Rotation of a Rigid Body Topics: Rotational Motion Rotation About - PowerPoint PPT Presentation

Nov 24, 2023 •111 likes •160 views

Rotation of a Rigid Body Topics: Rotational Motion Rotation About the Center of Mass Rotational Energy Calculating Moment of Inertia Torque Rotational Dynamics Rotation About a Fixed Axis Static Equilibrium

Rotation of a Rigid Body Topics: • Rotational Motion • Rotation About the Center of Mass • Rotational Energy • Calculating Moment of Inertia • Torque • Rotational Dynamics • Rotation About a Fixed Axis • Static Equilibrium • Rolling Motion • Angular Momentum
Rotational Motion The figure shows a wheel rotating on an axle. Its angular velocity is The units of ω are rad/s. If the wheel is speeding up or slowing down, its angular acceleration is The units of α are rad/s 2 .
Rotational Motion

Download Presentation

Download Policy: The content available on the website is offered to you 'AS IS' for your personal information and use only. It cannot be commercialized, licensed, or distributed on other websites without prior consent from the author. To download a presentation, simply click this link. If you encounter any difficulties during the download process, it's possible that the publisher has removed the file from their server.

Recommend

Recap: rigid motions Rigid motion is a combination of rotation and translation Defined

Forward and Inverse Kinematics Chapter 3 Hadi Moradi ( original slides by Steve from Harvard ) Recap: rigid motions Rigid motion is a combination of rotation and translation Defined by a rotation matrix ( R ) and a displacement vector

632 views • 14 slides

Rigid Body Velocity Cedric Fischer and Michael Mattmann Institute of Robotics and Intelligent

Rigid Body Velocity Cedric Fischer and Michael Mattmann Institute of Robotics and Intelligent Systems Department of Mechanical and Process Engineering (DMAVT) ETH Zurich Angular velocity Rotation only Rotation matrix has special properties!

429 views • 8 slides

R F 0 y y rigid body M 0 M equilibrium Rigid Body Equilibrium 1

A RCHITECTURAL S TRUCTURES : Equilibrium F ORM, B EHAVIOR, AND D ESIGN ARCH 331 rigid body D R. A NNE N ICHOLS doesnt deform F ALL 2018 C B coplanar force systems A lecture five static: 0 R F x x

217 views • 7 slides

Hybrid rigid body modelling Al Kikhney EMBL Hamburg Hybrid rigid body modelling in ATSAS 3.0

Solution Scattering from Biological Macromolecules Hybrid rigid body modelling Al Kikhney EMBL Hamburg Hybrid rigid body modelling in ATSAS 3.0 CRYSOL computing SAXS from a model SASREF rigid body modelling BUNCH adding

747 views • 57 slides

Lecture IV: Collisions The Story so Far Rigid bodies moving in space as forces are applied

Lecture IV: Collisions The Story so Far Rigid bodies moving in space as forces are applied to them. Gravity, drag, rotation, etc. Reaction forces occur when a rigid body comes in contact with another body. Handling the event

894 views • 46 slides

Rigid Body Dynamics (I) COMP768: October 4, 2007 Nico Galoppo <nico@cs> COMP768- M.Lin

Rigid Body Dynamics (I) COMP768: October 4, 2007 Nico Galoppo <nico@cs> COMP768- M.Lin From Particles to Rigid Bodies Particles Rigid bodies 6 DoFs (translation + rotation) No rotations Linear velocity v

615 views • 50 slides

Rigid body dynamics Rigid body simulation Once we consider an object with spatial extent,

Rigid body dynamics Rigid body simulation Once we consider an object with spatial extent, particle system simulation is no longer sufficient Rigid body simulation Unconstrained system no contact Constrained system collision

788 views • 57 slides

Rigid body dynamics Rigid body simulation Once we consider an object with spatial extent,

874 views • 63 slides

Rigid body dynamics Rigid body simulation Once we consider an object with spatial extent,

890 views • 73 slides

Quaternions John C. Hart CS 318 Interactive Computer Graphics Rigid Body Dynamics Rigid

