Physics I for Engineers & Scientists

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Mechanics - Kinematics
Kinematics – Problems
17 Topics
P01R2015 – Components & Dot Product
P01G2015 – Average Velocity
P01R2015 – Graphical Subtraction of Vectors
P01R2015 – Acceleration on an incline
P01R2015 – Vertical Free-fall
P01R2015 – Rising Rocket
P01G2019 – Rocket Launch
P01G2019 – Cars Racing Alongside Each Other
P01R2021 – Physics Rocks
P01R2015 – Catching the Bus
P01R2020 – Coming at Each Other
P01R2020 – Trains Crossing
P01R2015 – Highway Patrol
P01G2007 – Balls Colliding in Mid-air
P01G2008 – Passing a Car
P01R2015 – Furiously Fast
P01R2015 – Biking Along
Projectile Motion – Problems
9 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
P02S2010 – Tennis Ball Launcher and Mobile Target
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
Newton’s Laws – Problems
23 Topics
P03G2018 – Blocks Slipping on an Incline
P03R2015 – Hanging Mass
P03R2015 – Keeping a Box at Rest
P03B2006 – Sliding or Not?
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
P03S2016 – Corvette Flying Off a Cliff
P03G2005 – Holding Up a Block
P03R2015 – Marble Falling in Glycerin
P03G2015 – Pushing on Three Blocks
P03S2016 – Pulling Stacked Blocks
P03R2015 – Blocks Sliding Down a Ramp
P03B2006 – Who is Pulling Who?
P03G2016 – Joint Inclines
P03G2017 – Pulling Three Blocks
P03G2018 – Pulling and Lifting
P03R2015 – Atwood Machine
P03R2015 – Acceleration Constraint
P03S2008 – Two Blocks on the Verge of Slipping
P03R2015 – Pulling Two Connected Boxes
Mechanics - Dynamics
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
Circular Motion – Problems
11 Topics
P04G2016 – Lift Force on a Plane
Interconnected Masses
P04B2006 – Space Ride
P04G2017 – Toy Car
P04G2018 – Holding a Block against a Wall
P04S2016 – Sliding Around a Funnel
P04S2016 – Pendulum on Planet Vulcan
Car Rounding a Curve
P04G2019 – Semicircular Hill and Valley
P04G2005 – Flying in a Loop
P04R2015 – Around the Loop
Work & Energy – Lecture
15 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
P05-090 – Conservative Force and Gradient of Pot. Energy
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
Work & Energy – Problems
17 Topics
P05G2007 – Package Landing on a Spring
P05S2016 – Sliding Over a Hill
P05G2019 – Block on a Vertical Spring
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
P05S2016 – Sliding Down and Bouncing Back Up
P05S2015 – Sliding Across a Track
P05G2016 – Non-Conservative Force
P05D2017 – Trapeze Artist and a Big Spring
P05G2019 – Pushing a Block on the Ceiling
P05G2018 – Projectile Launched from a Ramp
P05R2015 – Risky Swinging
P05B2018 – Loop-the-Loop
P05R2015 – Tension Force with Changing Direction
Impulse & Moment. – Lecture
12 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
P06-110 – Conservation of Momentum for Variable Mass Systems: the rocket equation
P06-120 – Impulse-Momentum Theorem for Variable Mass Systems
Impulse & Moment. – Problems
14 Topics
P06G2005 – Game of Catch
P06G2019 – Blocks & Compressed Spring
P06B2006 – Saving Lois?
