ECE 105

UWaterloo

Course Overview

Lessons & Practice

I. Welcome

1. Units and Measurement

55min

1.1.2. Example: Converting between units4 min

1.1.3. Practice: Volume Conversion

1.2.1. Unit Conversion5 min

1.2.2. Example: Unit Conversion4 min

1.2.3. Example: Unit Conversion Practice 2 min

1.2.4. Practice: Counting heartbeats2 min

1.3.1. Dimensional Analysis3 min

1.3.2. Example: Dimensional Analysis7 min

1.3.3. Practice: Dimensional Analysis2 min

1.4.1. Significant Figures5 min

1.4.2. Significant Figures in Calculations7 min

1.4.3. Example: Significant Figures4 min

1.4.4. Practice: Significant Figures

1.4.5. Practice: Significant Figures

1.5.1. Percent Error2 min

1.5.2. Example: Percent Error2 min

1.5.3. Practice: Percent Error

1.6.1. Orders of Magnitude4 min

1.7.1. Scientific Notation

1.7.2. Example: Scientific Notation

1.7.3. Practice: Scientific Notation

2. Motion Along a Straight Line

4hr

2.I. Chapter Intro3 min

2.1.1. Distance and Displacement ..8 min

2.1.2. Distance and displacement - quick example2 min

2.2.1. Speed and Velocity8 min

2.2.2. Practice10 min

2.2.3. Practice: Rocket man4 min

2.3.1. Acceleration6 min

2.3.2. Example4 min

2.4.1. One-Dimensional Kinematics 8 min

2.4.2. Example: Deceleration8 min

2.4.3. Practice: Acceleration and Constant Velocity (Copy catches Car)12 min

2.5.1. Motion Diagrams11 min

2.5.2. Example9 min

2.5.3. Practice: Position vs. Time Graphs4 min

2.6.1. Free Fall1 min

2.6.2. Example: Free Fall7 min

2.6.3. Practice: Free Fall 5 min

2.6.4. Practice: Falling object3 min

2.7.1. Kinematic Graphs9 min

2.7.2. Motion Diagrams11 min

2.7.3. Example3 min

2.7.4. Example9 min

2.7.5. Acceleration Concept Clarifiers34 min

2.7.6. Practice9 min

2.7.7. Practice (Tricky!)27 min

2.7.8. Practice: Position vs. Time Graphs4 min

3. Vectors

7hr

3.1.1. Trigonometry Review10 min

3.1.2. Example: Trigonometry4 min

3.1.3. Example: Trigonometry6 min

3.1.4. Practice: Level 11 min

3.1.5. Practice: Level 22 min

3.1.6. Example: Trigonometry Review

3.1.7. Practice: Trigonometry Review

3.2.1. Scalars & Vectors - Definitions & Examples3 min

3.2.2. Vectors (2D)12 min

3.2.3. Vectors (3D)6 min

3.2.4. Examples: Scalars and Vectors (Sine and Cosine Laws)13 min

3.2.5. Practice: Scalars and Vectors (Sine and Cosine Laws)10 min

3.2.6. Practice: Scalars and Vectors (Catesian Format, Sine Law)16 min

3.2.7. Example: Scalars and Vectors (Rectangular Components)13 min

3.2.8. Practice: Scalars and Vectors (Rectangular Components) 11 min

3.3.1. Vector Operations6 min

3.3.2. Example: Vector Operations10 min

3.3.3. practice quiz: Vector Operations3 Qns

3.3.4. Example: Vector Operations (2D)

3.4.1. Forces in Cartesian Vector Form4 min

3.4.2. Example: Cartesian Vectors, Resultant Magnitude and Direction (2D)

3.4.3. Practice: Vector Components1 min

3.4.4. Practice: Cartesian Vectors, Resultant Magnitude and Direction (2D)

3.5.1. Forces 2D Cartesian Vector Form6 min

3.5.2. Example: Forces Cartesian Vector Form10 min

3.5.3. Practice: Forces Cartesian Vector Form (IMPORTANT!)9 min

3.5.4. Practice: Cartesian force vector11 min

3.6.1. Forces 3D Cartesian Form (IMPORTANT!)11 min

3.6.2. Example 1 - Part 1: 3D Force Vectors 11 min

3.6.3. Example 1 - Part 2: 3D Force Vectors 7 min

3.6.4. Example 2: 3D Force Vectors13 min

3.6.5. Practice 1: 3D Force Vectors10 min

3.6.6. Practice: 3D Vector Practice Questions Part 15 min

3.6.7. Practice: 3D Vector Practice Questions Part 26 min

3.6.8. Example: Forces in Cartesian Vector Form16 min

