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Modern Robotics, Chapter 12.2.4: Duality of Force and Motion Freedoms
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Classroom Contents
Modern Robotics
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- 1 Modern Robotics: Introduction to the Lightboard
- 2 Modern Robotics Videos Acknowledgments (Kevin Lynch)
- 3 Modern Robotics, Chapters 2 and 3: Foundations of Robot Motion
- 4 Modern Robotics, Chapter 2.1: Degrees of Freedom of a Rigid Body
- 5 Modern Robotics, Chapter 2.2: Degrees of Freedom of a Robot
- 6 Modern Robotics, Chapter 2.3.1: Configuration Space Topology
- 7 Modern Robotics, Chapter 2.3.2: Configuration Space Representation
- 8 Modern Robotics, Chapter 2.4: Configuration and Velocity Constraints
- 9 Modern Robotics, Chapter 2.5: Task Space and Workspace
- 10 Modern Robotics, Chapter 3: Introduction to Rigid-Body Motions
- 11 Modern Robotics, Chapter 3.2.1: Rotation Matrices (Part 1 of 2)
- 12 Modern Robotics, Chapter 3.2.1: Rotation Matrices (Part 2 of 2)
- 13 Modern Robotics, Chapter 3.2.2: Angular Velocities
- 14 Modern Robotics, Chapter 3.2.3: Exponential Coordinates of Rotation (Part 1 of 2)
- 15 Modern Robotics, Chapter 3.2.3: Exponential Coordinates of Rotation (Part 2 of 2)
- 16 Modern Robotics, Chapter 3.3.1: Homogeneous Transformation Matrices
- 17 Modern Robotics, Chapter 3.3.2: Twists (Part 1 of 2)
- 18 Modern Robotics, Chapter 3.3.2: Twists (Part 2 of 2)
- 19 Modern Robotics, Chapter 3.3.3: Exponential Coordinates of Rigid-Body Motion
- 20 Modern Robotics, Chapter 3.4: Wrenches
- 21 Modern Robotics, Chapter 4.1.1: Product of Exponentials Formula in the Space Frame
- 22 Modern Robotics, Chapter 4.1.2: Product of Exponentials Formula in the End-Effector Frame
- 23 Modern Robotics, Chapter 4: Forward Kinematics Example
- 24 Modern Robotics, Chapter 5: Velocity Kinematics and Statics
- 25 Modern Robotics, Chapter 5.1.1: Space Jacobian
- 26 Modern Robotics, Chapter 5.1.2: Body Jacobian
- 27 Modern Robotics, Chapter 5.2: Statics of Open Chains
- 28 Modern Robotics, Chapter 5.3: Singularities
- 29 Modern Robotics, Chapter 5.4: Manipulability
- 30 Modern Robotics, Chapter 6: Inverse Kinematics of Open Chains
- 31 Modern Robotics, Chapter 6.2: Numerical Inverse Kinematics (Part 1 of 2)
- 32 Modern Robotics, Chapter 6.2: Numerical Inverse Kinematics (Part 2 of 2)
- 33 Modern Robotics, Chapter 7: Kinematics of Closed Chains
- 34 Modern Robotics, Chapter 8.1: Lagrangian Formulation of Dynamics (Part 1 of 2)
- 35 Modern Robotics, Chapter 8.1: Lagrangian Formulation of Dynamics (Part 2 of 2)
- 36 Modern Robotics, Chapter 8.1.3: Understanding the Mass Matrix
- 37 Modern Robotics, Chapter 8.2: Dynamics of a Single Rigid Body (Part 1 of 2)
- 38 Modern Robotics, Chapter 8.2: Dynamics of a Single Rigid Body (Part 2 of 2)
- 39 Modern Robotics, Chapter 8.3: Newton-Euler Inverse Dynamics
- 40 Modern Robotics, Chapter 8.5: Forward Dynamics of Open Chains
- 41 Modern Robotics, Chapter 8.6: Dynamics in the Task Space
- 42 Modern Robotics, Chapter 8.7: Constrained Dynamics
- 43 Modern Robotics, Chapter 8.9: Actuation, Gearing, and Friction
- 44 Modern Robotics, Chapters 9.1 and 9.2: Point-to-Point Trajectories (Part 1 of 2)
- 45 Modern Robotics, Chapters 9.1 and 9.2: Point-to-Point Trajectories (Part 2 of 2)
- 46 Modern Robotics, Chapter 9.3: Polynomial Via Point Trajectories
- 47 Modern Robotics, Chapter 9.4: Time-Optimal Time Scaling (Part 1 of 3)
- 48 Modern Robotics, Chapter 9.4: Time-Optimal Time Scaling (Part 2 of 3)
