8A Masterclass (Dr. Na Ji)
-- KINEMATICS --
Kinematics – Lecture
19 Topics
P01-010 – Measuring Time & Position
P01-020 – Particle Model
P01-030 – Position Vector
P01-040 – Displacement Vector
P01-050 – Average Velocity Vector
P01-060 – Average Acceleration Vector
P01-070 – Instantaneous Velocity
P01-080 – Instantaneous Acceleration
P01-090 – Relationship Between Velocity & Acceleration
P01-100 – Kinematic Equations with Constant Acceleration
P01-110 – Application: Free-Fall
P01-200 – Angular Position & Displacement
P01-210 – Average Angular Velocity
P01-220 – Average Angular Acceleration
P01-230 – Instantaneous Angular Velocity
P01-240 – Instantaneous Angular Acceleration
P01-250 – Relationship Between Angular Speed & Acceleration
P01-260 – Kinematic Equations for Circular Motion
P01-270 – Relating Angular and Linear Quantities
8A – Kinematics Summary
Kinematics – Problems
11 Topics
P01R2015 – Components & Dot Product
P01G2015 – Average Velocity
P01R2015 – Acceleration on an incline
P01R2015 – Vertical Free-fall
P01G2019 – Rocket Launch
P01G2019 – Cars Racing Alongside Each Other
P01R2021 – Physics Rocks
P01R2015 – Catching the Bus
P01R2015 – Highway Patrol
P01G2007 – Balls Colliding in Mid-air
P01G2008 – Passing a Car
-- PROJECTILE MOTION --
Projectile Motion – Lecture
7 Topics
P02-010 – Projectile Motion
P02-020 – Equations of Motion
P02-030 – Equation of the Path y = f(x)
P02-040 – Finding the Maximum Height
P02-050 – Property of the Path of the Projectile
P02-060 – Range of the Projectile
P02-070 – Launch Angle and Range Maximization
8A – Projectile Motion Summary
Projectile Motion – Problems
10 Topics
P02R2015 – Analysis of a Jump
P02R2015 – Hoop Spacing
P02G2018 – Air Drop
P02R2015 – A Ball Game
P02G2017 – Ball Toss
P02R2015 – Clearing the Edge of a Cliff
P02G2005 – Home Run
P02G2016 – Ball Thrown in the Air
P02G2020 – Football Toss
P02G2021 – Projectile Launched from Unknown Height
-- DYNAMICS --
Newton’s Laws – Lecture
13 Topics
P03-010 – Force and Vector Representation
P03-020 – Common Forces: weight force
P03-030 – Common Forces: tension force
P03-040 – Common Forces: normal force
P03-050 – Common Forces: friction forces
P03-060 – Common Forces: spring force & Hooke’s Law
P03-070 – Free-Body Diagram
P03-080 – Net Force
P03-090 – Newton’s First Law
P03-100 – Newton’s Second Law
P03-110 – Newton’s Third Law
P03-120 – Application: ideal string
P03-130 – Application: ideal pulley
8A – Newton’s Laws Summary
Newton’s Laws – Problems
20 Topics
P03G2018 – Blocks Slipping on an Incline
P03R2015 – Hanging Mass
P03R2015 – Keeping a Box at Rest
P03G2007 – Holding a Block on an Incline
P03G2008 – Holding a Block Up Against a Wall
P03G2016 – Pressing a Block Against a Wall
P03R2015 – Resting or Sliding Up an Incline
P03R2015 – Acceleration and Friction Forces
P03G2005 – Holding Up a Block
P03G2015 – Pushing on Three Blocks
P03B2006 – Who is Pulling Who?
