Table of Contents

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Section 1: Matter Exists in Space and Time
About Newton's Mechanics and Calculus ~ 1687
Section Advance:     2   3   4   5
1.00   Matter Exists in Space and Time 1
1.01   A Basic Methodology 2
♦   Prove: (A - B)² = A² - 2AB + B² 3
♦   Theorem of Pythagoras 4
♦   Eratosthanes' Experiment 5
♦   Drilling Rig Visibility 6
♦   Prove: ( -1 ) x ( -1 ) = 1 7
1.02   Position: the First Vector 8
♦   Pharaoh's Engineers 9
♦   Vectors Contain Trigonometry 10
♦   Crank, Rod and Piston 11
♦   Ladder-Boom Rescue 12
♦   Dog and Pony Show 13
1.03   Basic Terms and Tools 14
1.04   Models of Reality 15
1.05   Velocity: Our First Derivative 16
1.06   Mass Equation: BODY 17
1.07   Momentum: BODY 18
1.08   Derivative of Momentum: BODY 19
1.09   About:  f = ma 20
1.10   Uniform Motion 21
1.11   Constant Momentum Motion 22
♦   Valentino's Wake 23
♦   Dog Greets Owners 24
♦   Least Distance 1 25
♦   Least Distance 2 26
♦   Yacht and Sea Buoy 27
♦   Scissor Jack 28
♦   Train Passes Two Boys 29
♦   Civil War Memorial 30
1.12   Steps to Integrate 31
1.13   Measurement of μMEarth 32
1.14   Weight and Weighing 33
♦   Hand Supports a Mass 34
♦   Lunar "Carry-Off" Luggage 35
♦   Ten Pounds of Potatoes 36
1.15   Vectors: BODY 37
1.16   Notations: Position and Velocity 38
1.17   Value, Slope and Curvature 39
1.18   Differentiation: Time-Dependent Integral 40
♦   Blue Ocean Towing 41
1.19   Gravity at Altitudes 42
♦   Projectile Arcs 43
1.20   Events in Time 44
♦   Galileo's Inclined Plane 45
♦   Acceleration Initial Condition 46
1.21   Omitted Forces 47
♦   Parachutists Drag Force 48
♦   God Lifted Earth I 49
♦   God Lifted Earth II 50
♦   Point Blank 51
♦   Shot Tower 52
1.22   Momentum Equation: BODY 53
1.23   Mom Eqn Component Form: BODY 54
♦   Geostationary Orbits 55
1.24   Vector Basis: Circular Motion 56
♦   Polar versus Equatorial Weight 57
♦   Lift-Off Acceleration 58
1.25   Method, System and Numbers 59
1.26   Newton's Analytic Method 60
♦   Sled Mass 61
♦   Kinematics of Bar AB 62
♦   Quick Return Mechanism 63

 

Section 2: Ideal Fluids
About Fluids, Pressure and Hydrostatics
Section Advance:  1      3   4   5
2.00   Ideal Fluid 64
2.01   Mass, Volume and Density 65
♦   LNG Tanker 66
♦   Sphere, Tank, and Water 67
♦   Torricelli's Barometer 68
2.02   Standard Atmosphere 69
2.03   Hydrostatic Equation 70
2.04   Hydrostatic Solutions 71
♦   Pascal's Experiment 72
♦   Density of Fluid "A" 73
♦   Air, Oil, Cable Support Rod 74
♦   Water Barometer 75
♦   Piezometer 76
♦   Manometer and Bourdon Gages 77
2.05   Classical Piston and Cylinder 78
2.06   Pressure in a Jet 79
2.07   Pressure Terminology 80
♦   Pressure Calculations 81
♦   Pressure of the Void 82
♦   Cave Diver 83
♦   Hurricane Wilma 84
♦   Wilma's Surge 85
♦   Off-Shore Natural Gas 86
♦   U-tube 87
♦   Bubble-Tube Depth Gage 88
♦   Monster Tires 89
♦   Floating Buoyancy 90
♦   Volume of a Sculpture 91
♦   Arctic Shelf Ice 92
2.08   Ideal Gas and its Temperature 93
♦   Using the Ideal Gas Equation 94
♦   Majic Fountain 95
♦   Casting Rail Wheels 96
♦   Professor Foghorn's Gage 97
♦   Abandoned Car 98
♦   First Equestrian Ascent 99
♦   Otto Von Guericke 100
♦   Victor Regnault 101
♦   Roof-Top Exit 102
♦   Two Tanks 103
♦   Ocean of Air 104
♦   Hand Lotion Event 105
2.09   Gas Equation Validity 106
♦   Fuel Cell Mass Proportions 107
♦   Nuclear Waste 108
♦   Concrete Mixture 109

