I am an engineer having 7 years of work experience in Structural field and today's the day I actually got to know what Moment of Inertia literally means.
MR Pee they are not meeting up with the standards even though they are getting payed by the standards, Basically the tutors on TH-cam deserve more than this and people who don’t do their job right don’t
@@mrpee2482 so it is absurdly pathetic that countless college professors are incapable of communicating basic principles in their field. Maybe 10% of my professors have been reasonably good
"If you don't know Calculus that would just look like witchcraft to you." I don't know why anyone would need a better reason to listen to these lectures. I laughed audibly enough for my neighbors to be concerned about my well-being. 10/10 would play on loop.
This is really useful, thanks! I was having a hard time understanding what exactly this was, then someone in upper year physics recommended this. Also, thanks for having closed captioning. I'm watching this on a library computer, and you can't easily get volume with that.
I saw this video, and when I saw the collection of point masses, I said "Hey! This is just a Riemann sum," I can figure by just integrating all the "point masses" together. I was able to verify the equation of I for a sphere this way.
This helps so much. My teacher & book have been throwing different values of inertia around with zero explanation or what the heck the significance of a point mass is. While I still need some more work with it, this has cleared up so much of the mystery as to why 1/2, 1/3, 1/12 and so on.
Well, my Math teacher used 3 months to teach all the thing that we are supposed to learn in this whole year, its like one chapter one lesson. And everyone failed the exam beside those insanely smart students. Than my Math teacher be like, I know you guys got this, all of you are smart, just pay more attention so you can pass. -_-
In this video they discuss about Mass moment of inertia, but didn't mention that. It should be mentioned that mass moment of inertia and area moment of inertia are different.
Moment of inertia for a solid beam and hollow beam please!! There is nothing about this that is very helpful on youtube! Thanks..though i have a wee test on this on Monday
Freshman in college trying to take physics- if you take the integral of the general equation of inertia, i could swear that you get I=(1/3)*mL^3 and when changing the axis of the rod, you should be able to use the same integrated formula but just divide L by the farthest points if the farthest points are equal on both ends
It is a misnomered term, that has nothing to do with inertia. A better name for it is "second moment of area". It is a concept that is analogous to the moment of inertia, except you replace differential mass in the integral, with differential area. It is a property that indicates the geometric stiffness of a cross section to support a bending load.
Sir, moment of inertia for a disc or hollow cylinder is 1/2 mr^ but whole mass of the cylinder is distributed at a same distance that is r so why it is 1/2 mr^ not MR squr
At first it seemed counterintuitive given torque/moment increases with distance, but imagine being spun on ice skates holding an object close to you or farther away.
I am guessing that for the moment of Inertia for the cylinder you should have to take the integral of m*r² for dm. This should be 1/2m²r², why is the mass not to the second in your video?
What is inertia telling us. I have to find inertia in a wood beam and I end up with 1230 in cubed. What does that mean. That 1230 cubed of the wood beam is the minimum for it not to be overturned? but at what force?
Which "moment of inertia" are you talking about, because the term is used for two unrelated concepts? Moment of inertia as discussed in this video has the units kilograms-meter^2. The other kind of "moment of inertia" that should really be called "second moment of area" has the units meters^4 (or other distance units). Moment of inertia in this context, refers to the mass moment of inertia, which is a body's resistance to a change in state of rotational motion, that when multiplied by angular velocity gives angular momentum. It is a property of mass, shape, and distribution of mass. The other concept is the "area moment of inertia" or "second moment of area", which has *nothing to do with inertia*. This is purely a geometric property of a cross sectional shape, that indicates a structural shape's geometric stiffness against bending. The product of the second moment of area and Young's modulus, indicates how stiff a beam cross section is, against bending. This combination of factors relates bending moment to curvature of the beam. The reason it is called "area moment of inertia", despite having nothing to do with inertia, is that it has a lot of properties in common with the way we define mass moment of inertia. The essential difference is that we integrate relative to an infinitesimal area element dA, instead of relative to an infinitesimal mass element dm.
