Moment, Center of Mass, and Centroid - Calculus Problems

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  • čas přidán 13. 09. 2024
  • This calculus video tutorial explains how to find the x and y coordinates of the centroid or the center of mass of the region bounded by one or two equations. This video also explains how to find the moment about the x-axis and the moment about the y-axis using simple formulas. You need to find the area under the curve of the shaded region by evaluating the definite integral from a to b of [f(x)-g(x)]dx before you can find the location of the centroid. This video contains 2 example problems.
    Improper Integrals:
    • Improper Integrals - C...
    Integration Into Inverse Trig:
    • Integration into Inver...
    Integration of Rational Functions:
    • Integration of Rationa...
    Integral of Logarithmic Functions:
    • Integral of Logarithmi...
    Integrating Exponential Functions:
    • Integrating Exponentia...
    Integration Formulas:
    • Integration Formulas F...
    ________________________________
    Integration By Tables:
    • Integration By Tables
    Reduction Formulas - Integration:
    • Reduction Formulas For...
    Center of Mass & Moments:
    • Moment, Center of Mass...
    Center of Mass & Centroid Problems:
    • Center of Mass & Centr...
    Hydrostatic Force Problems:
    • Hydrostatic Force Prob...
    Probability Density Functions:
    • Probability Density Fu...
    _________________________________
    Normal Distributions - Calculus:
    • Normal Distribution & ...
    Homogeneous Differential Equations:
    • Homogeneous Differenti...
    1st Order Linear Differential Equations:
    • First Order Linear Dif...
    Bernoulli's Equation for Differential Equations:
    • Bernoulli's Equation F...
    Slope Fields:
    • Slope Fields | Calculus
    ___________________________________
    Converging & Diverging Sequences:
    • Converging and Divergi...
    Monotonic & Bounded Sequences:
    • Monotonic Sequences an...
    Calculus Final Exam and Video Playlists:
    www.video-tuto...
    Full-Length Videos and Worksheets:
    / collections

Komentáře • 21

  • @TheOrganicChemistryTutor

    Next Video: czcams.com/video/SWu_i-19Rn0/video.html
    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Math & Science Videos: www.patreon.com/mathsciencetutor/collections

  • @joelvinsant1189
    @joelvinsant1189 Před 6 lety +22

    you're the best calc tutor on youtube hands down m8 thank you so much

  • @leilanasimi5622
    @leilanasimi5622 Před 4 lety +10

    You are the best of best. I have passed a lot of math classes with A+ by watching your videos. Thank you :)

  • @Meta-Drew
    @Meta-Drew Před 4 lety +30

    (My / A) = x(bar)
    (Mx/ A) = y(bar)
    After finding My, Mx, and A all you need to do is algebra to find the centroid - you were basically solving Mx and My twice

    • @LA-cm9uo
      @LA-cm9uo Před 2 lety

      what is (bar)?

    • @Meta-Drew
      @Meta-Drew Před 2 lety

      @@LA-cm9uo It just means x (or y)with a line over it, I just didn't know how to type that symbol, in this case it is the x and y coordinate you are solving for, but you label them 'x bar' and 'y bar' so you don't confuse them with the other Xs and Ys of the equations

  • @nayna8036
    @nayna8036 Před rokem +1

    Thank you so much! My calc professor gave one video on hydrostatic force and expected us to do moment, center of mass, and centroid problems!

  • @MikeTheGreatCC12
    @MikeTheGreatCC12 Před 4 lety +5

    Thanks so much! Your videos are extremely helpful. I don't know how well I would be doing in math if it wasn't for your videos.

  • @georgesadler7830
    @georgesadler7830 Před 11 měsíci +1

    Professor Organic Chemistry Tutor, thank you for a fantastic video/lecture on Moments, Center of Mass and Centroids in Calculus Two. I also encountered this material in Engineering Physics One, Statics and Dynamics. This material is fairly simple to follow and understand from start to finish. This is an error free video/lecture on CZcams TV with the Organic Chemistry Tutor.

  • @baffoursamuel9648
    @baffoursamuel9648 Před 5 lety +13

    we need engineering mechanics videos

  • @herishbadal3719
    @herishbadal3719 Před 6 lety +1

    You are the best . Good for you

  • @azireteraly2405
    @azireteraly2405 Před 4 lety +1

    please, could you talk more about moment of inertia by integration?!

  • @rustyt.pasawa2948
    @rustyt.pasawa2948 Před 5 lety +3

    Make videos abou mechanics plsss

  • @aryamanvala9269
    @aryamanvala9269 Před rokem

    Thank you!!!!!

  • @BNDreams
    @BNDreams Před měsícem

    What calculator is he using, and what is he typing to get the answes ?

  • @clot4764
    @clot4764 Před 4 lety

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  • @fookiebear1
    @fookiebear1 Před 6 lety +3

    I love you

  • @whoisnotimportant
    @whoisnotimportant Před 2 lety +1

    4M Congrats

  • @numba2dad
    @numba2dad Před 5 lety +2

    hero

  • @Pdq-_-
    @Pdq-_- Před 3 měsíci

    sir i will fail but still thank you ;(

  • @alptunga
    @alptunga Před rokem

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