P06G2007 – Three Colliding Blocks
P06G2017 – Sequence of Collisions
P06R2019 – Two Collisions in a Row
P06R2015 – Ballistic Pendulum
P06G2016 – Collision Between Three Masses
P06G2018 – Masses Bouncing Off Each Other
P06R2015 – Blocks Colliding
P06R2015 – Explosion of a Hockey Puck
P06R2020 – Inelastic Collision vs. Elastic Collision
P06D2009 – Fun with a Slingshot
P06R2015 – Rocket Sled
Gravitation – Lecture
28 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
P07-180 – Kepler’s Third Law: law of periods for elliptical orbits
07-185 – A Few Useful Definitions
P07-190 – Gravitational Flux
P07-200 – Gauss’s Theorem for Gravitation
P07-210 – Computation: infinite line of mass
P07-220 – Computation: infinite cylinder of mass
P07-230 – Computation: infinite sheet of mass
P07-240 – Computation: solid sphere of mass
P07-250 – Computation: finite line of mass
P07-260 – Computation: semi-circle of mass
P07-270 – Computation: ring of mass
P07-280 – Computation: disk of mass
Gravitation – Problems
9 Topics
P07R2015 – Accelerations Due to Gravity
P07R2015 – Orbiting Satellite
P07R2015 – Geostationary Satellite
P07S2013 – Three Orbiting Bodies
P07S2013 – Orbiting the Center of Mass
P07R2015 – Gravitational Potential Energy & Work
P07R2015 – Satellite Orbiting Earth
P07R2015 – Of Kepler’s Laws
P07R2015 – Gravitational Field of a Washer of Mass
Center of Mass – Lecture
10 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
P08-070 – Computation: center of mass of a uniform rod of mass
P08-080 – Computation: center of mass of a uniform cylinder
P08-100 – Computation: center of mass of a compound body
P08-110 – Computation: center of mass of a hollow body
Center of Mass – Problems
11 Topics
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
P08G2019 – Stacked Blocks
P08R2015 – A Grenade Exploding in Midair
P08R2015 – Exploding Firework
P08S2015 – Jumping the Plank
P08R2015 – COM of rigid bodies
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
Statics – Problems
13 Topics
P09G2018 – Balanced Pole
P09R2015 – Ladder and Painter
P09R2015 – Resting Ladder
P09R2020 – Balanced Beam
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
P09R2015 – Suspended Beam
P09R2020 – Balanced Beam with Hanging Mass
Mechanics - Solid Rotation
Dynamics – Lecture
10 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
P10-060 – Computation: moment of inertia of a solid rod
P10-070 – Computation: moment of inertia of a solid cylinder
P10-080 – Computation: moment of inertia of a solid sphere
P10-090 – Parallel-Axis Theorem
P10-100 – Newton’s Second Law for Rotational Motion
Dynamics – Problems
11 Topics
P10G2005 – Rotating a Disk and a Rod
P10G2016 – Rotating Cylinder
P10D2013 – Pushing a Dresser
P10D2013 – Wheel on a Hill
P10G2018 – Pushing a Door and a Box
P10R2015 – Kinematics of a Hollow Sphere
P10S2015 – Helicopter Blade
P10G2019 – Blocks & Non-ideal Pulley
P10G2007 – Pulley Lowering a Block
P10R2015 – Atwood Machine
P10B2018 – Block Lowered by a Pulley
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
14 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
P11G2018 – Two-Disk Pulley
P11R2015 – Down the Incline
P11G2015 – Around the Loop
P11R2015 – Rolling Without Slipping Around a Loop
P11G2005 – Pulley with Friction
P11Y2016 – Unraveling a String
Spinning Bike Wheel
P11R2015 – Atwood Machine
P11R2015 – Vertical Swinging Rod
Fluids – Lecture
10 Topics
P12-010 – Definitions for Fluids
P12-020 – Mass Density & Pressure
