I would like to thank you for your videos. I have been learning a lot using your videos, and the quality of your explanations are by far the best I have found. I thank you so very much for the time, energy, and effort you have put in your teachings!!!!
Thank you. (And these videos wouldn't exist without the hard work of my wife who does all the filming, editing, producing, uploading and art work, including all the thumb nails). 🙂
My wife is the one who puts in most of the work making these videos. (Filming, editing, producing, and uploading) She also makes all the amazing thumbnails.
Firstly thank you for putting this series online for free. I am having a difficult time understanding this concept though, maths is not my strong suit. Is there a experiment I can conduct to see this principle of torque in a simpler system than a gyroscope?
When you say that the torque comes out of the board, though both the force and the vector from center of rotation to point of force application are in the plane of the board: is this just a convention used to specify clockwise versus counterclockwise rotation, resulting from the torque, within the plane of the board via the right hand rule? Or are you saying that an object in the plane of the board that is acted on by the torque that is said to be directed out of the board based on the cross product and right hand rule, that such an object would actually move (if unconstrained) out of the plane of the board. I never understood this since 1st year mechanics. If the latter is true, from where comes this motive force out of the board when all of the force exerted by the wrench is within the plane of the board? Would this become more intuitive if I could watch some experiments with gyroscopes? If the direction of the torque is more than just shorthand for the clockwise vs. counterclockwise nature of rotation purely within the plane of the force, is the direction of the cross product of two vectors then important to understanding the direction in which electromagnetic fields oscillate and propagate along waves?
Very good question. The direction of the torque (away from the board or into the board) corresponds to the tendency of the torque to rotate the object in the counterclockwise or clockwise direction respectively. However a torque applied to an object that can rotate and that has a moment of inertia, will cause it to have an angular acceleration and will give the object an angular momentum which also points outward or inward in the same way that the torque does. Note that the angular momentum (just like the linear) momentum is conserved which is what causes a rotating wheel (or wheels of a bicycle) to stay upright.
@@MichelvanBiezen Thank you for your answer, which inspired me to watch this demonstration, m.ruclips.net/video/ty9QSiVC2g0/видео.html. Now I think I could do an exam question on the topic, but would not yet say that I “understand” it.
Torque when acting on an object produces work. Work produces a change in energy and a change in momentum. Therefore momentum cannot be conserved if torque is applied.
How do we understand this then if you tell us that it's something we're going to ignore and then you toss out some crappy math that explains nothing to clarify HOW it works. Does the gyroscope just refer to some mathematical formula and then do what the math tells it to do? If so, how does the gyroscope learn math? I doesn't even have a brain.
Did you watch the last 5 videos in this playlist that explain how the gyroscope works? PHYSICS 13.5 ANGULAR MOMENTUM ruclips.net/p/PLX2gX-ftPVXVN2K-94gb_S2Yu3hLuV9xD
@crashsitetube - Lol. I can't tell if you are serious or not; mathematically, that equals great trolling. @Michel - I appreciate anyone who puts up free lectures. Skol.
crashsitetube Wow you are incredibly ignorant. did you pay attention in high school physics class? just because you don't understand the mathematics behind it does not mean that it does not follow these rules.
I didn't say (or wish to imply) that the gyroscope doesn't follow the 'rules' set out mathematically. That doesn't mean the math is right. It just means that, for engineering g purposes, it provides useful data. Nothing in the video tells HOW the gyroscope does what it can be observed to do. This is not unique.Math geniuses are not geniuses at math because they are insightful. They are good at math because they diligently and faithfully learned and rigorously follow the rules of math. In fact, they love to say that they 'rigorously' do that...with no small amount of pride...which I suspect you do as well. That takes a very procedures oriented mindset that usually (not always...but, usually and as exhibited by this presenter) of a very rigid, rote-learned knowledge base. So. You've told me how wrong I am. How about being useful and telling me just HOW a gyroscope manages to maintain its orientation when it's support point is clearly NOT aligned with its center of mass and why it falls over (as expected) when not spinning but, doesn't when it is spinning (fast enough). You at least strongly infer that it's done by the sheer force of mathematical calculation (calculated by ?).
Understanding the math allows us to form pictures and more clear concepts in our mind, reading it like you would a novel or poem that contains vivid imagery. But, I shall explain it to you, as you wish. Imagine a vertical disk, such as a wheel, with an arm extended on one side, sitting on a pole of sorts. The rotation of the gyroscope creates a force outwards and perpendicular to the disk or ring. The force of gravity causes torque, which is parallel and in one direction, and perpendicular to the force of momentum, away from the disk, causing to to spin on a fulcrum opposite to the force of momentum.
god it sucks to see this man age. You will always be one of the best man thanks for the videos
I would like to thank you for your videos. I have been learning a lot using your videos, and the quality of your explanations are by far the best I have found. I thank you so very much for the time, energy, and effort you have put in your teachings!!!!
Thank you. (And these videos wouldn't exist without the hard work of my wife who does all the filming, editing, producing, uploading and art work, including all the thumb nails). 🙂
Thanks Michel, love your videos, so well explained.
Sir i am from India.... Awesome lecture.... Very clearly you teach the concept of gyroscope
Welcome to the channel! 🙂
Thank you so much for making these vedios! They really help me prepare my final!!
