'Angular velocity vector' diaporamas de présentation

MM203 Mechanics of Machines: Part 2

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Angular Momentum; General Rotation

Angular Momentum; General Rotation. Chapter 11. Chapter 1: Angular Momentum. L for Objects Rotating About a Fixed Axis Vector Cross Product; Torque as a Vector L of a Particle L & t for a System of Particles; General Motion L & t for a Rigid Object. Units of Chapter 11.

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Animation CS 551 / 651

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Energy

Energy. Energy- The property of an object that allows it to produce change in the environment or itself. Types of energy Thermal Chemical Solar Nuclear Geothermal Hydroelectric Wind. Energy. Kinetic Energy- The energy of an object resulting from motion. K = 1/2 mv 2

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Outline:

Outline:. 5.1 INTRODUCTION 5.2 NOTATION FOR TIME-VARYING POSITION AND ORIENTATION 5.3 LINEAR AND ROTATIONAL VELOCITY OF RIGID BODIES 5.4 MOTION OF THE LINKS OF A ROBOT 5 . 5 VELOCITY "PROPAGATION" FROM LINK TO LINK 5.6 JACOBIANS 5.7 SINGULARITIES

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Chapter 4: Fluid Kinematics

PTT 204/3 APPLIED FLUID MECHANICS SEM 2 (2012/2013). Chapter 4: Fluid Kinematics. Objectives. Understand the role of the material derivative in transforming between Lagrangian and Eulerian descriptions

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Chapter 7: Rigid Body Dynamics

Chapter 7: Rigid Body Dynamics. Chapter 7 Goals:. To define the rigid body as a system of point masses Through use of forces and force moments, to introduce the physics of static equilibrium To distinguish the force moment from the special case of the torque

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Rotary Motion

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When we take derivatives to obtain

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Differential Kinematics and Statics Ref: ????????????????????? 2001

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When we take derivatives to obtain

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Static equilibrium : the two conditions for a body in static equilibrium are:

Rotational Mechanics and Relativity --- Summary sheet 1. Centre of Mass. For discrete masses:. For continuous bodies:. Static equilibrium : the two conditions for a body in static equilibrium are: The vector sum of all the external forces acting on the body is zero.

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By: Hiep and Long

By: Hiep and Long. * Newton's Laws of Motion *Center of Gravity *Projectile Motion. *Friction *Aerodynamics *Momentum. Table of Content. * When a soccer ball is in motion, it will stay in motion When a soccer is at rest, it will stay at rest

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Rotational Dynamics Continued

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Physics 430: Lecture 20 Non-Inertial Frames

Physics 430: Lecture 20 Non-Inertial Frames. Dale E. Gary NJIT Physics Department. 9.1 Acceleration without Rotation. It is sometimes useful to work in non-inertial frames, but in order to do that we have to make some changes to the equations we developed for inertial frames up to now.

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Angular Motion

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Rotations

Rotations. Space coordinates are an inertial system. Fixed in space. Body coordinates are a non-inertial system. Move with rigid body. Space and Body. x 3. x 3. x 2. x 2. x 1. x 1. A linear transformation connects the two coordinate systems. The rotation can be expressed as a matrix.

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Physics 321

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Euler Angles

Euler Angles. A rotation matrix can be described with three free parameters. Select three separate rotations about body axes Rotation of f about e 3 axis. Rotation of q about e 1 axis. Rotation of y about e 3 axis. These are the Euler angles. Three Angles. e 3. q. e 2. e 1.

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Euler Angles

Euler Angles. A rotation matrix can be described with three free parameters. Select three separate rotations about body axes Rotation of f about e 3 axis. Rotation of q about e 1 axis. Rotation of y about e 3 axis. These are the Euler angles. Three Angles. e 3. q. e 2. e 1.

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