3.7.1. Vectors and Their Components (2D)5 min

3.7.2. Vector's Magnitude (2D & 3D)2 min

3.7.3. Components of a Vector Using the Angle It Makes Respect to x or y Axis8 min

3.7.4. Example: Vector Between Two Points7 min

3.7.5. Practice: Projectile Motion3 min

3.8.1. Pythagorean Triangles6 min

3.8.2. Example: Pythagorean Triple (Small Triangle)

3.8.3. Practice: Pythagorean Triple (Small Triangle)

3.9.1. Planar (Shaded) Angles9 min

3.9.2. Example: Vectors into Cartesian Vector Form (3D)

3.9.3. Practice: Vectors into Cartesian Vector From (3D)

3.10.1. Vector Addition and Subtraction: Algebraic Method 54 sec

3.10.2. Vector Addition and Subtraction: Graphic Methods9 min

3.10.3. Example: Vector Addition6 min

3.10.4. Practice: Algebraic Addition4 min

3.10.5. Practice: Resultant of 2 Vectors1 min

3.10.6. Practice: Vector Addition and Subtraction

3.11.1. Addition of 2D Forces (Components / SOH.CAH.TOA.)7 min

3.11.2. Example: Vectors and Rectangular Components

3.11.3. Practice: Walking to the store2 min

3.11.4. Practice: Vectors and Rectangular Components

3.12.1. Vector Addition of 2D Forces (Force Triangle)5 min

3.12.2. Example: Components along non x-y axes (u-v)

3.12.3. Practice: Using Law of Sine and Cosines / Force Triangle

3.13.1. Cartesian Vectors / Working in 3D5 min

3.13.2. Example: Two Points and Distance Between / Magnitude of Vector

3.13.3. Practice: Magnitude of a 3D Vector5 min

3.13.4. Practice: Cartesian Vectors (3D) - distance between 2 points

3.14.1. Unit Vector (u)7 min

3.14.2. Example: Unit Vector

3.14.3. Practice: Unit Vector1 min

3.14.4. Practice: Unit Vector3 min

3.14.5. Practice: Unit Vector

3.15.1. Position Vectors (r)11 min

3.15.2. Example: Unit and Position Vectors

3.15.3. Practice: 3D Position Vectors

3.15.4. Practice

3.15.5. Practice: Unit and Position Vectors (3D)

3.16.1. Force Directed Along a Line6 min

3.16.2. Example Problem #1: Vector into Cartesian Vector Format (3D)

3.16.3. Practice: Resultant of Two Vectors (3D)

3.17.1. Theory2 min

3.17.2. Dot Product or Scalar Product4 min

3.17.3. Example: Dot Product2 min

3.17.4. Practice - flagpole - angle between cables

3.18.1. Direction Cosine Angles (alpha, beta, gamma)6 min

3.18.2. Example Problem: Direction Cosines

3.18.3. practice: Direction Cosines (3D)11 min

3.18.4. Practice: Direction Cosines and 3D Vector

3.19.1. Cross Product10 min

3.19.2. Right Hand Rule5 min

3.19.3. Example: Cross Product4 min

3.19.4. Practice: Cross Product2 min

3.19.5. Practice: Cross Product

3.20.1. Theory - REVIEW14 min

4. Motion in Two and Three Dimensions

3hr

4.1.1. Two- and Three-Dimensional Kinematics : Part 19 min

4.1.2. Two- and Three-Dimensional Kinematics: Part 27 min

4.1.3. Example: Particle Motion in 3D8 min

4.1.4. Practice: Projectile motion

4.2.1. Position Vector11 min

4.2.2. Two- and Three-Dimensional Kinematics : Part 19 min

4.2.3. Practice Question 5: Position Vectors2 min

4.2.4. Practice: Velocity and Acceleration

4.2.5. Example: Velocity and Acceleration8 min

4.2.6. Example: Position from Velocity2 min

4.3.1. Two- and Three-Dimensional Kinematics : Part 19 min

4.3.2. Two- and Three-Dimensional Kinematics: Part 27 min

4.3.3. Example: Particle Motion in 3D8 min

4.3.4. Practice: Projectile motion

4.4.1. Projectile Motion9 min

4.4.2. Example: Projectile Motion4 min

4.4.3. Practice: Projectile Motion10 min

4.5.1. Uniform Circular Motion6 min

4.5.2. Period and Frequency 7 min

4.5.3. Example: Uniform circular motion6 min

