Preface

I: Getting Ready to Learn Physics

The Method of Three Passes

II: Elementary Mechanics

1.5.1: The Forces of Nature

1.5.2: Force Rules

Example 1.6.1: Spring and Mass in Static Force Equilibrium

Example 1.7.1: A Mass Falling from Height H

Example 1.7.2: A Constant Force in One Dimension

1.7.1: Solving Problems with More Than One Object

Example 1.7.3: Atwood's Machine

Example 1.7.4: Braking for Bikes, or Just Breaking Bikes?

1.8.1: Free Flight Trajectories – Projectile Motion

Example 1.8.1: Trajectory of a Cannonball

1.8.2: The Inclined Plane

Example 1.8.2: The Inclined Plane

1.9.1: Tangential Velocity

1.9.2: Centripetal Acceleration

Example 1.9.1: Ball on a String

Example 1.9.2: Tether Ball/Conic Pendulum

1.9.3: Tangential Acceleration

Example 2.1.1: Inclined Plane of Length L with Friction

Example 2.1.2: Block Hanging off of a Table

Example 2.1.3: Find The Minimum No-Skid Braking Distance for a Car

Example 2.1.4: Car Rounding a Banked Curve with Friction

2.2.1: Stokes, or Laminar Drag

2.2.2: Rayleigh, or Turbulent Drag

2.2.3: Terminal velocity

Example 2.2.1: Falling From a Plane and Surviving

Example 2.2.2: Solution to Equations of Motion for Stokes' Drag

2.2.4: Advanced: Solution to Equations of Motion for Turbulent Drag

Example 2.2.3: Dropping the Ram

2.3.1: Time

2.3.2: Space

2.4.1: Identifying Inertial Frames

Example 2.4.1: Weight in an Elevator

Example 2.4.2: Pendulum in a Boxcar

2.4.2: Advanced: General Relativity and Accelerating Frames

3.1.1: Units of Work and Energy

3.1.2: Kinetic Energy

3.2.1: Derivation I: Rectangle Approximation Summation

3.2.2: Derivation II: Calculus-y (Chain Rule) Derivation

Example 3.2.1: Pulling a Block

Example 3.2.2: Range of a Spring Gun

3.3.1: Force from Potential Energy

3.3.2: Potential Energy Function for Near-Earth Gravity

3.3.3: Springs

3.4.1: Force, Potential Energy, and Total Mechanical Energy

Example 3.4.1: Falling Ball Reprise

Example 3.4.2: Block Sliding Down Frictionless Incline Reprise

Example 3.4.3: A Simple Pendulum

Example 3.4.4: Looping the Loop

Example 3.5.1: Block Sliding Down a Rough Incline

Example 3.5.2: A Spring and Rough Incline

3.5.1: Heat and Conservation of Energy

Example 3.6.1: Rocket Power

3.7.1: Energy Diagrams: Turning Points and Forbidden Regions

4.1.1: Newton's Laws for a System of Particles – Center of Mass

Example 4.1.1: Center of Mass of a Few Discrete Particles

4.1.2: Coarse Graining: Continuous Mass Distributions

Example 4.1.2: Center of Mass of a Continuous Rod

Example 4.1.3: Center of mass of a circular wedge

Example 4.1.4: Breakup of Projectile in Midflight

4.2.1: The Law of Conservation of Momentum

Example 4.3.1: Average Force Driving a Golf Ball

Example 4.3.2: Force, Impulse and Momentum for Windshield and Bug

4.3.1: The Impulse Approximation

4.3.2: Impulse, Fluids, and Pressure

4.5.1: Momentum Conservation in the Impulse Approximation

4.5.2: Elastic Collisions

4.5.3: Fully Inelastic Collisions

4.5.4: Partially Inelastic Collisions

4.5.5: Dimension of Scattering and Sufficient Information

4.6.1: The Relative Velocity Approach

4.6.2: 1D Elastic Collision in the Center of Mass Frame

4.6.3: The ``BB/bb'' or ``Pool Ball'' Limits

Example 4.8.1: One-dimensional Fully Inelastic Collision (only)