Quaternions John C. Hart CS 318 Interactive Computer Graphics Rigid Body Dynamics Rigid bodies Inflexible Center of gravity Location in space Orientation in space Rigid body dynamics Force applied to object

283 views • 16 slides

Rigid Body Refinement: Applica4ons to Proteins Dr. Kate Brown

Rigid Body Refinement: Applica4ons to Proteins Dr. Kate Brown Imperial College London, UK The University of Texas at Aus4n, US Rigid Body Modeling

469 views • 33 slides

Rigid Body Dynamics If the aim of kinematics is to describe the body motion, the aim of

Rigid Body Dynamics If the aim of kinematics is to describe the body motion, the aim of dynamics is to explain it; the history of mechanics shows that the passage from description to explanation requires the introduction of a new

688 views • 55 slides

Week 5 -Wednesday What did we talk about last time? Transforms Translation Rotation

Week 5 -Wednesday What did we talk about last time? Transforms Translation Rotation Scaling Shearing Rigid-body transforms and their inverses Normal transforms For normals and other things, we need to be able to

678 views • 21 slides

lines produces a rotation about the point of intersection through twice the angle between the

D AY 49 S ERIES OF REFLECTIONS I NTRODUCTION At times, a single object may undergo more than one rigid motion. That is, we may have a reflection and a rotation, a reflection and a translation and so on. When all these motions are subjected

208 views • 17 slides

Rigid body simulation Once we consider an object with spacial extent, particle system simulation

Rigid body simulation Rigid body simulation Once we consider an object with spacial extent, particle system simulation is no longer sufficient Problems Problems Unconstrained system rotational motion torques and angular momentum

421 views • 11 slides

PHYSICS SIMULATION Rigid body simulator introduction Continuum simulation The Documents

() PHYSICS SIMULATION Rigid body simulator introduction Continuum simulation The Documents http://haselab.net/class/vr userbasic passwdprog asela aselab Introduction for Multi-rigid body physics simulator

599 views • 33 slides

Quasi-Static Hydrodynamic Limits and their Large Deviations Stefano Olla CEREMADE, Universit

Quasi-Static Hydrodynamic Limits and their Large Deviations Stefano Olla CEREMADE, Universit e Paris-Dauphine - PSL Supported by ANR LSD INPAM Bedlewo, April 14, 2018 The problem with thermodynamics Every mathematician knows that it is

823 views • 44 slides

ROBOTICS ROBOTICS 01PEEQW 01PEEQW 01PEEQW 01PEEQW Basilio Bona Basilio Bona DAUIN DAUIN

ROBOTICS ROBOTICS 01PEEQW 01PEEQW 01PEEQW 01PEEQW Basilio Bona Basilio Bona DAUIN DAUIN Politecnico di Torino Politecnico di Torino Statics Statics Statics 1 We call GENERALIZED FORCES GENERALIZED FORCES the whole set

186 views • 18 slides

Statics Statics Basilio Bona 1 ROBOTICA 03CFIOR Statics 1 Statics studies the

Statics Statics Basilio Bona 1 ROBOTICA 03CFIOR Statics 1 Statics studies the relations between the task space forces/torques and the joint forces/torques in static equilibrium conditions The former derive from possible

582 views • 12 slides

! Static Equilibrium ! Static Equilibrium modulus spherical modulus spherical particles on

ME 437/537 G. Ahmadi ME 437/537 G. Ahmadi Polystyrene on Polyurethane High elastic High elastic ! Static Equilibrium ! Static Equilibrium modulus spherical modulus spherical particles on particles on ! ! Hydrodynamic Hydrodynamic

198 views • 6 slides

Driven Holographic CFTs Moshe Rozali University of British Columbia Numerical Holography

Driven Holographic CFTs Moshe Rozali University of British Columbia Numerical Holography Institute, December 2014 Based on: M.R., Mukund Rangamani, Anson Wong, to appear shortly. M.R., Mukund Rangamani, Mark van Raamsdonk, in progress. Moshe