P03G2016 – Joint Inclines
P03G2017 – Pulling Three Blocks
P03G2018 – Pulling and Lifting
P03G2020 – Connected Blocks
P03R2015 – Atwood Machine
P03R2015 – Acceleration Constraint
P03R2015 – Pulling Two Connected Boxes
P03G2021 – Minimum Slipping Force
P03G2022 – Pulling Blocks on an Incline
-- CIRCULAR MOTION --
Circular Motion – Lecture
14 Topics
P04-010 – Circular Motion
P04-020 – RTZ Coordinate System
P04-030 – Direction of Acceleration
P04-040 – Components of Acceleration
P04-050 – Derivation of the Components of Acceleration
P04-060 – Uniform & Non-Uniform Circular Motion
P04-070 – Period of Revolution
P04-080 – Newton’s Second Law
P04-090 – Angular Position & Displacement
P04-100 – Instantaneous Angular Velocity
P04-110 – Instantaneous Angular Acceleration
P04-120 – Relationship Between Velocity and Acceleration
P04-130 – Kinematic Equations for Circular Motion
P04-140 – Relating Angular & Linear Quantities
8A – Circular Motion Summary
Circular Motion – Problems
10 Topics
P04G2016 – Lift Force on a Plane
P04B2006 – Space Ride
P04G2017 – Toy Car
P04G2018 – Holding a Block against a Wall
P04S2016 – Sliding Around a Funnel
P04S2016 – Pendulum on Planet Vulcan
P04G2019 – Semicircular Hill and Valley
P04G2005 – Flying in a Loop
P04R2015 – Around the Loop
P04G2022 – Pendulum
-- WORK & ENERGY --
Work & Energy – Lecture
14 Topics
P05-010 – Energy
P05-020 – Kinetic Energy
P05-030 – Gravitational Potential Energy
P05-040 – Elastic Potential Energy
P05-050 – Mechanical Energy
P05-060 – Work Done by a Force
P05-070 – Calculating the Work Done by a Force
P05-080 – Conservative Force
P05-100 – Work Done by the Weight Force
P05-110 – Work Done by the Spring Force
P05-120 – Work-Kinetic Energy Theorem
P05-130 – Derivation of the Work-Kinetic Energy Theorem
P05-140 – Conservation of Mechanical Energy
P05-150 – Power and Mechanical Power
8A – Work & Energy Summary
Work & Energy – Problems
14 Topics
P05G2007 – Package Landing on a Spring
P05S2016 – Sliding Over a Hill
P05L2022 – From One Spring to Another
P05G2019 – Block on a Vertical Spring
P05G2020 – Frictionless Ramp
P05G2016 – Mass-Spring System
P05R2015 – Rough Sliding
P05G2017 – Shooting a Crate
P05G2018 – Back and Forth Between Springs
P05R2021 – Launching a Block Up a Rough Incline
P05G2016 – Non-Conservative Force
P05G2018 – Projectile Launched from a Ramp
P05G2019 – Pushing a Block on the Ceiling
P05G2021 – Friction Under a Spring
-- MIDTERM 1 - STUDY GUIDE --
Bordel – 8A 2016 Spring – Midterm 1 – L1
4 Topics
P01B2016 – Jetliner Landing
P02B2016 – Rescue Operation
P04B2016 – Banked Curve vs. Flat Curve
P05B2016 – Swinging on a Vine
Bordel – 8A 2017 Spring – Midterm 1 – L1
4 Topics
P01B2017 – Airport Connection
P04B2017 – Ball Launched from a Tube
P03B2017 – Alpinists in Danger
P05B2017 – Up the Incline
Bordel – 8A 2017 Spring – Midterm 1 – L2
4 Topics
P01B2017 – Dropped and Tossed Balls
P02B2017 – Golf Course
P04B2017 – Interconnected Masses
P05B2017 – Loop the Loop
Bordel – 8A 2018 Spring – Midterm 1 – L1
4 Topics
P01B2018 – Tiger on a Linear Hunting Path
P02B2018 – The Impressive Spit of the Archerfish
P03B2018 – Baby Bouncer
P04B2018 – Car Rounding a Curve
Bordel – 8A 2018 Fall – Midterm 1 – L2
4 Topics
P01B2018 – The Tortoise & the Hare
P02B2018 – Stranded on a Desert Island
P03B2018 – Pushing a Crate
P04B2018 – Interconnected Blocks
Bordel – 8A 2019 Fall – Midterm 1 – L2
4 Topics
P01B2019 – Stop-and-Go Traffic
P02B2019 – Water Balloon Game
P03B2019 – Water Skiing
P04B2019 – A Fairground Ride
Bordel – 8A 2020 Spring – Midterm 1 – L1
4 Topics
P01B2020 – Miniature Rocket Launch
P02B2020 – Medieval Attack Reenactment
P03B2020 – Sliding Blocks
P04B2020 – A Fun Ride
Bordel – 8A 2020 Fall – Midterm 1 – L2
4 Topics
P01B2020 – Trains Approaching
P02B2020 – Ball Thrower
P03B2020 – Blocks and Pulley
P04B2020 – Tether Ball
