The perpendicular axis theorem (or plane figure theorem) states that the moment of inertia of a planar lamina (i.e. 2-D body) about an axis perpendicular to the plane of the lamina is equal to the sum of the moments of inertia of the lamina about the two axes at right angles to each other, in its own plane intersecting each other at the point where the perpendicular axis passes through it. Define perpendicular axes , , and (which meet at origin ) so that the body lies in the plane, and the axis is perpendicular to the plane of the body. Let Ix, Iy and Iz be moments of inertia about axis x, y, z respectively. Then the perpendicular axis theorem states that This rule can be applied with the parallel axis theorem and the stretch rule to find polar moments of inertia for a variety of shapes. If a planar object has rotational symmetry such that and are equal,then the perpendicular axes theorem provides the useful relationship: (Wikipedia).
Parallel and Perpendicular Lines - Part 2
This video defines parallel and perpendicular lines. It also shows how to determine the equation of lines parallel and perpendicular based upon given information. The answers are verified on the graphing calculator. http://mathispower4u.yolasite.com/
From playlist Determining Linear Equations of Parallel and Perpendicular Lines
Proof: If Two Lines Form Congruent Adjacent Angles, Then The Lines Are Perpendicular
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From playlist Properties of Perpendicular Lines
Proof: Adjacent Angles Formed by Perpendicular Lines are Congruent
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From playlist Properties of Perpendicular Lines
Perpendicular Transversals of Parallel Lines
This video proves two theorem involving perpendicular transversals of parallel lines. http://mathispower4u.wordpress.com/
From playlist Properties of Perpendicular Lines
Consecutive Angles Theorem with Parallel Lines
👉 Learn about parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated in both lines
From playlist Parallel Lines and a Transversal Theorems
What is the Consecutive Interior Angle Converse Theorem
👉 Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
Geometry - What are the Angle Theorems for Parallel Lines and a Transversal
👉 Learn about parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated in both lines
From playlist Parallel Lines and a Transversal Theorems
8.01x - Module 20.10 - General analysis of moment of inertia.
General analysis of moment of inertia
From playlist 8.01x - MIT Help Sessions
8.01x - Module 20.01 - Moments of Inertia of thin rotating disc on and off axis
Moments of Inertia of thin rotating disc on and off axis
From playlist 8.01x - MIT Help Sessions
Using Corresponding Angles to Solve for X
👉 Learn how to solve for an unknown variable using parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or tw
From playlist Parallel Lines cut by a Transversal Solve for x
الميكانيك التقليدي (إم آي تي) 19: دوران الأجسام الصلبة، القصور الذاتي الزاوي، النجوم النيوترونية
MIT المحاضرة التاسعة عشرة من مساق "الميكانيك التقليدي" من جامعة "إم آي تي" للبروفيسور والتر لوين وهي عن: دوران الأجسام الصلبة، القصور الذاتي الزاوي، نظرية المحاور المتوازية والمتعامدة، الطاقة الحركية الدورانية، الحذافات، النجوم النيوترونية، النجوم النابضة بالإضافة للفيديو هناك ملفات مرفقة
From playlist 8.01 Arabic Subtitles
MIT 3.60 | Lec 11a: Symmetry, Structure, Tensor Properties of Materials
Part 1: Point Groups View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material
Examples 1: Perpendicular Transversals
this video provides examples of determining the measure of angles based upon properties of transversals and perpendicular transversals. http://mathispower4u.wordpress.com/
From playlist Properties of Perpendicular Lines
Compasses are overrated #some2
This video is about the Poncelet-Steiner Theorem
From playlist Summer of Math Exposition 2 videos
Math 060 Fall 2017 103017C Orthogonal Complements
Orthogonal subspaces; examples; nonexample. Orthogonal complements. Trivial observations about orthogonal subspaces and orthogonal complements. Fundamental Subspaces Theorem. More facts about orthogonal complements: the dimension of an orthogonal complement is complementary to the dime
From playlist Course 4: Linear Algebra (Fall 2017)
Parallel Axis Theorem Derivation
Deriving the Parallel Axis Theorem for moment of inertia or rotational inertia. Want Lecture Notes? hhttps://www.flippingphysics.com/parallel-axis-theorem.html This is an AP Physics C: Mechanics topic. Next Video: Parallel Axis Theorem Example https://www.flippingphysics.com/parallel-axis
From playlist Rotational Dynamics - AP Physics C: Mechanics
Lec 19: Rotating Rigid Bodies, Inertia, and Axis Theorems | 8.01 Classical Mechanics (Walter Lewin)
Rotating Rigid Bodies, Moments of Inertia, Parallel Axis and Perpendicular Axis Theorem. The moment of inertia for a rigid body around an axis of rotation is introduced, and related to its rotational kinetic energy. Flywheels can be used to store energy. Planets and stars have spin rotatio
From playlist 8.01 Physics I: Classical Mechanics, Fall 1999 (Complete Lectures by Walter Lewin)
This video focuses on the relationship between the slopes of perpendicular lines. In particular, I show how to find the slope of a line perpendicular to given line with a known slope. To find the slope of the perpendicular line, one needs to find the negative reciprocal of the original l
From playlist Geometry
8.01x - Lect 19 - Rotating Objects, Moment of Inertia, Rotational KE, Neutron Stars
Rotating Rigid Bodies - Moment of Inertia - Parallel Axis and Perpendicular Axis Theorem - Rotational Kinetic Energy - Fly Wheels - Neutron Stars - Pulsars Lecture Notes, Flywheel Technology: http://freepdfhosting.com/5e0ffb03a1.pdf Assignments Lecture 19 and 20: http://freepdfhosting.com/
From playlist 8.01x - MIT Physics I: Classical Mechanics