4.5.4. Practice : Circular Motion - Ball on a String

4.5.5. Practice: Circular Motion - Car Rounding a Curve5 min

4.6.1. Centripetal force12 min

4.6.2. Example: Circular Motion with Changing Radii3 min

4.6.3. Practice: Circular Motion - Vertical Circle8 min

4.6.4. Practice: Marble Sliding on a Rotating Hoop (Tricky!)14 min

4.7.1. Relative Velocity11 min

4.7.2. Example: 9 min

4.7.3. Practice: Relative Velocity11 min

5. Force and Motion - I

3hr

5.1.1. Free Body Diagrams7 min

5.1.2. Example: Free Body Diagrams 8 min

5.1.3. Practice: Free Body Diagram I

5.1.4. Practice: Free Body Diagram II

5.2.1. Newton's Laws of Motion7 min

5.2.2. Example: Newton's

5.2.3. Practice: Interacting Blocks11 min

5.2.4. Practice: Three books on a table8 min

5.2.5. Practice: Tension

5.3.1. Static Equilibrium3 min

5.3.2. Example: Static Equilibrium of a Ladder15 min

5.3.3. Practice: Static Equilibrium - Man on a Beam13 min

5.3.4. Particle Equilibrium - 2D 6 min

5.3.5. Practice: Particle Equilibrium 2D problems - Part 16 min

5.4.1. Normal Force 6 min

5.4.2. Example: Weightlessness6 min

5.4.3. Practice: Man in an elevator

5.5.1. Normal Force 3 min

5.5.3. Example: Different Type of Forces9 min

5.5.4. Static and Kinetic Friction11 min

5.5.5. Example: Friction 8 min

5.5.6. Practice: Friction5 min

5.5.7. Newton's Law of Universal Gravitation6 min

5.5.8. Example: Newton’s Law of Universal Gravitation4 min

5.6.1. Tension4 min

5.6.2. Example: Force and Newton’s Laws of Motion7 min

5.6.3. Practice: Box Hanging from To Wires8 min

5.7.1. Gravitational Force7 min

5.7.2. The Special Case of Earth 4 min

5.7.3. Example: Weight at Higher Elevations6 min

5.7.4. Practice: Gravitational Forces8 min

5.8.1. Spring Force4 min

5.8.2. Example: Hooke's Law4 min

5.8.3. Practice: Hooke's Law

5.8.4. Practice: Spring Force function graph2 min

6. Force and Motion - II

3hr

6.1.1. Mass and Weight3 min

6.1.2. Normal Force2 min

6.1.3. Example: Weightlessness5 min

6.1.4. Kinetic and Static Friction6 min

6.1.5. Example: Box in back of truck4 min

6.1.6. Inclined Plane Problems2 min

6.1.7. Practice: Block on Slope with Friction8 min

6.1.8. Spring Force2 min

6.1.9. Tension Force and Pulleys2 min

6.2.1. Kinetic and Static Friction10 min

6.2.2. Rolling Friction2 min

6.2.3. Example: Sliding on Rough Surface8 min

6.2.4. Practice: Static vs Kinetic (Tricky!)6 min

6.3.1. Drag Force (Version I)3 min

6.3.2. Drag Force (Version II)3 min

6.3.3. Terminal Velocity6 min

6.3.4. Example: Drag Force (Version I)

6.3.5. Practice: Drag Force (Version II)5 min

6.4.1. Uniform Circular Motion6 min

6.4.2. Period and Frequency 7 min

6.4.3. Example: Uniform circular motion6 min

6.4.4. Practice: Circular Motion - Car Rounding a Curve5 min

6.4.5. Practice : Circular Motion - Ball on a String

6.5.1. Centripetal force12 min

6.5.2. Example: Circular Motion with Changing Radii3 min

6.5.3. Practice: Circular Motion - Vertical Circle8 min

6.5.4. Practice: Marble Sliding on a Rotating Hoop (Tricky!)14 min

6.6.1. Inclined Surfaces 7 min

6.6.2. Example: Inclined Surface8 min

6.6.3. Practice: Connecting Blocks on an Incline11 min

6.7.1. Car Turning Around a Circular Section of Road6 min

6.7.2. Example: Car Around a Circular Flat Ramp4 min

6.7.3. Practice: Car Rounding a Banked Turn8 min

7. Kinetic Energy and Work

1.4hr

7.1.1. Mechanical Work10 min

7.1.2. Example: Positive vs. Negative Work4 min

7.1.3. Practice: Work Involving Incline Surface (Ramp)15 min

7.2.1. Mechanical Work13 min

7.2.2. Practice: Work Done by Varying Force