- 49 Modern Robotics, Chapter 9.4: Time-Optimal Time Scaling (Part 3 of 3)
- 50 Modern Robotics, Chapter 10.1: Overview of Motion Planning
- 51 Modern Robotics, Chapter 10.2: C-Space Obstacles
- 52 Modern Robotics, Chapter 10.2.3: Graphs and Trees
- 53 Modern Robotics, Chapter 10.2.4: Graph Search
- 54 Modern Robotics, Chapter 10.3: Complete Path Planners
- 55 Modern Robotics, Chapter 10.4: Grid Methods for Motion Planning
- 56 Modern Robotics, Chapter 10.5: Sampling Methods for Motion Planning (Part 1 of 2)
- 57 Modern Robotics, Chapter 10.5: Sampling Methods for Motion Planning (Part 2 of 2)
- 58 Modern Robotics, Chapter 10.6: Virtual Potential Fields
- 59 Modern Robotics, Chapter 10.7: Nonlinear Optimization
- 60 Modern Robotics, Chapter 11.1: Control System Overview
- 61 Modern Robotics, Chapter 11.2.1: Error Response
- 62 Modern Robotics, Chapter 11.2.2: Linear Error Dynamics
- 63 Modern Robotics, Chapter 11.2.2.1: First-Order Error Dynamics
- 64 Modern Robotics, Chapter 11.2.2.2: Second-Order Error Dynamics
- 65 Modern Robotics, Chapter 11.3: Motion Control with Velocity Inputs (Part 1 of 3)
- 66 Modern Robotics, Chapter 11.3: Motion Control with Velocity Inputs (Part 2 of 3)
- 67 Modern Robotics, Chapter 11.3: Motion Control with Velocity Inputs (Part 3 of 3)
- 68 Modern Robotics, Chapter 11.4: Motion Control with Torque or Force Inputs (Part 1 of 3)
- 69 Modern Robotics, Chapter 11.4: Motion Control with Torque or Force Inputs (Part 2 of 3)
- 70 Modern Robotics, Chapter 11.4: Motion Control with Torque or Force Inputs (Part 3 of 3)
- 71 Modern Robotics, Chapter 11.5: Force Control
- 72 Modern Robotics, Chapter 11.6: Hybrid Motion-Force Control
- 73 Modern Robotics, Chapter 12: Grasping and Manipulation
- 74 Modern Robotics, Chapter 12.1.1: First-Order Analysis of a Single Contact
- 75 Modern Robotics, Chapter 12.1.2: Contact Types: Rolling, Sliding, and Breaking
- 76 Modern Robotics, Chapter 12.1.3: Multiple Contacts
- 77 Modern Robotics, Chapter 12.1.6: Planar Graphical Methods (Part 1 of 2)
- 78 Modern Robotics, Chapter 12.1.6: Planar Graphical Methods (Part 2 of 2)
- 79 Modern Robotics, Chapter 12.1.7: Form Closure
- 80 Modern Robotics, Chapter 12.2.1: Friction
- 81 Modern Robotics, Chapter 12.2.2: Planar Graphical Methods
- 82 Modern Robotics, Chapter 12.2.3: Force Closure
- 83 Modern Robotics, Chapter 12.2.4: Duality of Force and Motion Freedoms
- 84 Modern Robotics, Chapter 12.3: Manipulation and the Meter-Stick Trick
- 85 Modern Robotics, Chapter 12.3: Transport of an Assembly
- 86 Modern Robotics, Chapter 13.1: Wheeled Mobile Robots
- 87 Modern Robotics, Chapter 13.2: Omnidirectional Wheeled Mobile Robots (Part 1 of 2)
- 88 Modern Robotics, Chapter 13.2: Omnidirectional Wheeled Mobile Robots (Part 2 of 2)
- 89 Modern Robotics, Chapter 13.3.1: Modeling of Nonholonomic Wheeled Mobile Robots
- 90 Modern Robotics, Chapter 13.3.2: Controllability of Wheeled Mobile Robots (Part 1 of 4)
- 91 Modern Robotics, Chapter 13.3.2: Controllability of Wheeled Mobile Robots (Part 2 of 4)
- 92 Modern Robotics, Chapter 13.3.2: Controllability of Wheeled Mobile Robots (Part 3 of 4)
- 93 Modern Robotics, Chapter 13.3.2: Controllability of Wheeled Mobile Robots (Part 4 of 4)
- 94 Modern Robotics, Chapter 13.3.3: Motion Planning for Nonholonomic Mobile Robots
- 95 Modern Robotics, Chapter 13.3.4: Feedback Control for Nonholonomic Mobile Robots
- 96 Modern Robotics, Chapter 13.4: Odometry
- 97 Modern Robotics, Chapter 13.5: Mobile Manipulation