Канал: Manoj Srinivasan

Lecture 12, Feb 8: Coulomb Friction: will it slip?

Lecture 12, Feb 8: Coulomb Friction: will it slip?

Lecture 18, Feb 26: Angular momentum and its conservation. Angular Impulse-Momentum Relation.

Lecture 18, Feb 26: Angular momentum and its conservation. Angular Impulse-Momentum Relation.

Lecture 16, Feb 19: Linear momentum, Impulse, Impulse-Momentum relation

Lecture 16, Feb 19: Linear momentum, Impulse, Impulse-Momentum relation

Lecture 20, March 3: MATLAB and Euler's method for solving ODE. Mass-spring system

Lecture 20, March 3: MATLAB and Euler's method for solving ODE. Mass-spring system

Lecture 17, Feb 22: Collisions. Impulse-Momentum. (First 5 min/mouse movements not recorded!)

Lecture 17, Feb 22: Collisions. Impulse-Momentum. (First 5 min/mouse movements not recorded!)

Lecture 15, Feb 15: More work-energy examples [no mouse movements recorded]

Lecture 15, Feb 15: More work-energy examples [no mouse movements recorded]

Lecture 25, March 17: Part 1: Four-bar linkage (HW7, Q7),

Lecture 25, March 17: Part 1: Four-bar linkage (HW7, Q7),

Lecture 24, March 15: Rolling without slip continued.

Lecture 24, March 15: Rolling without slip continued.

Lecture 19, Mar 1: MATLAB, plotting and basic animation, projectile motion

Lecture 19, Mar 1: MATLAB, plotting and basic animation, projectile motion

Lecture 22, March 10: Rigid kinematics. 2 pts on rigid body, Inst center of rotation, slider-crank.

Lecture 22, March 10: Rigid kinematics. 2 pts on rigid body, Inst center of rotation, slider-crank.

Lecture 23, March 12: Rigid body kinematics: Slider-crank and Rolling without slip.

Lecture 23, March 12: Rigid body kinematics: Slider-crank and Rolling without slip.

Lecture 21, March 8: Rigid body kinematics. Velocity and acceleration formulas.

Lecture 21, March 8: Rigid body kinematics. Velocity and acceleration formulas.

Lecture 35, April 17. Vertical oscillations. Equilibrium position and oscillations about it.

Lecture 35, April 17. Vertical oscillations. Equilibrium position and oscillations about it.

April 8. Part 3. Dynamics of a single rigid body. Euler’s equations.

April 8. Part 3. Dynamics of a single rigid body. Euler’s equations.

April 15. 3D double pendulum with ball and socket joints. Part 2.

April 15. 3D double pendulum with ball and socket joints. Part 2.

April 15. 3D double pendulum with ball and socket joints. Part 1.

April 15. 3D double pendulum with ball and socket joints. Part 1.

Jay Ingram: Walking vs Running video.

Jay Ingram: Walking vs Running video.

April 22: Simscape Multibody, Part 3: Double pendulum, triple pendulum, etc.

April 22: Simscape Multibody, Part 3: Double pendulum, triple pendulum, etc.

April 22: Simscape Multibody, Part 2: torques, sensors, plots, forward vs inverse dynamics

April 22: Simscape Multibody, Part 2: torques, sensors, plots, forward vs inverse dynamics

April 22: Simscape Multibody, Part 1: Introduction and single pendulum simulation

April 22: Simscape Multibody, Part 1: Introduction and single pendulum simulation

April 20. MATLAB video demo: Springy 3D Rigid Body Pendulum

April 20. MATLAB video demo: Springy 3D Rigid Body Pendulum

April 13. Some 3D single and double pendulums

April 13. Some 3D single and double pendulums

April 13. MATLAB. Free Spinning Rigid Body

April 13. MATLAB. Free Spinning Rigid Body

April 13. Part 1. Dynamics of a single rigid body. Part 2.

April 13. Part 1. Dynamics of a single rigid body. Part 2.

April 15. Springy 3d rigid body pendulum. Set-up and equations of motion.

April 15. Springy 3d rigid body pendulum. Set-up and equations of motion.

April 8. Part 2. Moment of inertia in 3d. Diagonalization, principal axes, and principal inertias.

April 8. Part 2. Moment of inertia in 3d. Diagonalization, principal axes, and principal inertias.

April 8. Part 1. Moment of inertia in 3d is a tensor or a matrix.