P12-030 – Fundamental Equation of Hydrostatics
P12-040 – Hydrostatic Pressure in a Uniform Gravitational Field
P12-050 – Buoyant Force & Archimedes’ Principle
P12-060 – Floating Condition and Neutrally Buoyant Objects
P12-070 – Pascal’s Principle
P12-090 – Volume Flow Rate & Mass Flow Rate
P12-100 – Continuity Equation
P12-110 – Bernoulli’s Equation
Fluids – Problems
17 Topics
P12G2005 – Floating Glass Beaker
P12G2007 – Boat with a Ballast
P12G2016 – Floating Cylinder
P12G2019 – Anchored Barge
P12R2015 – U-Shaped Tube with Oil and Water
P12R2015 – The Hidden Part of the Iceberg
P12G2018 – Piece of Iron with Cavities
Force and Torque on a Dam
P12G2016 – Flow Through a Horizontal Pipe
P12G2019 – Large Hole in Water Tank
P12G2008 – Hose Draining a Tank
P12G2015 – Flow Through a Pipe
P12G2017 – Flow Through Pitot Tube
P12G2018 – Narrow Pipe on a Tank
P12R2015 – Pitot Tube
P12G2007 – Water Leaking Out of a Tank
P12R2015 – Toricelli’s Law
Mechanics - Fluids
Oscillations – Lecture
19 Topics
P13-010 – Oscillatory Motion
P13-020 – Definitions: period, frequency, and amplitude
P13-030 – Modeling Oscillations Mathematically
P13-060 – Methods to Determine the Phase Constant
P13-040 – Velocity & Acceleration of Oscillations
P13-050 – Maximum Speed and Maximum Acceleration
P13-070 – Review: second-order differential equations
P13-080 – Classic Oscillators: horizontal mass-spring oscillator
P13-090 – Classic Oscillators: vertical mass-spring oscillator
P13-100 – Classic Oscillators: simple pendulum
P13-110 – Classic Oscillators: physical pendulum
P13-120 – Classic Oscillators: torsional pendulum
P13-130 – Conservation of Energy: horizontal oscillator
P13-140 – Conservation of Energy: vertical mass-spring oscillator
P13-150 – Conservation of Energy: simple pendulum
P13-160 – Conservation of Energy: physical pendulum
P13-170 – Conservation of Energy: torsional pendulum
P13-180 – Springs in Series or in Parallel
P13-190 – Modeling Damped Oscillations
Oscillations – Problems
11 Topics
P13R2015 – Springs in Series and in Parallel
Cylinder-Spring Oscillator
P13G2008 – Oscillating Block
P13G2017 – Horizontal Oscillator
P13G2019 – Mass of an Oscillating Block
P13R2015 – Superposed Oscillating Blocks
P13R2015 – Choosing a Torsional Constant
P13G2015 – Collision then Oscillations
P13G2018 – Mass Dropped on an Oscillator
P13R2015 – Energy of a Horizontal Oscillator
P13R2015 – Energy of a Simple Pendulum
Mechanics - Oscillations & Waves
Mechanical Waves – Lecture
22 Topics
P14-010 – Fundamental Definitions
P14-020 – Classification of Waves
P14-030 – One-Dimensional Sinusoidal Traveling Waves
P14-040 – Period and Wavelength
P14-050 – Speed of a Traveling Wave
P14-060 – Principle of Superposition
P14-070 – Constructive and Destructive Interference
P14-080 – Conditions for Constructive and Destructive Interference
P14-090 – Waves on a String Under Tension
P14-100 – Celerity of a Wave on a String
P14-110 – Reflection of a Wave at a Boundary
P14-120 – Standing Waves
P14-130 – Patterns, Fundamental Frequency, Harmonics
P14-140 – Soundwaves
P14-150 – Wave Equation in a Fluid
P14-160 – Standing Waves in a Column of Air
P14-170 – Column of Air Closed at Both Ends
P14-180 – Column of Air Open at Both Ends
P14-190 – Column of Air with Open/Closed Ends
P14-200 – Beats
P14-210 – Doppler Effect
P14-220 – Intensity and Sound Level
Mechanical Waves – Problems
15 Topics
P14G2007 – Standing Wave on a Wire
P14G2015 – Standing Wave on a String
P14G2016 – Vibrating Wire