7.2.3. Example: Work Done by a Varying Force (Calc-Based)

7.3.1. Work-energy theorem7 min

7.3.2. Example: Work-Energy Theorem11 min

7.3.3. Practice: work and energy - PE

7.3.4. Practice: Spring and slope problem6 min

7.3.5. Practice: work done2 min

7.4.1. Power3 min

7.4.2. Example: Power in Lifting4 min

7.4.3. Practice: Towing a Car7 min

8. Potential Energy and Conservation of Energy

1.2hr

8.1.1. Conservation of Energy9 min

8.1.2. Example: Work Done by Friction12 min

8.1.3. Practice13 min

8.2.1. Mechanical energy3 min

8.2.2. Example:mechanical energy1 min

8.2.3. Practice: mechanical energy1 min

8.2.4. Kinetic Energy, Gravitational Potential Energy and Conservation of Energy Problem4 min

8.2.5. Practice Question: conservation of mechanical energy1 min

8.3.1. Gravitational Potential Energy2 min

8.3.2. Practice: mechanical energy1 min

8.3.3. Practice example: conservation of energy4 min

8.3.4. Example: Energy conservation on a rollercoaster2 min

8.4.1. Conservative vs Non-Conservative Forces - Part 17 min

8.4.2. Conservative vs Non-Conservative Forces - Part 25 min

8.4.3. Practice: Conservative Forces

8.4.4. Example: Non-Conservative Forces

8.5.1. Chemical (Food) Energy7 min

8.5.2. Example: Food Energy

8.5.3. Practice: Converting Food to Kinetic Energy

9. Center of Mass and Linear Momentum

2.2hr

9.1.1. Center of Mass7 min

9.1.2. Center of Mass of Complicated Objects5 min

9.1.4. Practice5 min

9.2.1. Momentum and Impulse (Calculus-Based)6 min

9.2.2. Example: Impulse on a Soccer Ball3 min

9.2.3. Practice: Impulse on a Ball Hitting Wall11 min

9.2.4. Practice: Momentum of a Force Function (Calculus Based)4 min

9.3.1. Conservation of momentum12 min

9.3.2. Example: Collision2 min

9.3.3. Practice: Conservation of Momentum - 2 Carts8 min

9.3.4. Practice: Conservation of momentum - Ball Colliding with Block3 min

9.3.5. Practice: Conservation of Momentum - Two Carts Colliding4 min

9.4.1. Elastic Collision3 min

9.4.2. Elastic Collision with One Object Initially at Rest12 min

9.4.3. Inelastic Collision3 min

9.4.4. Perfectly Inelastic Collision4 min

9.4.5. Example: Inelastic Collision8 min

9.4.6. Practice: Inelastic Collisions4 min

9.4.7. Practice: Elastic Collision (Tricky!)7 min

9.5.1. Momentum and Impulse3 min

9.5.2. Momentum Conservation in 2D Collisions5 min

9.5.3. Example: Shell Explosion

9.5.4. Practice: Collision of Two Objects (2D)

9.5.5. Practice: 2D Inelastic Collision - Car Crash3 min

9.6.1. Momentum Conservation in the Center of Mass Frame5 min

9.6.2. Shell Explosion (One Object Separating into Two Objects) with Center of Mass Frame3 min

9.7.1. Propulsion4 min

10. Rotation

3hr

10.1.1. Kinematics Equations for Rotation7 min

10.1.2. Example: Rotating Wheel7 min

10.1.3. Practice: Falling Mass Attached to a Rotating Pulley11 min

10.2.1. Kinetic Energy of a Rotating Body4 min

10.2.2. Example: Falling Mass Attached to a Rotating Pulley8 min

10.2.3. Practice: Kinetic Energy of a Rotating Body (Tricky!)7 min

10.3.1. Moment of Inertia of Discrete Particles3 min

10.3.2. Moment of Inertia3 min

10.3.3. Example: Moment of Inertia (Calculus Based)7 min

10.3.4. Practice: angular momentum - Satellite

10.3.5. Practice: Rotational dynamics - Rotating Blade6 min

10.4.1. Static Equilibrium3 min

10.4.2. Example15 min

10.4.3. Practice13 min

10.5.1. Torque14 min

10.5.2. Example: Torrque5 min

10.5.3. Practice: Torque9 min

10.6.1. Rotational Analog of Newton's Second Law2 min

10.6.2. Example: Rotating Rod7 min