Example 4.8.2: Ballistic Pendulum

Example 4.8.3: Partially Inelastic Collision

5.2.1: The r-dependence of Torque

5.2.2: Summing the Moment of Inertia

Example 5.3.1: The Moment of Inertia of a Rod Pivoted at One End

5.3.1: Moment of Inertia of a General Rigid Body

Example 5.3.2: Moment of Inertia of a Ring

Example 5.3.3: Moment of Inertia of a Disk

5.3.2: Table of Useful Moments of Inertia

Example 5.4.1: Rolling the Spool

Example 5.5.1: The Angular Acceleration of a Hanging Rod

Example 5.6.1: A Disk Rolling Down an Incline

Example 5.6.2: Atwood's Machine with a Massive Pulley

5.7.1: Work Done on a Rigid Object

5.7.2: The Rolling Constraint and Work

Example 5.7.1: Work and Energy in Atwood's Machine

Example 5.7.2: Unrolling Spool

Example 5.7.3: A Rolling Ball Loops-the-Loop

Example 5.8.1: Moon Around Earth, Earth Around Sun

Example 5.8.2: Moment of Inertia of a Hoop Pivoted on One Side

Example 5.9.1: Moment of Inertia of Hoop for Planar Axis

6.2.1: The Law of Conservation of Angular Momentum

Example 6.3.1: Angular Momentum of a Point Mass Moving in a Circle

Example 6.3.2: Angular Momentum of a Rod Swinging in a Circle

Example 6.3.3: Angular Momentum of a Rotating Disk

Example 6.3.4: Angular Momentum of Rod Sweeping out Cone

Example 6.4.1: The Spinning Professor

6.4.1: Radial Forces and Angular Momentum Conservation

Example 6.4.2: Mass Orbits On a String

Example 6.5.1: Fully Inelastic Collision of Ball of Putty with a Free Rod

Example 6.5.2: Fully Inelastic Collision of Ball of Putty with Pivoted Rod

6.5.1: More General Collisions

Example 6.6.1: Rotating Your Tires

Example 6.7.1: Finding p From L/t (Average)

Example 6.7.2: Finding p from L and t Separately

Example 6.7.3: Finding p from Calculus

Example 7.2.1: Balancing a See-Saw

Example 7.2.2: Two Saw Horses

Example 7.2.3: Hanging a Tavern Sign

7.2.1: Equilibrium with a Vector Torque

Example 7.2.4: Building a Deck

Example 7.3.1: Tipping Versus Slipping

Example 7.3.2: Tipping While Pushing

Example 7.4.1: Rolling the Cylinder Over a Step

III: Applications of Mechanics

8.1.1: Pressure

8.1.2: Density

8.1.3: Compressibility

8.1.4: Viscosity and fluid flow

8.1.5: Properties Summary

8.1.6: Pressure and Confinement of Static Fluids

8.1.7: Pressure and Confinement of Static Fluids in Gravity

8.1.8: Variation of Pressure in Incompressible Fluids

Example 8.1.1: Barometers

Example 8.1.2: Variation of Oceanic Pressure with Depth

8.1.9: Variation of Pressure in Compressible Fluids

Example 8.1.3: Variation of Atmospheric Pressure with Height

Example 8.2.1: A Hydraulic Lift

8.3.1: Archimedes' Principle

Example 8.3.1: Testing the Crown I

Example 8.3.2: Testing the Crown II

8.4.1: Conservation of Flow

8.4.2: Work-Mechanical Energy in Fluids: Bernoulli's Equation

Example 8.4.1: Emptying the Iced Tea

Example 8.4.2: Flow Between Two Tanks

8.4.3: Fluid Viscosity and Resistance

8.4.4: A Brief Note on Turbulence

Example 8.5.1: Atherosclerotic Plaque Partially Occludes a Blood Vessel

Example 8.5.2: Aneurisms

Example 8.5.3: The Giraffe

9.1.1: The Archetypical Simple Harmonic Oscillator: A Mass on a Spring

9.1.2: The Simple Harmonic Oscillator Solution

9.1.3: Plotting the Solution: Relations Involving

9.1.4: The Energy of a Mass on a Spring

9.2.1: The Physical Pendulum

9.3.1: Properties of the Damped Oscillator

Example 9.3.1: Car Shock Absorbers

9.4.1: Harmonic Driving Forces

9.4.2: Solution to Damped, Driven, Simple Harmonic Oscillator

9.5.1: Simple Models for Molecular Bonds

9.5.2: The Force Constant

9.5.3: A Microscopic Picture of a Solid

9.5.4: Shear Forces and the Shear Modulus

9.5.5: Deformation and Fracture

Example 9.6.1: Scaling of Bones with Animal Size

10.3.1: An Important Property of Waves: Superposition

10.3.2: Arbitrary Waveforms Propagating to the Left or Right

10.3.3: Harmonic Waveforms Propagating to the Left or Right

10.3.4: Stationary Waves

11.3.1: Sound Displacement and Intensity In Terms of Pressure

11.3.2: Sound Pressure and Decibels

11.4.1: Moving Source

11.4.2: Moving Receiver

11.4.3: Moving Source and Moving Receiver

11.5.1: Pipe Closed at Both Ends

11.5.2: Pipe Closed at One End

11.5.3: Pipe Open at Both Ends

12.2.1: Ellipses and Conic Sections

12.4.1: Spheres, Shells, General Mass Distributions

Example 12.7.1: How to Cause an Extinction Event