Bordel – 8A 2021 Spring – Midterm 1 – L2
4 Topics
P01B2021 – Brake Failure
P02B2021 – Ring Toss
P05B2021 – Ski Patrol
P04B2021 – Racing Outside of a Cone
Bordel – 8A 2023 Spring – Midterm 1 – L1
4 Topics
P02B2023 – Jump of a Grasshopper
P05B2023 – Ski Lift
P04B2023 – Cube on a Rotating Disk
P05B2023 – Boat Launch Ramp
Bordel – 8A 2024 Spring – Midterm 1 – L1
4 Topics
P02R2024 – Ball Landing on an Incline
P05B2024 – Ski Patrol
P04B2024 – Interconnected Blocks
P05B2024 – Up the Incline
8A Masterclass – Practice Midterm 1 (graded)
8A Masterclass – Midterm 1 Review Session
-- GRAVITATION --
Gravitation – Lecture
16 Topics
P07-010 – Gravitational Field
P07-020 – Gravitational Force
P07-030 – The Weight Force
P07-040 – The Principle of Superposition
P07-050 – Circular Orbits: uniform circular motion
P07-060 – Circular Orbits: orbital speed
P07-070 – Circular Orbits: period of revolution
P07-080 – Gravitational Potential Energy
P07-090 – Gravitational Potential Energy for a System of Masses
P07-100 – Gravitational Potential Energy and Work
P07-110 – Conservation of Mechanical Energy
P07-120 – Nature of Orbits and Mechanical Energy
P07-130 – Escape Velocity
P07-150 – Kepler’s 1st Law: law of orbits
P07-160 – Kepler’s Second Law: law of areas
P07-170 – Kepler’s Third Law: law of periods for circular orbits
8A – Gravitation Summary
Gravitation – Problems
8 Topics
P07R2015 – Accelerations Due to Gravity
P07S2015 – Mass Density of the Earth & the Moon
P07R2015 – Orbiting Satellite
P07R2015 – Geostationary Satellite
P07S2013 – Three Orbiting Bodies
P07S2013 – Orbiting the Center of Mass
P07R2015 – Satellite Orbiting Earth
P07R2015 – Of Kepler’s Laws
-- IMPULSE & MOMENTUM --
Impulse & Moment. – Lecture
10 Topics
P06-010 – Momentum Vector
P06-020 – Newton’s Second Law in Momentum Form
P06-030 – Conservation of Momentum
P06-040 – Impulse of a Force
P06-050 – How to Calculate an Impulse
P06-060 – Impulse-Momentum Theorem
P06-070 – Inelastic & Elastic Collisions
P06-080 – Solving Strategy: perfectly inelastic collision
P06-090 – Solving Strategy: head-on elastic collision
P06-100 – Solving Strategy: off-center elastic collision
8A – Impulse & Momentum Summary
Impulse & Moment. – Problems
16 Topics
P06G2005 – Game of Catch
P06L2018 – Plate Pieces
P06R2015 – Explosion of a Hockey Puck
P06R2015 – Ballistic Pendulum
P06G2019 – Blocks & Compressed Spring
P06B2006 – Saving Lois?
P06G2007 – Three Colliding Blocks
P06G2017 – Sequence of Collisions
P06R2019 – Two Collisions in a Row
P06G2016 – Collision Between Three Masses
P06G2018 – Masses Bouncing Off Each Other
P06G2020 – Speed Before and After a Collision
P06R2020 – Inelastic Collision vs. Elastic Collision
P06D2009 – Fun with a Slingshot
P06S2016 – Sliding Down and Back Up
P06G2015 – Inelastic Collision
-- CENTER OF MASS --
Center of Mass – Lecture
6 Topics
P08-010 – Center of Mass of a System of Particles
P08-020 – Position of the Center of Mass
P08-030 – Velocity of the Center of Mass
P08-040 – Acceleration of the Center of Mass
P08-050 – Newton’s Second Law and Center of Mass
P08-060 – Center of Mass of a Rigid Body
Center of Mass – Problems
9 Topics
P08G2019 – Stacked Blocks
P08R2015 – Walking to the End of the Canoe
P08D2014 – Elephant on a Train Car
P08R2015 – Collision and COM of Two Blocks
P08R2015 – Two Sliding Masses
P08R2015 – Two Sliding Masses at it Again
P08R2015 – COM of Three Boxes
P08R2015 – Exploding Firework
P08S2015 – Jumping the Plank
-- TORQUE - STATICS --
Statics – Lecture
5 Topics
P09-010 – Equilibrium of an Extended Body
P09-020 – Introduction: three simple cases
P09-030 – Reminder: cross product of two vectors
P09-040 – Torque Created by a Force
P09-050 – Equilibrium Condition for an Extended Body
8A – Statics Summary
Statics – Problems
14 Topics
P09R2020 – Balanced Beam
P09R2020 – Balanced Beam with Hanging Mass
P09B2021 – Drawbridge