April 8. Part 1. Moment of inertia in 3d is a tensor or a matrix.

April 6. Part 6. Rate of change of a rotation matrix.

April 6. Part 6. Rate of change of a rotation matrix.

April 6. Part 5. Equivalence between a cross product and a skew symmetric matrix or tensor.

April 6. Part 5. Equivalence between a cross product and a skew symmetric matrix or tensor.

April 6. Part 4. Relative velocity of two points on a rigid body with some angular velocity.

April 6. Part 4. Relative velocity of two points on a rigid body with some angular velocity.

April 6. Part 3. Rate of change of a vector G that is constant in a body fixed frame. (New)

April 6. Part 3. Rate of change of a vector G that is constant in a body fixed frame. (New)

April 6. Part 2. Angular velocity from Euler angle rates.

April 6. Part 2. Angular velocity from Euler angle rates.

April 6. Part 1. Angular velocity definition. 3d.

April 6. Part 1. Angular velocity definition. 3d.

April 1. Part 3. Order 2 tensors, Dyads, 3x3 matrices: part 2.

April 1. Part 3. Order 2 tensors, Dyads, 3x3 matrices: part 2.

April 1. Part 2. Order 2 tensors, Dyads, 3x3 matrices: part 1.

April 1. Part 2. Order 2 tensors, Dyads, 3x3 matrices: part 1.

April 1. Part 1. Tensors: Linear functions of vectors. Order 1 tensors.

April 1. Part 1. Tensors: Linear functions of vectors. Order 1 tensors.

March 30. Part 4. Euler angles. Part 2.

March 30. Part 4. Euler angles. Part 2.

March 30. Part 3. Euler angles. Part 1.

March 30. Part 3. Euler angles. Part 1.

March 30. Part 2. Eulers and Chasles theorem Representing rotations Axis angle, quaternions, etc.

March 30. Part 2. Eulers and Chasles theorem Representing rotations Axis angle, quaternions, etc.

March 30. Part 1. Two uses of rotation matrices. Full.

March 30. Part 1. Two uses of rotation matrices. Full.

March 25. Part 5. Converting representation of a vector from one coordinate frame to another.

March 25. Part 5. Converting representation of a vector from one coordinate frame to another.

March 25. Part 4. How to think about vectors in 3d. A vector versus its representation.

March 25. Part 4. How to think about vectors in 3d. A vector versus its representation.

March 25. Part 3. MATLAB animation demo of rotation matrices transforming unit vectors.

March 25. Part 3. MATLAB animation demo of rotation matrices transforming unit vectors.

ME7230. March 25. Part 2. 3D rotation matrices. Basic properties.

ME7230. March 25. Part 2. 3D rotation matrices. Basic properties.

ME7230. March 25. Part 1. 3D rotation matrices. Basic properties.

ME7230. March 25. Part 1. 3D rotation matrices. Basic properties.

ME7230. March 23. 3D rotations. General 3D rotation matrices.

ME7230. March 23. 3D rotations. General 3D rotation matrices.

ME7230. March 23. 3D rotations. Simple rotations.

ME7230. March 23. 3D rotations. Simple rotations.

ME7230. March 23. 3D dynamics: basic Newton-Euler equations

ME7230. March 23. 3D dynamics: basic Newton-Euler equations

Example. Simple pendulum, part 2.

Example. Simple pendulum, part 2.

Example. Simple pendulum, part 1.

Example. Simple pendulum, part 1.

Lecture 14, Feb 12: Work-energy principles: two pulleys (HW5 concepts)

Lecture 14, Feb 12: Work-energy principles: two pulleys (HW5 concepts)

Lecture 35, April 17. Example. Mass spring with no damping, with numbers.

Lecture 35, April 17. Example. Mass spring with no damping, with numbers.

Lecture 36, April 20. Free vibrations with damping. Pt 2. Over- or under-damped / critically damped.

Lecture 36, April 20. Free vibrations with damping. Pt 2. Over- or under-damped / critically damped.

Lecture 36, April 20. Free vibration with damping. Part 1.

Lecture 36, April 20. Free vibration with damping. Part 1.

Lecture 37, April 22. Example. Forced vibration and resonance.

Lecture 37, April 22. Example. Forced vibration and resonance.

Lecture 37, April 22. Forced vibration. What is resonance?

Lecture 37, April 22. Forced vibration. What is resonance?