10.6.3. Practice: Falling Mass Attached to a Rotating Pulley11 min

10.7.1. Rotational Analog of Newton's Second Law2 min

10.7.2. Moment of Inertia of Discrete Particles3 min

10.7.3. Moment of Inertia3 min

10.7.4. Example: Rotating Rod7 min

10.7.5. Practice: Falling Mass Attached to a Rotating Pulley11 min

10.7.6. Example (Calculus Based)7 min

10.8.1. Rotational Work and Torque6 min

10.8.2. Example: Kinetic Energy of a Rotating Wheel6 min

10.8.3. Practice: Rotational kinetic energy - falling rod6 min

10.8.4. Practice: Objects rolling down a slope10 min

11. Rolling, Torque, and Angular Momentum

2.6hr

11.1.1. Note for Rolling Motion8 min

11.1.2. Example: Static Friction for Rolling Down a Slope10 min

11.1.3. Practice (Tricky!)14 min

11.2.1. Kinetic Energy of a Rotating Body4 min

11.2.2. Example: Falling Mass Attached to a Rotating Pulley8 min

11.2.3. Practice: Kinetic Energy of a Rotating Body (Tricky!)7 min

11.3.1. Torque14 min

11.3.2. Example: Torrque5 min

11.3.3. Practice: Torque9 min

11.4.1. Angular Momentum10 min

11.4.2. Example: Angular Momentum of Pendulum5 min

11.4.3. Practice: Angular Momentum - Spinning Weight5 min

11.5.1. Rotational Analog of Newton's Second Law2 min

11.5.2. Example: Rotating Rod7 min

11.5.3. Practice: Falling Mass Attached to a Rotating Pulley11 min

11.6.1. Kinematics Equations for Rotation7 min

11.6.2. Example: Rotating Wheel7 min

11.6.3. Practice: Falling Mass Attached to a Rotating Pulley11 min

11.7.1. Conservation of Angular Momentum5 min

11.7.2. Example: Angular Momentum Conservation

11.7.3. Practice: Angular Momentum - Spinning Weight5 min

12. Equilibrium & Elasticity

1.7hr

12.1.1. Static Equilibrium3 min

12.1.2. Example: Static Equilibrium of a Ladder15 min

12.1.3. Practice: Static Equilibrium - Man on a Beam13 min

12.2.1. Center of Mass7 min

12.2.2. Center of Mass of Complicated Objects5 min

12.2.3. Example: Center of Mass

12.2.4. Practice: Center of Mass of System of Objects (2D)5 min

12.3.1. Stress and Strain33 min

12.3.2. Elastic Properties of Solids3 min

12.3.3. Practice: Thermal Stress21 min

13. Oscillations

2.8hr

13.1.1. Concepts of Oscillation (Basic Version)10 min

13.1.2. Concepts of Oscillation (Advanced Version)14 min

13.1.3. Example: SHM position function

13.1.4. Practice: Angular motion2 min

13.2.1. Energy of an Oscillator11 min

13.2.2. Example: Spring & Mass System 10 min

13.2.3. Practice: Energy of Oscillation 4 min

13.3.1. Simple Pendulums 7 min

13.3.2. Example: Simple Pendulum3 min

13.3.3. Practice: Simple Pendulum7 min

13.4.1. Physical Pendulum4 min

13.4.2. Example: Physical Pendulum4 min

13.4.3. Practice: Simple Pendulum7 min

13.4.4. Practice: Simple Harmonic Motion: Pendulum

13.4.5. Practice: Oscillations - Displacement Function7 min

13.5.1. SHM as the Projection of a Uniform Circular Motion11 min

13.5.2. Example: SHM from Circular Motion - Equation of Position (x)

13.5.3. Practice: SHM from Circular Motion - Equation of Position (y)

13.6.1. Damped Oscillation Theory20 min

13.6.2. Energy in a Damped Oscillation6 min

13.6.3. Example: Damped Oscillation 6 min

13.6.4. Practice: Damping (Tricky!)17 min

13.7.1. Critical Damping and Over-Damping Conditions8 min

13.7.2. Example: critically damping motion2 min

13.7.3. Practice: Damping Motion2 min

13.8.1. Forced or Driven Oscillation6 min

13.8.2. Example: Forced Oscillation2 min

13.8.3. Practice: Forced Oscillation (Tricky!)

Midterm Exam Overview

Course Notes

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