The Applied Maths Tutor
The Applied Maths Tutor
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Curvilinear III Intrinsic N T Coordinates
This is part 3/3 of Curvilinear motion in which i cover the use and derivation of Intrinsic Coordinates.
Переглядів: 3 065

Відео

Curvilinear II Polar Coordinates
Переглядів 4,1 тис.10 років тому
This is video 2/3 on Curvilinear motion in which I introduce the use and derive the equations of motion using a polar coordinate system.
Curvilinear I Parametric
Переглядів 88410 років тому
This is part 1/3 for curvilinear motion. In this video I use assume our y displacement and our x displacement are given by functions of time and we use these to find speed and acceleration at given time values
Resisted motion in a straight line - Air resistance
Переглядів 85810 років тому
In this video I introduce using calculus to deal with forces that are a function of the object's velocity.
Equation of Trajectory - Kinematics
Переглядів 85 тис.10 років тому
In this video I derive the equation of trajectory and use it to find the range of trajectory and the maximum height obtained during this motion
1st Moment of Area/Centroid
Переглядів 69 тис.10 років тому
This video goes through a couple of examples of finding the centroid of simple composite shapes using both the arithmetic mean and arguments of symmetry
Second Moment of Area from 1st principles
Переглядів 50 тис.10 років тому
In this video I introduce the method of finding the second moments of area of basic shapes from first principles.
Differentiation from first principles - Calculus
Переглядів 11 тис.10 років тому
This video tries to explain where our simplified rules for differentiation come from. Deriving the result from first principles.
Kinematics - SUVAT
Переглядів 1,5 тис.10 років тому
In this video, I derive the 4 main SUVAT equations graphically. Note that this derivation requires no calculus knowledge.
Linear Simultaneous Equations
Переглядів 15910 років тому
This video is a introduction to solving Linear Simultaneous Equations using both the Substitution and Elimination methods

КОМЕНТАРІ

  • @isaacmalik3714
    @isaacmalik3714 2 роки тому

    now i can calculate the trajectory of my piss at the urinal!

  • @phee3D
    @phee3D 2 роки тому

    do you still post educational content somewhere? I find your teaching method of going into the whys of equations exceptionally helpful

  • @neutron-au
    @neutron-au 2 роки тому

    Hello everyone from the past, present and future of year 12 ATAR Physics :)

  • @eadigi3057
    @eadigi3057 2 роки тому

    I am going to use this in Bedwars

  • @henrynwosu6277
    @henrynwosu6277 2 роки тому

    What I'm asking is how did the first formular come about. The integral of y squared d A

  • @josephpostma1787
    @josephpostma1787 3 роки тому

    What is a "Tantitem" and a "Cosliter"?

  • @Speki_
    @Speki_ 3 роки тому

    if someone sees my comment by any change can you tell me how to apply this math if you already know the height that the object is being thrown at and the distance it travels

    • @josephpostma1787
      @josephpostma1787 3 роки тому

      I don't know but I want to learn the capabilities of my mortar and how high and far and fast the shell will fly with a certain powder charge/gas seal and firing angle.

    • @fallaway-lol
      @fallaway-lol 2 роки тому

      at max height the y component of the velocity will be 0; the distance it travels in x is the x component of the initial velocity times the time it takes for the object to fall down (height =0)

    • @phee3D
      @phee3D 2 роки тому

      in this situation you could use the equation he made at around 4:15, replace y with the height the max height that you said you already know and replace x with 1/2 of the distance it travels and then finally solve for u to get the initial velocity.

    • @phee3D
      @phee3D 2 роки тому

      @@fallaway-lol he mentioned he only knows the maximum height and the total distance travelled. He probably wants to find the initial velocity.

  • @thomb.9013
    @thomb.9013 3 роки тому

    Ok but how about the reverse kinematics?

  • @bismarkabakahmensah1256
    @bismarkabakahmensah1256 3 роки тому

    So good

  • @yassineeissa2046
    @yassineeissa2046 3 роки тому

    Thank You!

  • @rajusatappagol8361
    @rajusatappagol8361 3 роки тому

    Thanks

  • @sergiotejedomartin4179
    @sergiotejedomartin4179 3 роки тому

    Math ia type beat

  • @alexm.8619
    @alexm.8619 4 роки тому

    I'm in 8th grade why am I here.