My wife is the one who puts in most of the work making these videos. (Filming, editing, producing, and uploading) She also makes all the amazing thumbnails.
Great! Thank you so much for making all these videos!
Glad you like them!
Firstly thank you for putting this series online for free. I am having a difficult time understanding this concept though, maths is not my strong suit. Is there a experiment I can conduct to see this principle of torque in a simpler system than a gyroscope?
Ahh I see from your comments to someone else that this is partway through a series, I'll go back and watch the rest.
Yes, that will probably help
excellent
Thank you.
Thank you mr. Gru
Always welcome
Thank you so much!
When you say that the torque comes out of the board, though both the force and the vector from center of rotation to point of force application are in the plane of the board: is this just a convention used to specify clockwise versus counterclockwise rotation, resulting from the torque, within the plane of the board via the right hand rule? Or are you saying that an object in the plane of the board that is acted on by the torque that is said to be directed out of the board based on the cross product and right hand rule, that such an object would actually move (if unconstrained) out of the plane of the board. I never understood this since 1st year mechanics. If the latter is true, from where comes this motive force out of the board when all of the force exerted by the wrench is within the plane of the board? Would this become more intuitive if I could watch some experiments with gyroscopes? If the direction of the torque is more than just shorthand for the clockwise vs. counterclockwise nature of rotation purely within the plane of the force, is the direction of the cross product of two vectors then important to understanding the direction in which electromagnetic fields oscillate and propagate along waves?
Very good question. The direction of the torque (away from the board or into the board) corresponds to the tendency of the torque to rotate the object in the counterclockwise or clockwise direction respectively. However a torque applied to an object that can rotate and that has a moment of inertia, will cause it to have an angular acceleration and will give the object an angular momentum which also points outward or inward in the same way that the torque does. Note that the angular momentum (just like the linear) momentum is conserved which is what causes a rotating wheel (or wheels of a bicycle) to stay upright.
@@MichelvanBiezen Thank you for your answer, which inspired me to watch this demonstration, m.ruclips.net/video/ty9QSiVC2g0/видео.html. Now I think I could do an exam question on the topic, but would not yet say that I “understand” it.
You may enjoy this video as well: ruclips.net/video/fv_AinDLHJY/видео.html
Is this Precession?
No, that is not precession. Take a look at this video ruclips.net/video/fv_AinDLHJY/видео.html to see what precession looks like.
its difficult to visualize how a Torque perpendicular to the position vector and Force doesn't violate conservation of momentum
Torque when acting on an object produces work. Work produces a change in energy and a change in momentum. Therefore momentum cannot be conserved if torque is applied.
Good
And this torque concept was just made up to solve the equation?
The concept of torque is not made up. it is a phenomenon on nature and had to be discovered. We needed to invent the mathematics to define it.
awaw awesome
How do we understand this then if you tell us that it's something we're going to ignore and then you toss out some crappy math that explains nothing to clarify HOW it works. Does the gyroscope just refer to some mathematical formula and then do what the math tells it to do? If so, how does the gyroscope learn math? I doesn't even have a brain.
Did you watch the last 5 videos in this playlist that explain how the gyroscope works? PHYSICS 13.5 ANGULAR MOMENTUM ruclips.net/p/PLX2gX-ftPVXVN2K-94gb_S2Yu3hLuV9xD
@crashsitetube - Lol. I can't tell if you are serious or not; mathematically, that equals great trolling.
@Michel - I appreciate anyone who puts up free lectures. Skol.
crashsitetube Wow you are incredibly ignorant. did you pay attention in high school physics class? just because you don't understand the mathematics behind it does not mean that it does not follow these rules.
I didn't say (or wish to imply) that the gyroscope doesn't follow the 'rules' set out mathematically. That doesn't mean the math is right. It just means that, for engineering g purposes, it provides useful data.
Nothing in the video tells HOW the gyroscope does what it can be observed to do. This is not unique.Math geniuses are not geniuses at math because they are insightful. They are good at math because they diligently and faithfully learned and rigorously follow the rules of math. In fact, they love to say that they 'rigorously' do that...with no small amount of pride...which I suspect you do as well.
That takes a very procedures oriented mindset that usually (not always...but, usually and as exhibited by this presenter) of a very rigid, rote-learned knowledge base.
So. You've told me how wrong I am. How about being useful and telling me just HOW a gyroscope manages to maintain its orientation when it's support point is clearly NOT aligned with its center of mass and why it falls over (as expected) when not spinning but, doesn't when it is spinning (fast enough).
You at least strongly infer that it's done by the sheer force of mathematical calculation (calculated by ?).
Understanding the math allows us to form pictures and more clear concepts in our mind, reading it like you would a novel or poem that contains vivid imagery. But, I shall explain it to you, as you wish. Imagine a vertical disk, such as a wheel, with an arm extended on one side, sitting on a pole of sorts. The rotation of the gyroscope creates a force outwards and perpendicular to the disk or ring. The force of gravity causes torque, which is parallel and in one direction, and perpendicular to the force of momentum, away from the disk, causing to to spin on a fulcrum opposite to the force of momentum.