Curated Video
Where is the Centre of a Triangle?
The answer is not as straight-forward as it might seem, because all triangles have more than one centre! How many centres does a triangle have, and how do you find them? Maths - Shape A Twig Math Film. Reinforce and extend the learning...
Zach Star
No you guys, most shapes do not have a center of mass with this property (but some do)
No you guys, most shapes do not have a center of mass with this property (but some do)
Virtually Passed
Statics Formula Sheet
Static Equilibrium: F = ma = 0 (for static objects that aren't accelerating M = I_G alpha = 0 (for static objects that don't have an angular acceleration). Notice that moments can also be written as a vector using M = r x F. Note that...
Virtually Passed
Second Moment of Area Example 1
To find the second moment of area about the x axis use Ix = /int y^2 dA To find the second moment of area about the y axis use Iy = /int x^2 dA In this video I solve this problem using the double integral method (which is more robust)....
Virtually Passed
Second Moment of Area Example 2
In this video I use the double integral to solve for the moment of inertia of area of a triangle about a vertex Ix = /int y^2 dA This can also be done without using double integrals if we choose a 'larger' value of dA which is a...
Virtually Passed
Second Moment of Area Example 4 (I beam)
Here I calculate the second moment of area (moment of inertia) for an I beam. The easiest way to do this is to find the moment of inertia of each of the rectangles about the I beams centroid (note you'll have to use the parallel axis...
Fun Robotics
Working Principle of KMeans Clustering
Describes the working principle of a Kmeans algorithm.
ATHS Engineering
One-Eared Cat: A Centroid Sample Problem
This video is a tutorial on how to calculate the centroid of a complex shape, using a square and a triangle as an example. The teacher walks through the steps of identifying the shapes, calculating their areas and center of mass,...
ATHS Engineering
Centroid Example Problem Using the Subtractive Method
This video is a tutorial for solving a centroid problem using the subtractive method. The teacher explains the steps for calculating the areas and centroids of shapes, and demonstrates how to use the subtractive method to solve a...
ATHS Engineering
Centroid Calculation Example Problem: Additive Method
In this video, a teacher walks through an example problem of calculating the centroid of a Tetris block using the additive method. They explain the steps of choosing shapes, calculating areas, finding centroids, and using tables to...
Virtually Passed
Second Moment of Area Example 3
Ix is the second moment of area about the x axis. Choosing the value of dA is the important part for this problem. In this example where we're dealing with a section of a circle, it's easier to use cylindrical coordinates dA = r dr...
ATHS Engineering
Centroid Example Problem: Upside Down T-Shaped Object
The video explains the five steps to solve a centroid problem and demonstrates how to apply them to a specific example of an upside-down T-shaped object. It covers breaking up the shape into smaller groups, calculating their areas and...
Curated Video
Finding the Centroid of a Triangle Using Vector Geometry and Coordinate Points
The video is a lecture presentation on vector geometry and the ratio theorem, with a focus on the centroid of a triangle. The presenter explains the concept of a centroid, which is the point of concurrency of a triangle formed by the...
Virtually Passed
Centroid of area
The Centroid of an area is the same as the center of mass for objects which have constant thickness and constant density. A general approach to solving centroid problems is to: 1) define an axis 2) Find equations of geometry 3) Choose an...
Curated Video
Python for Machine Learning - The Complete Beginners Course - Elbow Method
In this video, we will cover the elbow method. This clip is from the chapter "Clustering" of the series "Python for Machine Learning - The Complete Beginner's Course".In this section, you will learn about clustering.
Curated Video
Finding the Centroid of a Triangle Using Vector Geometry and Coordinate Points
The video is a lecture presentation on vector geometry and the ratio theorem, with a focus on finding the centroid of a triangle. The presenter explains the concept of the centroid as the point of concurrency of a triangle and uses...
Flipping Physics
Calculating the Center of Mass of a System of Particles
Three point objects are located at various locations on a Cartesian coordinate system. Mass 1, with a mass of 1.1 kg, is located at (1.0,1.5) m. Mass 2, with a mass of 3.4 kg, is located at (3.0,1.0) m. Mass 3, with a mass of 1.3 kg, is...
CK-12 Foundation
Medians: Examples
Balance the knowledge of intersecting medians. Using examples, the portion of a geometry playlist introduces the centroid. A video describes the property of the location of the triangle medians' point of concurrency.
Khan Academy
Khan Academy: Proving That the Centroid Is 2 3rds Along the Median
This video tutorial [6:56] shows a proof that the centroid is located two-thrids of the way along each median. Proof is done algebraically.
Khan Academy
Khan Academy: Geometry: Common Orthocenter and Centroid
Proves that if the orthocenter and centroid are the same point in a triangle then the triangle is a right triangle. [6:25]
Khan Academy
Khan Academy: Geometry: Euler Line
Demonstrates that the circumcenter, orthocenter, and centroid of a triangle all lie on a line called an Euler line. [6:12]
Khan Academy
Khan Academy: Geometry: Triangle Medians and Centroids (2 D Proof)
This video tutorial [15:15] provides a two-dimensional proof that the centroid is located two-thirds the way along every median of a triangle. This is a follow up to the proof in three-dimensions provided in the video, "Triangle Median...