  • @superuser8636
    @superuser8636 4 роки тому

    Great explanation and use of the local extrema! Love these tutorials and breaking equations down into what they symbolize.

  • @alexanderrussell266
    @alexanderrussell266 4 роки тому

    legend

  • @pederslothzuricho7685
    @pederslothzuricho7685 4 роки тому

    my brain goes this can't work in case you throw the object in dir zenith, as this would require you to divide with something that could be zero, at which point the term for t can't be valid either. Which im guessing i why i remember the problem from highschool described as "sloped throw", please enlighten me if I am forgetting or missing something.

  • @norfadzliamohdyusof1950
    @norfadzliamohdyusof1950 4 роки тому

    thank you sir

  • @ebooks4all81
    @ebooks4all81 4 роки тому

    Consider to use the program POLYGONS to calculate and verify easy all this properties of triangles and polygons (moments of inertia, principal moments of inertia, product of inertia, centroid and more) -> jamarana.com/polygons

  • @geothaliyath9311
    @geothaliyath9311 4 роки тому

    Great Great Thanks for video and Great explanation. Once more Great Thanks. Applying above logic in opencv

  • @AntonioMendoza_3
    @AntonioMendoza_3 5 років тому

    I'm the 600 sub

  • @geoffreywilliams7705
    @geoffreywilliams7705 5 років тому

    This is the best method for derivation of the trajectory formula!

  • @techface1960
    @techface1960 5 років тому

    thanks

  • @siphenathimdludla502
    @siphenathimdludla502 5 років тому

    Thanks

  • @ItsColdUpHereFilms
    @ItsColdUpHereFilms 5 років тому

    You're a fuckin beauty, bud. Great explanation.

  • @anzatzi
    @anzatzi 5 років тому

    I have been trying to work this out on my own--impressively presented. thanks!

  • @husk160
    @husk160 5 років тому

    Lol I’m in sixth grade and I still understood, good job and thx man!

  • @Lily-cl6zk
    @Lily-cl6zk 6 років тому

    thank you! amazing

  • @V2weapons
    @V2weapons 6 років тому

    who else is here a day before there exam XD

  • @jacobojore5630
    @jacobojore5630 6 років тому

    Thanks slot guys

  • @adamchaudhry1721
    @adamchaudhry1721 7 років тому

    Great explanation! Cheers

  • @abrahamprashathapt4140
    @abrahamprashathapt4140 7 років тому

    Excellent dude.....!

  • @amanchaure5584
    @amanchaure5584 7 років тому

    sir ,I have a. doubt there should be dy in place of dx and y in place of x because of the particular directions of x and y axis.when you will go in x direction the distance should me measured in terms of x and same for the y direction

  • @pikinskills
    @pikinskills 7 років тому

    Please consider the right axes.

  • @enigma8374
    @enigma8374 7 років тому

    How to consider the value of u ?

    • @henrifrancais
      @henrifrancais 7 років тому

      Not quite sure what you mean - u is the initial speed of the projectile, usually expressed in m/s.

    • @enigma8374
      @enigma8374 7 років тому

      I mean to say that how to find the value of initial velocity ?

    • @henrifrancais
      @henrifrancais 7 років тому

      It is a parameter, just like the initial angle, theta, and the gravitational field strength, g. It will have to be provided or some other information provided in order to work it out. For example, if you were given the maximum height or maximum range, you could use these values to estimate the initial speed, u.

    • @randyr.ottele8553
      @randyr.ottele8553 6 років тому

      Think of it as how fast is the bullet (projectile) traveling the instant it leaves the gun. The bullets Initial Velocity (that's if we are talking about guns and bullets in our example). So the bigger or more powerful the gun fired, the faster the bullet will be traveling once it leave the gun. This info must be given to you before you can do any of these calculations. It can be calculated separately but you must know all the variables of Internal ballistics, like how much powder is in the bullet and how big the bullet is etc...etc. This type of callulation is a whole subject to its own.

    • @yemalkegin
      @yemalkegin 4 роки тому

      If you want to consider the value of u that means you already took the shot or threw the stone, therefore, you should have a result of an experiment that gives you the horizontal distance, and from that variable, you can now talk about the initial velocity by simply calculating with your observational values.