P14G2018 – Standing Wave Pattern
P14R2015 – Two Strings
P14Y2010 – Hanging Rope
P14G2008 – Another Vibrating Wire
P14G2019 – Standing Waves in a Pipe
P14R2015 – A Tuning Fork and a Tube
P14R2015 – Interfering Soundwaves
P14G2007 – Bat Flying Toward a Wall
P14G2015 – Extraterrestrial Doppler Shift
P14G2017 – Doppler-Shifted Train Whistle
P14R2015 – Foghorns on the Bay
P14G2016 – Oscillating Speaker
Calorimetry – Lecture
10 Topics
P15-010 – Thermal Equilibrium: the zeroth law
P15-020 – Temperature Scales
P15-030 – Thermal Expansion of Solids
P15-040 – Phase Change of a Pure Compound
P15-050 – Heat
P15-060 – Calorimetry
P15-070 – Specific Heat & Latent Heat
P15-080 – Heat Transfer: Conduction
P15-090 – Heat Transfer: Convection
P15-100 – Heat Transfer: Radiation
Calorimetry – Problems
9 Topics
P15B2015 – Alcohol Thermometer
P15R2015 – Conduction Through Different Slabs
P15G2017 – Water Vapor and Ice
P15R2015 – Cooling of a Metal Disk
P15R2015 – Heating an Ice Cube
P15R2020 – Whiskey on the Rocks
P15G2016 – Ice Cube in Water
P15R2009 – Magic Shell
P15G2018 – Composition of Final Mixture
Kinetic Theory – Lecture
9 Topics
P16-010 – Ideal Gas Law
P16-020 – Kinetic Theory of the Monatomic Ideal Gas
P16-030 – Kinetic Pressure & Kinetic Temperature
P16-040 – RMS Speed & Kinetic Energy
P16-050 – Mean Free Path
P16-060 – Maxwell Speed Distribution
P16-070 – Degrees of Freedom
P16-080 – Kinetic Theory of the Polyatomic Ideal Gas
P16-090 – Molar Specific Heats of an Ideal Gas
Calorimetry & Thermodynamics
Kinetic Theory – Problems
3 Topics
P16B2015 – Gas in a 2D Space
P16B2014 – Molecular Speed Distribution
P16S2012 – Comparing RMS Velocities
First Law – Lecture
18 Topics
P17-010 – Thermodynamic Transformations of a System
P17-020 – PV Diagram & Processes
P17-030 – Internal Energy
P17-040 – First Law of Thermodynamics
P17-050 – Work Done by an Ideal Gas
P17-060 – Heat Transfer for an Ideal Gas
P17-070 – Free Expansion
P17-080 – Thermal Devices
P17-090 – Heat Engine
P17-100 – Efficiency of a Heat Engine
P17-110 – Carnot Cycle
P17-120 – Otto Cycle
P17-130 – Diesel Cycle
P17-140 – Brayton Cycle
P17-150 – Stirling Cycle
P17-160 – Refrigerators & Heat Pumps
P17-170 – Coefficient of Performance of a Refrigerator
P17-180 – Coefficient of Performance of a Heat Pump
First Law – Problems
16 Topics
P17B2017 – Van der Waals Gas
P17G2007 – Ideal Gas in a Cylinder
P17R2015 – Final Height of a Piston
P17R2015 – Gas Compression
P17R2015 – Cylinder with Moving Piston
P17G2007 – Work and Heat over a Cycle
P17B2017 – Cyclic Process
P17G2008 – Mystery Process
P17G2016 – Thermodynamic Cycle
P17G2017 – Three-Step Cycle
P17G2018 – Heat Transfer over a Cycle
P17G2019 – Cycle with Linear Segment
P17G2015 – Cycle of a Monatomic Gas
P17B2018 – Heat Engine and Square Cycle
P17L2015 – Solar Energy for Air Conditioning
P17R2015 – Engine or Refrigerator
Second Law – Lecture
7 Topics
P18-010 – Entropy
P18-020 – Entropy Change of a Reversible Process
P18-030 – Relating P, V, and T for an Isentropic Process
P18-040 – Second Law of Thermodynamics for an Isolated System
P18-050 – TS Diagram
P18-060 – Entropy Change of a Free Expansion
P18-070 – Statistical Interpretation of Entropy
Second Law – Problems
6 Topics
P18L2015 – Entropy Calculations
P18G2008 – Water Condensation & Entropy Change
P18R2015 – Ice Cube in Lake
P18R2015 – Gibbs Theorem
P18B2016 – Entropy Changes over a Cycle
P18S2014 – TS Diagram of an Ideal Gas
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