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PowerPoint Presentation Rigid body rotation Physics 7C lecture 13 Tuesday November 12, 8:00 AM – 9:20 AM Engineering Hall 1200 Copyright © 2012 Pearson Education Inc.…
Rigid Body Dynamics (I) COMP259 March 28, 2006 Nico Galoppo von Borries COMP259- M.Lin From Particles to Rigid Bodies Particles No rotations Linear velocity v only Rigid…
Chapter II II-2 Chapter II: Planar Rigid Body Kinematics Homework Chapter II: Planar Rigid Body Kinematics Homework II-3 Homework 2.A Given: Point A of plate ABCD moves to
Dynamics of rigid body motionDynamics of rigid body motion Sourendu Gupta Sourendu Gupta Classical Mechanics 2012: Lecture 13 The Lagrangian formulation Free rotations Simple
rigid-body-dynamics-09Rolling Cylinder Lz = L cos = Precessing cylinder Lz = I3 cos Gyroscope dL dt 2I1 sin 2 2I3 t = a=½; b=1/cos(π/6) a=2;
Rotation of a Rigid BodyRotation of a Rigid Body Readings: Chapter 13 1 Readings: Chapter 13 How can we characterize the acceleration during rotation? t l ti l l ti dF Newton’s…
J. Peraire, S. Widnall 16.07 Dynamics Fall 2009 Version 2.0 Lecture L29 - 3D Rigid Body Dynamics 3D Rigid Body Dynamics: Euler Angles The difficulty of describing the positions…
Rigid Body Dynamics (I)• Particles – No rotations – Linear velocity v only – 3N DoFs • Rigid bodies – 6 DoFs (translation + rotation) –
COMP768- M.Lin Rigid Body Dynamics (I) COMP768: October 4, 2007 Nico Galoppo COMP768- M.Lin From Particles to Rigid Bodies • Particles – No rotations – Linear velocity…
DYNAMICS OF RIGID BODIES Measuring angles in radian Define the value of an angle 𝜃 in radian as 𝜃 = 𝑠 𝑟 or arc length 𝑠 = 𝑟𝜃 a pure number without dimension…
Rigid Body Dynamics - Simulation and Modeling (CSCI 3010U)Faisal Qureshi http://vclab.science.uoit.ca 2 / 34 Rigid Bodies Particle vs. Rigid Body Dynamics I State of a particle
Rigid Body Dynamics From Particles to Rigid Bodies • Particles – No rotations – Linear velocity v only • Rigid bodies – Body rotations – Linear velocity v –…
Rigid Body Dynamics (I)• Particles – No rotations – Linear velocity v only – 3N DoFs • Rigid bodies – 6 DoFs (translation + rotation) –
Rigid Body Dynamics (II)• Resting contact – -ε < vrel < ε – Gradual contact forces avoid interpenetration – All resting contact
Ch08.1.2Chap 6 Inverse Kinematics 8.1 Lagrangian Formulation Modern Robotics, Lynch and Park, Cambridge University Press 1 Important concepts, symbols, and equations •
Mechanics Physics 151 Lecture 10 Rigid Body Motion (Chapter 5) What We Did Last Time ! Found the velocity due to rotation ! Used it to find Coriolis effect ! Connected ω…
Lecture 2: examples of rigid body kinematics • forward kinematics problem • head impact demo • rolling disk • intro to project #3 Tuesday April 9 13 robotic arm •…
COMP768- M.Lin Rigid Body Dynamics (II) COMP768: October 11, 2007 Nico Galoppo COMP768- M.Lin Bodies intersect → classify contacts • Bodies separating – vrel > ε…
Chapter 2: Planar Rigid Body Kinematics Homework Chapter 2 Planar Rigid Body Kinematics Homework Freeform c©2018 2-1 Chapter 2: Planar Rigid Body Kinematics Homework 2-2…
Slide 1 Rigid Body Dynamics (I) COMP259 March 28, 2006 Nico Galoppo von Borries Slide 2 From Particles to Rigid Bodies Particles –No rotations –Linear velocity v only…