Lecture 37, April 22. Forced vibrations. Undamped response. Part 1.

Lecture 37, April 22. Forced vibrations. Undamped response. Part 1.

Lecture 36, April 20. Ex: Simple pendulum. Linearization and analogy with mass spring oscillator.

Lecture 36, April 20. Ex: Simple pendulum. Linearization and analogy with mass spring oscillator.

Lecture 35, April 17. Free vibrations, no damping. Pt 2. What does Acos(wt)+Bsin(wt) look like.

Lecture 35, April 17. Free vibrations, no damping. Pt 2. What does Acos(wt)+Bsin(wt) look like.

Lecture 35, April 17. Free vibration with no damping. Part 1. Analytical solution.

Lecture 35, April 17. Free vibration with no damping. Part 1. Analytical solution.

Lecture 34, April 15. Spring mass damper. Equations of motion. And what is a damper.

Lecture 34, April 15. Spring mass damper. Equations of motion. And what is a damper.

Lecture 34, April 15. Vibration. General motivation and context

Lecture 34, April 15. Vibration. General motivation and context

Lecture 33, April 13. Example 2. Rigid body collision and momentum conservation.

Lecture 33, April 13. Example 2. Rigid body collision and momentum conservation.

Lecture 33, April 13. Example. Collision with angular momentum conservation.

Lecture 33, April 13. Example. Collision with angular momentum conservation.

Lecture 32, April 6. Theory: impulse, linear momentum, and angular momentum.

Lecture 32, April 6. Theory: impulse, linear momentum, and angular momentum.

Lecture 32, April 6. Example. Rolling down a slope. Work-energy methods.

Lecture 32, April 6. Example. Rolling down a slope. Work-energy methods.

Lecture 31, April 3. Example. Pulley problem with rigid bodies and energy methods.

Lecture 31, April 3. Example. Pulley problem with rigid bodies and energy methods.

Lecture 31, April 3. Work-energy methods, now for systems with rigid bodies.

Lecture 31, April 3. Work-energy methods, now for systems with rigid bodies.

Lecture 30, April 1. Example. Belt or chain drive.

Lecture 30, April 1. Example. Belt or chain drive.

Lecture 30, April 1. Gears. Part 2. Kinetics

Lecture 30, April 1. Gears. Part 2. Kinetics

Lecture 30, April 1. Example. Gears. Part 1. Rigid body kinematics.

Lecture 30, April 1. Example. Gears. Part 1. Rigid body kinematics.

Lecture 28, March 27-April 1. Example (part 2 of 2). Accelerating block.

Lecture 28, March 27-April 1. Example (part 2 of 2). Accelerating block.

Lecture 28, March 27. Example. More complex pulley problem.

Lecture 28, March 27. Example. More complex pulley problem.

Lecture 28, March 27-April 1. Example (part 1 of 2). Accelerating block.

Lecture 28, March 27-April 1. Example (part 1 of 2). Accelerating block.

Lecture 27: March 25. Example. Uniform disk rolling without slip. Being pulled by two forces.

Lecture 27: March 25. Example. Uniform disk rolling without slip. Being pulled by two forces.

Lecture 27: March 25. Example. Rigid body pendulum.

Lecture 27: March 25. Example. Rigid body pendulum.

Lecture 26: Rigid body kinetics: Pulley problem 2, example 2

Lecture 26: Rigid body kinetics: Pulley problem 2, example 2

Lecture 26: Rigid body kinetics: Example 1: pulley problem 1

Lecture 26: Rigid body kinetics: Example 1: pulley problem 1

Lecture 21: Rigid body kinematics, part 1 (alternate version)

Lecture 21: Rigid body kinematics, part 1 (alternate version)

Lecture 26: Planar rigid body kinetics: Newton’s and Euler’s equation + mass moment of inertia

Lecture 26: Planar rigid body kinetics: Newton’s and Euler’s equation + mass moment of inertia

Lecture 25, Rigid body kinematics: composite pulley being pulled by two ropes

Lecture 25, Rigid body kinematics: composite pulley being pulled by two ropes

Lecture 22: Problem: slider crank (alternate version)

Lecture 22: Problem: slider crank (alternate version)

Lecture 14, Springy pulley problem: Work Energy Principles

Lecture 14, Springy pulley problem: Work Energy Principles

Lecture 4, Jan 20: Motion in a circle: Polar coordinates, special case

Lecture 4, Jan 20: Motion in a circle: Polar coordinates, special case

Lecture 3, Jan 15: Motion in 2D and 3D. Cartesian coordinates. Theory. Component video.