P09R2015 – Resting Ladder
P09R2015 – Ladder and Painter
P09S2016 – Balanced Sphere
P09R2015 – Straw Balanced Across a Glass
P09G2019 – Non-Uniform Hanging Bar
P09B2011 – Marble Quarry Crane
P09G2007 – Rod in Equilibrium
P09G2016 – Balancing a Horizontal Rod
P09G2017 – Two Balanced Rods
P09G2020 – Beam with Two Sections
P09G2018 – Balanced Pole
-- TORQUE - DYNAMICS --
Dynamics – Lecture
7 Topics
P10-010 – Solid Rotation
P10-020 – Angular Velocity Vector
P10-030 – Angular Acceleration Vector
P10-040 – Moment of Inertia
P10-050 – List of Moments of Inertia
P10-090 – Parallel-Axis Theorem
P10-100 – Newton’s Second Law for Rotational Motion
8A – Dynamics Summary
Dynamics – Problems
11 Topics
P10S2015 – Helicopter Blade
P10G2005 – Rotating a Disk and a Rod
P10G2016 – Rotating Cylinder
P10D2013 – Pushing a Dresser
P10G2018 – Pushing a Door and a Box
P10R2015 – Kinematics of a Hollow Sphere
P10R2015 – Atwood Machine
P10G2019 – Blocks & Non-ideal Pulley
P10G2007 – Pulley Lowering a Block
P10L2018 – Moment of Inertia of a Pulley
P10G2015 – Acceleration of a Pulley
-- TORQUE - ENERGY & MOMENTUM --
Energy & Moment. – Lecture
11 Topics
P11-010 – Angular Momentum
P11-020 – Newton’s Second Law in Angular Momentum Form
P11-030 – Conservation of Angular Momentum
P11-040 – Impulse-Momentum Theorem of Angular Momentum
P11-050 – Rolling Motion
P11-060 – Rolling w/o Slipping and Static Friction
P11-070 – Rotational Kinetic Energy
P11-080 – Rolling Kinetic Energy
P11-090 – Work Done by a Torque
P11-100 – Work-Kinetic Energy Theorem
P11-110 – Conservation of Energy for Rolling w/o Slipping
Energy & Moment. – Problems
21 Topics
P11G2019 – Biking Down a Hill
P11G2007 – Kinetic Energy of a Spool
P11G2008 – Rotating Rod
P11G2016 – Unraveling a String Wound on a Sphere
P11G2017 – Velocity of a Rolling Disk
P11R2015 – Atwood Machine
P11G2018 – Two-Disk Pulley
P11R2015 – Down the Incline
P11G2015 – Around the Loop
P11G2005 – Pulley with Friction
P11R2015 – Vertical Swinging Rod
P10S2016 – Rolling on a Circular Track
P11G2015 – Disk Rolling then Sliding
P11B2006 – Rusty Barn Door
P11S2017 – Spinning Bike Wheel
P11S2016 – Fleas Jumping Off a Disk
P11G2015 – Collision with a Swinging Stick
P11S2013 – All Sorts of Momentum
P11R2015 – Jumping on a Carousel
P11Y2015 – Ballistic Pendulum
P11S2019 – Stopping a Rotating Rod
-- MIDTERM 2 - STUDY GUIDE --
Bordel – 8A 2012 Spring – Midterm 2 – L2
4 Topics
P07B2012 – Orbiting Spaceship
P06B2012 – Cars Colliding
P11B2012 – Rolling up an Incline
P09B2012 – Car Rescue
Bordel – 8A 2016 Spring – Midterm 2 – L2
4 Topics
P07B2016 – Space Maneuvers
P05B2016 – Roller Coaster
P06B2016 – Fireworks
P11B2016 – Potter Wheel
Bordel – 8A 2017 Spring – Midterm 2 – L1
4 Topics
P07B2017 – Blast Off
P05B2017 – Sliding Block
P06B2017 – Ballistic Pendulum
P11B2017 – Throwing Mud
Bordel – 8A 2017 Spring – Midterm 2 – L2
4 Topics
P07B2017 – Satellite and Asteroid
P05B2017 – Ball Launcher
P06B2017 – Fun at the Arcade
P11B2017 – Spinning Wheel
Bordel – 8A 2018 Spring – Midterm 2 – L1
4 Topics
P05B2018 – Loop-the-Loop
P06B2018 – Colliding Particles
P10B2018 – Block Lowered by a Pulley
P11B2018 – A Playful Mouse
Bordel – 8A 2018 Fall – Midterm 2 – L2
4 Topics
P05B2018 – Puck on an Incline
P06B2018 – Collision with a Pendulum
P10B2018 – Dropping Anchor
P11B2018 – Ball Race
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Projectile Motion – Problems
8A Masterclass (Dr. Na Ji)
Projectile Motion – Problems
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P02R2015 – Analysis of a Jump
P02R2015 – Hoop Spacing
P02G2018 – Air Drop
P02R2015 – A Ball Game
P02G2017 – Ball Toss
P02R2015 – Clearing the Edge of a Cliff
P02G2005 – Home Run
P02G2016 – Ball Thrown in the Air
P02G2020 – Football Toss
P02G2021 – Projectile Launched from Unknown Height
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