you very much for making this video,it helped me a lot😊!

  • @kritz_b
    @kritz_b5 жыл бұрын

    Sir...u made me understand this very clearly...thank u sooo much!!

  • @oceanhorn3055
    @oceanhorn30555 ай бұрын

    Wish i had a teacher like you...thank you so much for your videos its really helpful....

  • @gabor6259
    @gabor62596 жыл бұрын

    When did Benedict Cumberbatch take a physics class?

  • @yoprofmatt

    @yoprofmatt

    6 жыл бұрын

    Cumberbatch can do anything! Cheers, Dr. A

  • @apocalypticbean

    @apocalypticbean

    4 жыл бұрын

    how the fuck does that look like Battlefield Counterstrike?

  • @leadersaver5
    @leadersaver5 Жыл бұрын

    Thank you for explaining. My test is tomorrow and I did not have any information to understand, but thank you for clarifying some points for me.

  • @abderrahmanezerouali2381
    @abderrahmanezerouali23816 жыл бұрын

    Sir Anderson , It's a pleasure to watch your courses ; greeting from an engineer in a cargo ship

  • @yoprofmatt

    @yoprofmatt

    6 жыл бұрын

    Thanks for letting me know where you're watching these. That's awesome. Be safe. Cheers, Dr .A

  • @thomask.5444

    @thomask.5444

    3 жыл бұрын

    @@yoprofmatt In the example with the wheel of mass M, is the shape a solid disc (i.e. mass throughout the whole circle) or a hollow ring?

  • @ubuntukali2997
    @ubuntukali29973 жыл бұрын

    I am not clear why this genius professor of physics has only 95.1k subscribers

  • @KidsandKittens217
    @KidsandKittens2176 жыл бұрын

    My dog won't let me watch this video. The pen in the video is making a squeaking noise that's driving my dog crazy!!!

  • @yoprofmatt

    @yoprofmatt

    6 жыл бұрын

    Or perhaps your dog already understands physics! Cheers, Dr. A

  • @bulldozer7962

    @bulldozer7962

    3 жыл бұрын

    @@yoprofmatt holy cow

  • @ahmedmukhtar9121

    @ahmedmukhtar9121

    3 жыл бұрын

    Its driving me crazy.

  • @debapriyachakraborty6658
    @debapriyachakraborty66586 жыл бұрын

    Really helps me at school.....thanks

  • @smilealways9341
    @smilealways93415 жыл бұрын

    Your lectures are awesome sir..love from India

  • @yoprofmatt

    @yoprofmatt

    5 жыл бұрын

    Much love back to India. Cheers, Dr. A

  • @ru_biks
    @ru_biks2 жыл бұрын

    Wow! 7yrs ago... And this video is still helpful. Thanks 😊

  • @yoprofmatt

    @yoprofmatt

    2 жыл бұрын

    Glad it was helpful! Cheers, Dr. A

  • @sag20101
    @sag201014 жыл бұрын

    My concepts is clear now . Thx professor 👍😊

  • @yoprofmatt

    @yoprofmatt

    4 жыл бұрын

    SURYAKANT GAIKWAD, You're very welcome. Glad you're enjoying the videos. You might also like my new site: www.universityphysics.education Cheers, Dr. A

  • @oceanview3165
    @oceanview31657 жыл бұрын

    I really wish you would be my physics professor at college. I like the way you explain every topic.

  • @yoprofmatt

    @yoprofmatt

    7 жыл бұрын

    Fahim, Well there's a sure cure for that. Come to San Diego State University! Cheers, Dr. A

  • @oceanview3165

    @oceanview3165

    7 жыл бұрын

    Haha..It would be great prof. Anderson. By the way, thank you so much for your respond.

  • @danieljohncanedacatudio5072

    @danieljohncanedacatudio5072

    3 жыл бұрын

    sometimes it's not about the professor,,, it's very unfortunate when we have a very talkative seatmate. Even in the middle of discussions it keeps on talking until we get distracted from the discussion.

  • @valeriereid2337
    @valeriereid2337 Жыл бұрын

    Thanks so much for making this topic understandable.