  • @joanet1714
    @joanet1714 7 років тому

    You are wrong. The definition you gave is not for a centroid but for a centre of gravity. The centroid is the geometrical point of an object from which the object itself is equally distributed. If assumed that the density and gravitational field are constant throughout the object then yes, the centroid, the centre of gravity and the centre of mass coincide. But it-s not correct to define the centroid as you do in the beginning.

    • @theappliedmathstutor5472
      @theappliedmathstutor5472 7 років тому

      Although I agree that the centroid and centre of gravity are distinct, for students first learning these concepts (particularly those struggling with the intuition) equating these ideas allows access to solving related problems. The main application which utilises the centroid is that of structural mechanics, particularly bending of beams. And when students first approach these concepts they deal with isotropic beams that exist in uniform gravitational fields, in these, most common situations, the centroid and the centre of gravity are one and the same. Furthermore, any formulation which models objects from the real world is bounded by numerous assumptions and restrictions; and in my experience of teaching, particularly when students are first approaching these concepts, the fine details of these modelling assumptions can get between the student and the concept at hand. For example, would your extended definition be useful for dealing with composite material problems including fluids? Any problem can be abstracted to positions which cause the simple model we use to breakdown, do Newton's laws hold inside a black hole, for example? Or is the basic linear response of a spring valid for large deflections? Would a cubic model be better for that situation? The point is, that doesn't help the person who is struggling to grasp the concept of restoring forces or gravity or even finding the neutral axis of a structural beam. Finally, this is not a peer-reviewed paper published in a journal, it's a video to help students grasp an idea they may be struggling with. It's not a place for pedantry. It's a place for learning and helping and coming together.

    • @Thuntroz98
      @Thuntroz98 7 років тому

      You sir, are a legend.

  • @ngabngab4891
    @ngabngab4891 7 років тому

    great explanation dude.. Thumbs up!

  • @megamanrulz14
    @megamanrulz14 8 років тому

    what a theta?

    • @quitsdrop6995
      @quitsdrop6995 7 років тому

      Jean-Luc Belanger ikr xD

    • @metanumia
      @metanumia 6 років тому

      Theta is a Greek symbol used as a variable in mathematics and in this physics calculation Theta represents the angle of launch of the projectile, relative to the horizontal axis (X-axis). The angle is in units of degrees (0-360 degrees) and can be converted to radians.

    • @randyr.ottele8553
      @randyr.ottele8553 6 років тому

      the launch angle of the projectile .

  • @camelcase9225
    @camelcase9225 8 років тому

    Wow. Never really thought of how equations were formed until you walked through this. Looking at it makes sense but yeah, I don't think I'd be able to come up with that myself lol. Anyway, great vid; it was educational and well done.

  • @gomes8335
    @gomes8335 8 років тому

    how to deal with questions where one part of the figure lies below the X- axis ?

  • @bhanuprakashtimmidi5836
    @bhanuprakashtimmidi5836 8 років тому

    erripuku la cheppavu. nice broo

  • @bhanuprakashtimmidi5836
    @bhanuprakashtimmidi5836 8 років тому

    erripuku la cheppavu. nice broo

  • @zainhaider8989
    @zainhaider8989 8 років тому

    gr8 explanation man !

  • @ndlovukazim318
    @ndlovukazim318 8 років тому

    great explanation. is there one for centroid of volumes?

  • @abdullahtariq3897
    @abdullahtariq3897 8 років тому

    very helpful tutorial.

  • @walbani
    @walbani 8 років тому

    The tutor is very very WRONG . . .Why ? The Xs are not the same thing that the Ys. Teaching mixing them is a very huge mistake. . . . Everybody knows it. We aren't GENIOUS.

  • @mrrashedali
    @mrrashedali 8 років тому

    is this video for university level

  • @bmckayw
    @bmckayw 8 років тому

    This is really cool! I've been trying to find something this detailed for a long time now.

  • @nebaraskakhodyer5012
    @nebaraskakhodyer5012 8 років тому

    Really good video. Thanks. I like the use of different colours, as it makes it easy go see what you are doing.

  • @jordanclarke7028
    @jordanclarke7028 8 років тому

    thank god umi looked for thus then trajectory from flash was everywhere

  • @hasansukkar2149
    @hasansukkar2149 8 років тому

    Thanks mate. Helpful stuff