one question, you keep saying "if you do that integral", but what integral? i would actually know how to solve cause in my physics exam i dont have acess to any paper saying what the moment of inertia is for which case :/
I would like to make a device to measure the moment of inertia of a bat or tennis racquet in an axis 10cm from the end of the handle. Can anyone help me? If necessary we can use arduino as devices to measure acceleration and angles. Thanks
That is a different kind of "moment of inertia", that really has *nothing to do with inertia*. A better name for it is "second moment of area". It is called "moment of inertia" because it has a lot of properties in common with mass moment of inertia, but the essential difference is that dm is replaced with dA. In other words, instead of using a differential mass element in the integral, we use a differential area element. A better name for it that is also used, is "second moment of area". An application of the second moment of area, is as a geometric measure of the stiffness of a beam cross section. This term, along with Young's Modulus, gives us the beam stiffness term.
Because mass that is farther away from the axis of rotation contributes to its angular momentum in two separate factors. Angular momentum is r cross (m*v), where r is the distance from the axis of rotation. For a rigid body, the tangential velocity is proportional to radius as well, via the angular velocity. Both of these factors together, mean that the radius is squared in the moment of inertia definition.
isn't this supposed to be the other way? mass away from centre will make easier movement. for example we can close/open a door easily if force is applied away from the hinges
Imagine trying to swing around a jug of milk tied to the end of a 10m string vs trying to rotate it when it's in your hands (both cases you're the axis of rotation)
I am an engineer having 7 years of work experience in Structural field and today's the day I actually got to know what Moment of Inertia literally means.
Welcome to the club
Then what your where doing last 7 years without knowing how to balance the weight equally
hol up
This is the reason our country is still "developing"
These "dumb" people get jobs but don't know what they are dealing with..
I know you mean it as something funny, but it is actually something being dangerously very ironic
My professor has a Ph.D., but still, he didn't explain like this. He has 3 hours per week to teach.
Hahaha same, welcome to the bigboys study hall
Okay ... So what ?
MR Pee they are not meeting up with the standards even though they are getting payed by the standards,
Basically the tutors on TH-cam deserve more than this and people who don’t do their job right don’t
@@Born2Losenot2win Okay
@@mrpee2482 so it is absurdly pathetic that countless college professors are incapable of communicating basic principles in their field. Maybe 10% of my professors have been reasonably good
"If you don't know Calculus that would just look like witchcraft to you."
I don't know why anyone would need a better reason to listen to these lectures. I laughed audibly enough for my neighbors to be concerned about my well-being. 10/10 would play on loop.
ahhahahahhah damn ur comment made me laugh a little too hard too
Trevor loop means
Had the same reaction and went to look through the comments to feel validated.
now I am.
Dave you just saved a man's CGPA
This is really useful, thanks! I was having a hard time understanding what exactly this was, then someone in upper year physics recommended this.
Also, thanks for having closed captioning. I'm watching this on a library computer, and you can't easily get volume with that.
Excellent explanation. Thanks
Gratitude from India :)
u just made my life 10times easier. i wish u were my professor in physics
I'm quitting uni and just watching your videos now man. You cover this in no time but I'm sitting in 3 hour lectures? 🙄. Thank you!!
Thank you!!!! , khan academy has always been a life saver for me.
Thank you so very much. Ur teaching method is so dynamic and clear. Please don't stop uploading. 🙏🙏 Great video
I saw this video, and when I saw the collection of point masses, I said "Hey! This is just a Riemann sum," I can figure by just integrating all the "point masses" together. I was able to verify the equation of I for a sphere this way.
Would be nice if you back up your lectures with calculations when you say inertia becomes 1/3 or 1/12 ..
This helps so much. My teacher & book have been throwing different values of inertia around with zero explanation or what the heck the significance of a point mass is. While I still need some more work with it, this has cleared up so much of the mystery as to why 1/2, 1/3, 1/12 and so on.