  • @jbsc6180
    @jbsc61804 жыл бұрын

    GREAT VIDEOS...……..Your spatial skills are off the charts writing backwards like that

  • @yoprofmatt

    @yoprofmatt

    4 жыл бұрын

    JBSC, Thanks for the comment, and keep up with the physics! You might also like my new website: www.universityphysics.education Cheers, Dr. A

  • @arunbalaji7059
    @arunbalaji70595 жыл бұрын

    Thank You very much for this video sir and you look like Dr. Strange ;>)

  • @En_theo

    @En_theo

    4 жыл бұрын

    Also McGyver (original version) with a new haircut :)

  • @Julian-sy5pp
    @Julian-sy5pp5 жыл бұрын

    Love from India sir❤️

  • @srilankanbob2179
    @srilankanbob21793 жыл бұрын

    Nice sir keep going love from srilanka...❤

  • @smileyacasa1185
    @smileyacasa11856 жыл бұрын

    thank you soo much, everything is clear now

  • @venomgaming6108
    @venomgaming61088 күн бұрын

    Love your videos

  • @RicardoHernandez-nd5pp
    @RicardoHernandez-nd5pp4 жыл бұрын

    Fine explications, Profesor. Excelent. Please continue with with your classes

  • @AntoinetteDavido
    @AntoinetteDavido4 жыл бұрын

    DUDE THE PEN SQUEAKING DX

  • @yoprofmatt

    @yoprofmatt

    4 жыл бұрын

    Antoinette, Pen squeak is truly awful. We are fixing the audio on my new website: www.universityphysics.education Cheers, Dr. A

  • @bijujoseph6527
    @bijujoseph65274 жыл бұрын

    Wow.. it was helpful.. thnku so much sir

  • @yoprofmatt

    @yoprofmatt

    4 жыл бұрын

    Biju Joseph, You're very welcome. Glad you're enjoying the videos. You might also like my new site: www.universityphysics.education Cheers, Dr. A

  • @carbon273
    @carbon2735 жыл бұрын

    He reminds of the MC from prison break.

  • @NZC_Meow
    @NZC_Meow9 ай бұрын

    Thank god someone explained how to get those constants in front of MR²

  • @niranjanmahajan1096
    @niranjanmahajan10965 жыл бұрын

    Wow .. you are Amazing..

  • @yoprofmatt

    @yoprofmatt

    5 жыл бұрын

    Thank you. I'm sure you're amazing too. Cheers, Dr. A

  • @charlesloh5494
    @charlesloh54944 жыл бұрын

    There's also a Mr. Anderson for AP Environmental Science wtf Maybe all the Mr. Andersons have a talent for teaching, unlike the teachers I have at school it seems

  • @behrengi9786
    @behrengi9786Ай бұрын

    My cat likes this professor. Apparently, the squeaky sounds of his pen sound like birds to her :D

  • @xoxo-wy7wn
    @xoxo-wy7wn4 жыл бұрын

    Regards from an Indian student..... This is soooo simple 💯🔥

  • @joyousaf571
    @joyousaf5715 жыл бұрын

    Love from South Korea

  • @derangedpsychopath
    @derangedpsychopath3 жыл бұрын

    This is great video. i think inertia moment would be much easier to understand if you did make at least one more example of how to calculate moment of inertia, for example of a cube . thanks

  • @carultch

    @carultch

    2 жыл бұрын

    The easiest examples are examples with circular symmetry, as you can split them in to shapes with a known moment of inertia from first principles. For instance, consider a solid cylinder. of length L and radius R To make it interesting, suppose its density has cylindrical symmetry, but is not uniform. Suppose its density at distance r from the axis is given by rho(r) = J - K*r, where J and K are constants. Start by considering a mass element that is a thin hollow cylinder of thickness dr at position r from its center. The volume of this mass element is 2*pi*r*L*dr. The mass of each infinitesimal mass element is therefore dm = 2*pi*L*rho(r)*r*dr. We can find the total mass by integrating: m = int 2*pi*L*rho(r)*r*dr We are also interested in integrating r^2*dm from r=0 to R. I = int 2*pi*L*rho(r)*r*r^2*dr I'll leave the rest of the steps to you. At the end of the calculation, you'll get: m = pi*L/3 * (3*J - 2*K*R)*R^2 I = pi*L/10 * (R^4 (5*J - 4*K*R)) In terms of total mass: I = 3/10*m*R^2 * (5*J - 4*K*R)/(3*J - 2*K*R) When K = 0, which would mean density is uniform, instead of linearly varying with r, this reduces to: I = 1/2*m*R^2, which is the formula to use for a solid uniform cylinder.

  • @adamchachaofficial8313
    @adamchachaofficial8313 Жыл бұрын

    Thanks for explaining

  • @MuhammadNasir-ub5kn
    @MuhammadNasir-ub5kn2 жыл бұрын

    Thank you so much sir, I really appreciate you for your cooperation.👍👍👍👍

  • @yoprofmatt

    @yoprofmatt

    2 жыл бұрын

    It's my pleasure. Cheers, Dr. A

  • @transformer889
    @transformer8894 жыл бұрын

    I have watched a whole lot of videos on this subject and this is the best. Where mr2 comes from, it is from kinetic energy formula, E=1/2mv2, where v=rw , it was nice if Dr. Anderson had included this in his video.