434 views • 24 slides

2/26/2012 NASA/JPLs LEMUR Robot Multi-Limb Robots on Irregular Terrain g Only friction and

2/26/2012 NASA/JPLs LEMUR Robot Multi-Limb Robots on Irregular Terrain g Only friction and internal degrees of Other Climbing Robots freedom are used to achieve equilibrium F r e e C l Cutkosky, Stanford, 2004 i NINJA II m

247 views • 6 slides

Wardrop s equilibrium and adjustment of OD matrices Farhad Hatami Universitat Autnoma de

Wardrop s equilibrium and adjustment of OD matrices Farhad Hatami Universitat Autnoma de Barcelona hatami@mat.uab.cat December, 2015 Wardrop s equilibrium and adjustment of OD matrices 1 / 15 Farhad Hatami Principles of traffic

402 views • 15 slides

Stars + Galaxies: Back of the Envelope Properties David Spergel Free-fall time r = GM (1)

Stars + Galaxies: Back of the Envelope Properties David Spergel Free-fall time r = GM (1) r 2 t 2 = GM r (2) r 2 r 3 1 (3) t free fall G GM Free-fall time for neutron star is milliseconds (char- acteristic

807 views • 42 slides

Rotation of a Rigid Body Topics: Rotational Motion Rotation About - PowerPoint PPT Presentation

Rotation of a Rigid Body Topics: Rotational Motion Rotation About the Center of Mass Rotational Energy Calculating Moment of Inertia Torque Rotational Dynamics Rotation About a Fixed Axis Static Equilibrium

Recap: rigid motions Rigid motion is a combination of rotation and translation Defined

Rigid Body Velocity Cedric Fischer and Michael Mattmann Institute of Robotics and Intelligent

R F 0 y y rigid body M 0 M equilibrium Rigid Body Equilibrium 1

Hybrid rigid body modelling Al Kikhney EMBL Hamburg Hybrid rigid body modelling in ATSAS 3.0

Lecture IV: Collisions The Story so Far Rigid bodies moving in space as forces are applied

Rigid Body Dynamics (I) COMP768: October 4, 2007 Nico Galoppo &lt;nico@cs&gt; COMP768- M.Lin

Rigid body dynamics Rigid body simulation Once we consider an object with spatial extent,

Rigid body dynamics Rigid body simulation Once we consider an object with spatial extent,

Rigid body dynamics Rigid body simulation Once we consider an object with spatial extent,

Quaternions John C. Hart CS 318 Interactive Computer Graphics Rigid Body Dynamics Rigid

Rigid Body Refinement: Applica4ons to Proteins Dr. Kate Brown

Rigid Body Dynamics If the aim of kinematics is to describe the body motion, the aim of

Week 5 -Wednesday What did we talk about last time? Transforms Translation Rotation

lines produces a rotation about the point of intersection through twice the angle between the

Rigid body simulation Once we consider an object with spacial extent, particle system simulation

PHYSICS SIMULATION Rigid body simulator introduction Continuum simulation The Documents

Quasi-Static Hydrodynamic Limits and their Large Deviations Stefano Olla CEREMADE, Universit

ROBOTICS ROBOTICS 01PEEQW 01PEEQW 01PEEQW 01PEEQW Basilio Bona Basilio Bona DAUIN DAUIN

Statics Statics Basilio Bona 1 ROBOTICA 03CFIOR Statics 1 Statics studies the

! Static Equilibrium ! Static Equilibrium modulus spherical modulus spherical particles on

Driven Holographic CFTs Moshe Rozali University of British Columbia Numerical Holography

2/26/2012 NASA/JPLs LEMUR Robot Multi-Limb Robots on Irregular Terrain g Only friction and

Wardrop s equilibrium and adjustment of OD matrices Farhad Hatami Universitat Autnoma de

Stars + Galaxies: Back of the Envelope Properties David Spergel Free-fall time r = GM (1)

Rigid Body Dynamics (I) COMP768: October 4, 2007 Nico Galoppo <nico@cs> COMP768- M.Lin