Excellent video, very good explanation. I have a question: what are the differences between the MIM and the Volume Moment of Inertia?
Great explanation! And I'm actually happy that you didn't do the calculus, so i can do it myself...
I am about to literally drop out of my college and major in interpretive dancing or something IDK.
Very well explained! Thank you so much.
You don't know what have you uploaded my dear you are God of physics for me from now❤❤❤❤❤❤❤❤❤❤❤❤❤❤
thank you my ap physics teacher is useless
vmar same my teacher cant solve some of the easy problems
well, my teacher is smart genius, the problem is he thinks everyone in class is a genius. SO, we can't catch up to his pace...
ilmi haqim abdul nasir lord I know the feeling- everyone in my class failed a test and he said Aw Damn Sucks To Suck and moved onto the next unit.
2 years later this video saves another student's life :)
Well, my Math teacher used 3 months to teach all the thing that we are supposed to learn in this whole year, its like one chapter one lesson. And everyone failed the exam beside those insanely smart students. Than my Math teacher be like, I know you guys got this, all of you are smart, just pay more attention so you can pass. -_-
In this video they discuss about Mass moment of inertia, but didn't mention that.
It should be mentioned that mass moment of inertia and area moment of inertia are different.
I like the way u teach! Clarified all my questions!! thanks :)
Moment of inertia for a solid beam and hollow beam please!! There is nothing about this that is very helpful on youtube! Thanks..though i have a wee test on this on Monday
this saved my life, ty
I am preparing for indian embassy examination from you channel😃😃 I appreciate your help.
Thank you very much.😃😃
Freshman in college trying to take physics- if you take the integral of the general equation of inertia, i could swear that you get I=(1/3)*mL^3 and when changing the axis of the rod, you should be able to use the same integrated formula but just divide L by the farthest points if the farthest points are equal on both ends
You have to divide the mass by L in order to get that fraction of mass in each little slice you're adding up
We are not dumb teacher's teaching makes us to feel that we are dumb
Grateful explanation
This is really amazing
I can't believe I' saying this, but could you point me in the direction of the calculus for this? Great video.
Great explanation to understand.... thank you... hope to get more...
What about the second moment of inertia for deflecting a beam?
It is a misnomered term, that has nothing to do with inertia. A better name for it is "second moment of area". It is a concept that is analogous to the moment of inertia, except you replace differential mass in the integral, with differential area. It is a property that indicates the geometric stiffness of a cross section to support a bending load.
Thank you very much
Bro this is really helpful, thank you
It's been a great help to study kinetics.
thank you so much
Very helpful. Thank you.
Thanks
omg brilliant!!!!!
Thank you❤❤❤❤ so much ❤❤❤
thanks david
Think you
what exactly are we taking the intergal of ?
Sir, moment of inertia for a disc or hollow cylinder is 1/2 mr^ but whole mass of the cylinder is distributed at a same distance that is r so why it is 1/2 mr^ not MR squr
You just saved my career! Thank you!
@@huzaifaabedeen6509 nah just a student
Just” learn calculus “ he says it so easily
great content, thanks alot
At first it seemed counterintuitive given torque/moment increases with distance, but imagine being spun on ice skates holding an object close to you or farther away.
How moment of inertia of axial fan can be calculated
Very helpful explanation and example. Great work!
Thank-you
Nice explanation, thanks alot
Thanks that was very helpfull !
Thank you!!!
THANK YOU
what if the center of the mass is on the center of the rotation axis?should we take r =0
thank you .....what is the program you are using?
why is the distance squared?
But sir a point mass never rotates.
Then how can we say that this point mass is rotating?
well done
I am guessing that for the moment of Inertia for the cylinder you should have to take the integral of m*r² for dm. This should be 1/2m²r², why is the mass not to the second in your video?