  • @yoprofmatt

    @yoprofmatt

    4 жыл бұрын

    transformer889, Thanks for the comment, and keep up with the physics! You might also like my new website: www.universityphysics.education Cheers, Dr. A

  • @atruety
    @atruety4 жыл бұрын

    Love from india I love physics

  • @ibrahimabulwifa4296
    @ibrahimabulwifa42965 жыл бұрын

    love it

  • @yoprofmatt

    @yoprofmatt

    5 жыл бұрын

    Not the usual reaction to moment of inertia, but I'll take it. Cheers, Dr. A

  • @ryanshi1365
    @ryanshi13655 жыл бұрын

    Good job! But how to make this kind of video, that's interesting..

  • @AkamiChannel

    @AkamiChannel

    3 жыл бұрын

    All you need is a camera, glass, and a marker. Then use software to flip the video horizontally.

  • @QueenDee-cb7gd
    @QueenDee-cb7gd3 жыл бұрын

    YES SIR, SALUTE

  • @derricktapia2098
    @derricktapia20985 ай бұрын

    Juuuuuuuuuuuuuu-sssss. Belo. Pricisly at the point, of squaring. Belo was put to rest, amd there was no squaring. Infortunatly. And the same goes for his other buddies, at the East, amd the South gate. The departed will be remembered².

  • @hdualsjei3alegw9wp45
    @hdualsjei3alegw9wp455 жыл бұрын

    I learned a ton from this video. I still don't understand what moment of inertia actually is.

  • @jbingram1502

    @jbingram1502

    4 жыл бұрын

    Classic. This happens when mathematicians explain physics or when physicists believe that physics is primarily about maths.

  • @carultch

    @carultch

    2 жыл бұрын

    It's the rotational equivalent to the m in Newton's second law. It is a property that depends on mass, shape, distribution of mass, and axis of rotation, which quantifies how difficult it is to give a rigid body an angular acceleration.

  • @hozaifaessam6853
    @hozaifaessam68535 жыл бұрын

    why we multiply the mass of the particle by the square radius of rotation when we calculate the moment of inertia? why it is not without that square ? and is it wrong(or why it is wrong) if we said that moment of inertia= mass of the object multiplyed by square destance from the center of gravity of that object ?

  • @marcioamaral7511

    @marcioamaral7511

    5 жыл бұрын

    Look up dimensional analysis, proportionality and take some calc II or III, that should be able to answer your question

  • @Eagle_1174
    @Eagle_11744 жыл бұрын

    Love from India

  • @yoprofmatt

    @yoprofmatt

    4 жыл бұрын

    Aryavat Era, Love back to India! You might also like my new website: www.universityphysics.education Cheers, Dr. A

  • @FAROUK_TAMER
    @FAROUK_TAMER4 жыл бұрын

    Thanks doctor I want to communicate with you

  • @arelisaldana4448
    @arelisaldana44484 жыл бұрын

    I wish my physics professor would go at this pace...

  • @yoprofmatt

    @yoprofmatt

    4 жыл бұрын

    Areli, Pacing is important. Thanks for the comment, and keep up with the physics! You might also like my new website: www.universityphysics.education Cheers, Dr. A

  • @vishwanthpilot7648
    @vishwanthpilot76485 жыл бұрын

    legendary lectures....but i have a big question which i did not get any reply from anyone ,i too dont have any idea .what is meant by moment and moment of inertia.

  • @anuragbhandari7262

    @anuragbhandari7262

    4 жыл бұрын

    Effective mass

  • @anuragbhandari7262

    @anuragbhandari7262

    4 жыл бұрын

    It can be relaTed to pressur e as area increases pressure decreases for the whole system the same for MOI as mass is more and more distributed over a large surface it becomes less effective

  • @carultch

    @carultch

    2 жыл бұрын

    The term moment (in general) means quantity multiplied by distance from an origin. This is why torque is called "moment of a force", and why dipole moments get their name. Same with moments of inertia. It really is a second moment of mass, because the radius is squared, but we call it moment of inertia or rotational inertia. What moment of inertia means, is an effective property of how the mass of a rotating body is distributed, to form an analogous property to mass when writing the angular equivalent of Newton's second law. Instead of the linear F_net=m*a, moment of inertia is used for the angular tau_net = I*alpha, that is analogous to Fnet=m*a. There is an analogous quantity in structural analysis called "second moment of area" that is calculated in a similar manner, and often called "area moment of inertia" as a misnomer. It has nothing to do with inertia, because it really is the integral of each infinitesimal area element times r^2, rather than each mass element.

  • @basitakbar12345
    @basitakbar123454 жыл бұрын

    Sir Anderson,how can we calculate moment of inertia for a frustum as its shape is not uniform

  • @mibrahim4245

    @mibrahim4245

    4 жыл бұрын

    for any non-uniform shape you need to just do the integral !, you can also divide it into multiple geometries to ease the solution ! ..

