Euclidean geometry | Orientation (geometry) | Rotation

Rotation

Rotation, or spin, is the circular movement of an object around a central axis. A two-dimensional rotating object has only one possible central axis and can rotate in either a clockwise or counterclockwise direction. A three-dimensional object has an infinite number of possible central axes and rotational directions. If the rotation axis passes internally through the body's own center of mass, then the body is said to be autorotating or spinning, and the surface intersection of the axis can be called a pole. A rotation around a completely external axis, e.g. the planet Earth around the Sun, is called revolving or orbiting, typically when it is produced by gravity, and the ends of the rotation axis can be called the orbital poles. (Wikipedia).

Rotation
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What is the difference between rotating clockwise and counter clockwise

πŸ‘‰ Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will

From playlist Transformations

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Determining clockwise vs counter clockwise rotations

πŸ‘‰ Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will

From playlist Transformations

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Rotations in degrees for counter and clockwise directions

πŸ‘‰ Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will

From playlist Transformations

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How does the fixed point affect our rotation

πŸ‘‰ Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will

From playlist Transformations

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How to determine the rotation of a heart

πŸ‘‰ Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will

From playlist Transformations

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How do the rotations of counter clockwise and clockwise similar

πŸ‘‰ Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will

From playlist Transformations

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7 Rotation of reference frames

Ever wondered how to derive the rotation matrix for rotating reference frames? In this lecture I show you how to calculate new vector coordinates when rotating a reference frame (Cartesian coordinate system). In addition I look at how easy it is to do using the IPython notebook and SymPy

From playlist Life Science Math: Vectors

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Physics 11.1 Rigid Body Rotation (1 of 10) Basics

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the translational, rotational, and combined motion of rigid body rotation.

From playlist PHYSICS 11 ROTATIONAL MOTION

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Κ•β€’α΄₯β€’Κ” Simple Example of Geometry Transformations Rotations

Quickly master rotation symmetry and transformation. Watch more lessons like this and try our practice at https://www.studypug.com/geometry/transformations/rotational-symmetry-and-transformations When an object is turned around its center of rotation to certain degrees and the object loo

From playlist Grade 9 Math (Canada)

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Intuitive Explanation for Intermediate Axis Theorem

Also known as the Dzhanibekov Effect or Tennis Racket Theorem. My Patreon page is at https://www.patreon.com/EugeneK

From playlist Physics

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Rigid Body Kinematics

MIT RES.TLL-004 Concept Vignettes View the complete course: http://ocw.mit.edu/RES-TLL-004F13 Instructor: Dan Frey This video leads students through describing the motion of all points on a wobbly disk as a function of time. Properties of time independent rotation matrices are explored.

From playlist MIT STEM Concept Videos

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Euler Angles and the Euler Rotation Sequence

In this video we discuss how Euler angles are used to define the relative orientation of one coordinate frame to another. Topics and Timestamps: 0:00 – Introduction and example 2:34 – The Euler Rotation Sequence 16:10 – Matlab animation showing rotation sequence 21:03 – The direction cos

From playlist Flight Mechanics

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Lecture 06: 3D Rotations and Complex Representations (CMU 15-462/662)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/

From playlist Computer Graphics (CMU 15-462/662)

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Dirac's Belt Trick: Why a 2Ο€ rotation twists space but a 4Ο€ rotation fixes it

Visit β–Ί https://brilliant.org/TreforBazett/ to help you learn STEM topics for free, and the first 200 people will get 20% off an annual premium subscription. Check out my MATH MERCH line in collaboration with Beautiful Equations β–Ίhttps://www.beautifulequation.com/pages/trefor When you t

From playlist Cool Math Series

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Lecture 18: Rotation and How to Represent It, Unit Quaternions, the Space of Rotations

MIT 6.801 Machine Vision, Fall 2020 Instructor: Berthold Horn View the complete course: https://ocw.mit.edu/6-801F20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63pfpS1gV5P9tDxxL_e4W8O In this lecture, Prof. Horn focuses on rotations, including its properties, repre

From playlist MIT 6.801 Machine Vision, Fall 2020

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Reflectional Symmetry and Rotational Symmetry | Don't Memorise

We do have an idea about what symmetry is! But what's rotational symmetry? Is it easy to find the order of rotational symmetry? Watch this video to know more :) To learn more about Symmetry, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medi

From playlist Middle School Geometry(Part 1)

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How to rotate a figure about different fixed points

πŸ‘‰ Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will

From playlist Transformations

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AP Physics 1 review of Torque and Angular momentum | Physics | Khan Academy

In this video, David quickly explains each torque and angular concept and does a sample question for each one. Created by David SantoPietro. Watch the next lesson: https://www.khanacademy.org/science/physics/review-for-ap-physics-1-exam/ap-physics-1-concept-review/v/ap-physics-1-review-of

From playlist Review for AP Physics 1 exam | AP Physics 1 | Khan Academy

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Euler angles | Gyroscope | Translation (geometry) | Angular frequency | Rotation around a fixed axis | Characteristic polynomial | Gimbal | Centripetal force | Action (physics) | Noether's theorem | Precession | Angular velocity | Nutation | Group (mathematics) | Angular momentum | Frequency | Rigid body | Mathematics | Rotational invariance | Axis–angle representation | Stellar rotation | Lagrangian mechanics | Eigenvalues and eigenvectors | Equator | Center of mass | Torque | Gimbal lock | Inverse element | Moment of inertia | Right-hand rule