Lecture 3, Jan 15: Motion in 2D and 3D. Cartesian coordinates. Theory. Component video.

Lecture 2, Jan 13: Motion in a straight line: Differentiation and Integration [re-make]

Lecture 2, Jan 13: Motion in a straight line: Differentiation and Integration [re-make]

Lecture 13, Feb 10: work energy part 2, work of gravity

Lecture 13, Feb 10: work energy part 2, work of gravity

Lecture 13, Feb 10: Work energy, part 1

Lecture 13, Feb 10: Work energy, part 1

Lecture 11, Feb 5: Car going in a circle

Lecture 11, Feb 5: Car going in a circle

Lecture 10, Feb 3: pulley tension assumptions and a one pulley problem

Lecture 10, Feb 3: pulley tension assumptions and a one pulley problem

Lecture 10, Feb 3: two pulley problem, complex

Lecture 10, Feb 3: two pulley problem, complex

Lecture 9, Feb 1: Example, pulley problem

Lecture 9, Feb 1: Example, pulley problem

Lecture 9, Feb 1: Newton's laws, introduction

Lecture 9, Feb 1: Newton's laws, introduction

Lecture 9, Feb 1: Assumptions for Newton's laws

Lecture 9, Feb 1: Assumptions for Newton's laws

Lecture 8, Jan 29: Example: Constrained motion in a circle

Lecture 8, Jan 29: Example: Constrained motion in a circle

Lecture 8, Jan 29: Example (re-make): Three pulley kinematics

Lecture 8, Jan 29: Example (re-make): Three pulley kinematics

Lecture 7, Jan 27, part 3: Constrained motion, pulleys.

Lecture 7, Jan 27, part 3: Constrained motion, pulleys.

Lecture 7, Jan 27, part 2: relative motion example

Lecture 7, Jan 27, part 2: relative motion example

Lecture 7, Jan 27, part 1. Relative motion, theory and examples

Lecture 7, Jan 27, part 1. Relative motion, theory and examples

Lecture 6, Jan 25: Component video: Example 1, tangential-normal

Lecture 6, Jan 25: Component video: Example 1, tangential-normal

Lecture 6, Jan 25: Example 2, Tangential-Normal Coordinates

Lecture 6, Jan 25: Example 2, Tangential-Normal Coordinates

Lecture 5, Jan 22: Tangential-normal coordinates.

Lecture 5, Jan 22: Tangential-normal coordinates.

Lecture 5. Jan 22: Polar coordinates

Lecture 5. Jan 22: Polar coordinates

Lecture 3, Jan 15: Projectile with linear drag. Part 1. Component video.

Lecture 3, Jan 15: Projectile with linear drag. Part 1. Component video.

Energetics, stability in legged locomotion / Tutorial on trajectory optimization (2010, 2014)

Energetics, stability in legged locomotion / Tutorial on trajectory optimization (2010, 2014)

People walking on a shaky bridge

People walking on a shaky bridge

Energy-optimal human walking with feedback-controlled robotic prostheses: a computational study

Energy-optimal human walking with feedback-controlled robotic prostheses: a computational study

Ton Van Den Bogert Tutorial

Ton Van Den Bogert Tutorial

Rocking cylinders roll

Rocking cylinders roll

Optimal human walking with an optimal robotic foot

Optimal human walking with an optimal robotic foot

Walking with changing speeds

Walking with changing speeds

A critique of Induced Acceleration Analysis

A critique of Induced Acceleration Analysis

Mechanics and energetics of sideways walking

Mechanics and energetics of sideways walking

Walking on a Shaky Bridge (the London Millennium Bridge)

Walking on a Shaky Bridge (the London Millennium Bridge)

Walking on a shaking treadmill.

Walking on a shaking treadmill.

Many balls bouncing on a trampoline. MATLAB simulation and animation.

Many balls bouncing on a trampoline. MATLAB simulation and animation.

Two balls dropped onto a trampoline. Energy transfer through trampoline.

Two balls dropped onto a trampoline. Energy transfer through trampoline.

Two balls bouncing on a trampoline. MATLAB simulation & animation.

Two balls bouncing on a trampoline. MATLAB simulation & animation.