  • @yoprofmatt

    @yoprofmatt

    4 жыл бұрын

    bbasit, Yep, you've got to do a (potentially complicated) integral. Thanks for the comment, and keep up with the physics! You might also like my new website: www.universityphysics.education Cheers, Dr. A

  • @mechgate
    @mechgate6 жыл бұрын

    hello sir, thank you for such a great video. I have question that does the rapid change in cross section would affect the n second moment of area near the area where rapid changes occur? thanks in advanced. waiting for ur positive response

  • @mikeozy8639

    @mikeozy8639

    6 жыл бұрын

    yes

  • @mechgate

    @mechgate

    6 жыл бұрын

    Can you tell me the relationship ?

  • @MrMonty4life
    @MrMonty4life2 жыл бұрын

    Did anyone else see the glitch at 1:45? The simulation is deteriorating. We are witnessing here the great collapse ppl

  • @gretawilliams8799
    @gretawilliams87996 жыл бұрын

    5:21 But the r isn't constant Why is it made a constant?

  • @yoprofmatt

    @yoprofmatt

    6 жыл бұрын

    You're right that in general, r does not need to be constant. However, for the wheel at 5:39, r is constant since the wheel has a fixed radius. Cheers, Dr. A

  • @chibey6199
    @chibey61993 жыл бұрын

    What is the book that you are referring to

  • @yoprofmatt

    @yoprofmatt

    3 жыл бұрын

    Chi Bey, Knight, "Principles of Physics" Thanks for the comment, and keep up with the physics! You might also like my new website: www.universityphysics.education Cheers, Dr. A

  • @biggbuck9535
    @biggbuck95355 жыл бұрын

    Why do we SQUARE the r?

  • @carultch

    @carultch

    2 жыл бұрын

    Because there are two factors that make it contribute twice to the equation. Factor 1: Because it is a rigid body, each point on the body has to complete a circumference in the same period of rotation. This means that the linear velocity is proportional to the radial position from the axis of rotation. Factor 2: Angular momentum is r cross linear momentum. The angular momentum of a point mass is proportional to its position from the axis of rotation. The two factors combine to become a squaring of the r in the integral that calculates moment of inertia in general. This means that for most circular objects, you'll see that moment of inertia is equal to k*M*R^2, where k is a factor that depends on shape, M is the total mass, and R is the radius of the object.

  • @andropk9346
    @andropk9346 Жыл бұрын

    man you looks like bennedikt cumberbatch i swear

  • @Titurel
    @Titurel3 жыл бұрын

    Ten points to Ravenclaw for backward writing

  • @SHA-il6zj
    @SHA-il6zj5 жыл бұрын

    Dr.s.murphy dad

  • @yoprofmatt

    @yoprofmatt

    5 жыл бұрын

    Like the good doctor? Cheers, Dr. A

  • @manassehkyamulanda1847
    @manassehkyamulanda18472 жыл бұрын

    Which is what we call ''' dm ''

  • @yoprofmatt

    @yoprofmatt

    2 жыл бұрын

    Yep, dm is an infinitesimal mass element. Integrate over all the mass with each appropriate r^2 and you've got it. Cheers, Dr. A

  • @manassehkyamulanda1847

    @manassehkyamulanda1847

    2 жыл бұрын

    @@yoprofmatt thank you for everything ❤️

  • @lindsaysylvia2611
    @lindsaysylvia26115 жыл бұрын

    the squeaky marker

  • @yoprofmatt

    @yoprofmatt

    5 жыл бұрын

    Brutal, isn't it? Got better ones now. Cheers, Dr. A

  • @fiji4977
    @fiji4977 Жыл бұрын

    Does this man really write backwards? hehe xD

  • @jakemcf
    @jakemcf4 жыл бұрын

    SQUEAK

  • @aarijimam832
    @aarijimam8322 жыл бұрын

    Bruh is defying the Laws of Physics by writing on air and expecting us to not be able to tell. We are not that stupid sir.

  • @tylersehon120
    @tylersehon1203 жыл бұрын

    the poor students have to decode all the backwards handwriting

  • @carultch

    @carultch

    2 жыл бұрын

    He plays a live-feed on a monitor to his side, so that the students who see him teaching in the flesh, can see the mirrored footage live, and read his handwriting normally. This means that he has to plan in advance to use his left hand to demonstrate the right-hand rule, so that his mirrored footage shows a right hand demonstrating it.

  • @justinloiacono6903
    @justinloiacono69032 жыл бұрын

    Does no one realize he is writing everything backwards?

  • @yoprofmatt

    @yoprofmatt

    2 жыл бұрын

    Tried that. Too hard. kzread.info/dash/bejne/dYt8r9aMfq7eiaQ.html Cheers, Dr. A

  • @Islam-Noor313

    @Islam-Noor313

    2 ай бұрын

    No, they mirror the video