Please dont stop making these awesome videos !!! = ]
i have a test on monday and i really need help ,do u have old physics test about the momentum angular momentum thank u
what is that app? please
Thanx sir
tq
4:31 4:33 for
What is inertia telling us. I have to find inertia in a wood beam and I end up with 1230 in cubed. What does that mean. That 1230 cubed of the wood beam is the minimum for it not to be overturned? but at what force?
Which "moment of inertia" are you talking about, because the term is used for two unrelated concepts? Moment of inertia as discussed in this video has the units kilograms-meter^2. The other kind of "moment of inertia" that should really be called "second moment of area" has the units meters^4 (or other distance units).
Moment of inertia in this context, refers to the mass moment of inertia, which is a body's resistance to a change in state of rotational motion, that when multiplied by angular velocity gives angular momentum. It is a property of mass, shape, and distribution of mass.
The other concept is the "area moment of inertia" or "second moment of area", which has *nothing to do with inertia*. This is purely a geometric property of a cross sectional shape, that indicates a structural shape's geometric stiffness against bending. The product of the second moment of area and Young's modulus, indicates how stiff a beam cross section is, against bending. This combination of factors relates bending moment to curvature of the beam. The reason it is called "area moment of inertia", despite having nothing to do with inertia, is that it has a lot of properties in common with the way we define mass moment of inertia. The essential difference is that we integrate relative to an infinitesimal area element dA, instead of relative to an infinitesimal mass element dm.
one question, you keep saying "if you do that integral", but what integral? i would actually know how to solve cause in my physics exam i dont have acess to any paper saying what the moment of inertia is for which case :/
I would like to make a device to measure the moment of inertia of a bat or tennis racquet in an axis 10cm from the end of the handle. Can anyone help me? If necessary we can use arduino as devices to measure acceleration and angles.
Thanks
what sofrtware and device do u use to make your vidz
Sir can you please explain me ,how moment of inertia of circular section of diameter D is {(πD^4)/64}
Actually in this video they discuss about Mass moment of inertia , {(pi.D^4)/64} is area moment of inertia.
That is a different kind of "moment of inertia", that really has *nothing to do with inertia*. A better name for it is "second moment of area". It is called "moment of inertia" because it has a lot of properties in common with mass moment of inertia, but the essential difference is that dm is replaced with dA. In other words, instead of using a differential mass element in the integral, we use a differential area element. A better name for it that is also used, is "second moment of area". An application of the second moment of area, is as a geometric measure of the stiffness of a beam cross section. This term, along with Young's Modulus, gives us the beam stiffness term.
I suggest you learn calculus
why is I proportional to square of radius??
Because mass that is farther away from the axis of rotation contributes to its angular momentum in two separate factors. Angular momentum is r cross (m*v), where r is the distance from the axis of rotation. For a rigid body, the tangential velocity is proportional to radius as well, via the angular velocity. Both of these factors together, mean that the radius is squared in the moment of inertia definition.
isn't this supposed to be the other way? mass away from centre will make easier movement. for example we can close/open a door easily if force is applied away from the hinges
Imagine trying to swing around a jug of milk tied to the end of a 10m string vs trying to rotate it when it's in your hands (both cases you're the axis of rotation)
No . That's a completely different concept
7 people who disliked are people who are the living testament of “madness”
came here for the calculations of moment of inertia, disapointed!
Please add Bangla subtitles
STEM PA MGA TNGAA AHAHHAHAHAH
So what are the calculus topics you're required to cover in order to fully understand this lesson ?
Bleeding Knife
You need to know the basics of differential and integeral calculus
Awesome educational video and an even better joke... "If you don't know Calculus that would just look like witchcraft to you." hahaha
اووووف يلهندسة😫
6:00 reducing radius by swinging a bat from the fat end? No. Tha reduces mass. Radius stays the same. Are we nuts here?
The place where we hold is where the axis is located...now think
....
Poor explanation 😏
How moment of inertia of axial fan can be calculated
Thanks