 

Section 3: Energy, Work, and Heat
Extension of Newton's Ideas: Energy, Work and Heat
Section Advance:  1   2      4   5
3.00   Engineering Thermodynamics 110
3.01   Work: BODY 111
3.02   Mechanical Energy Equation 112
♦   Bilge Pump Work 113
♦   Buoy Lift I 114
♦   Buoy Lift II 115
♦   Champagne Cork Velocity 116
♦   Slap Shot 117
♦   Kids Clean the Garage 118
♦   Tank with a Movable Wall 119
♦   Harpy's Nest 120
3.03   Work Considerations 121
♦   Back Squat 122
♦   Rock Climb 123
♦   Work to Draw the Castle Bridge 124
♦   Elephant Weighs Teak 125
♦   Polaris Scale Model 126
♦   Choice of Worker: "A" or "B" ? 127
♦   Pushing a Crate Uphill 128
♦   Boy in a Wheelchair 129
♦   Egg-Drop Challenge 130
♦   Planet Gizmo 131
3.04   Work as "on" or "by" 132
♦   Optimized Work 133
♦   Drunk Driving Awareness 134
♦   Wreck at Batavia 135
♦   Rock Falls onto a Spring 136
3.05   System: Selection and Isolation 137
3.06   Forklift Events 138
3.07   Energy Equation: BODY 139
3.08   Internal Energy 140
3.09   Compression Work 141
3.10   Energy: SUBSTANCE 142
♦   Batch Mix Event 143
3.11   Constant Pressure Events: IG 144
3.12   Frictionless Adiabatic Process: IG 145
3.13   About Enthalpy 146
3.14   Constant Volume IG 147
3.15   About Entropy 148
♦   Blowgun Hunter 149
♦   Skateboard Skill 150
♦   Newman's Annihilator 151
♦   Kids on a Swing 152
♦   SCUBA Horsepower 153
♦   What is cos(θ + 60°)? 154
3.16   About Heat 155
♦   Hot, Heat, Cold... etc 156
3.17   Heat and Work Sign Conventions 157
3.18   Energy Equation I: SUBSTANCE 158
3.19   Energy Equation II: SUBSTANCE 159
3.20   Polytropic Processes: IG 160
3.21   Events of Ideal Gases 161
3.22   Rotational Kinetic Energy 162
♦   Air Pistol 163
♦   Air/Water Mortar 164
♦   Linear Elastic Work 165
♦   Tank, Spring and Heater 166
♦   Candle Beneath a Piston 167
♦   Average Force to Brake 168
3.23   Mean Value Theorem 169
♦   Vacuum Launched Rocket 170
♦   Hot Shot 171
3.24   Simple Springs 172
♦   Bungee Jumper 173
♦   Box moves between Two Springs 174
♦   Washer Switch 175
3.25   Complex Substances 176
3.26   Energy Rates and Power 177
♦   Elevator Speed 178
♦   Gravity Work-Rate 179
3.27   Shaft Work 180
♦   Ship's Reduction Gear 181
♦   Horsepower of an Ox 182
♦   Truck Least Horsepower 183
♦   Tank Locomotion   UNDER REVISION 184
♦   Cyclist Power   UNDER REVISION 185
♦   Car Drives Uphill 186
♦   18-Wheeler Safe Braking Speed 187
♦   Atwood's Machine 188
♦   Deadweight Compactors 189
♦   Pulling Sheet Piles 190

 

Section 4: Thermodynamic Properties
Matter is Made Quantitative by its Properties
Section Advance:  1   2   3     5
4.00   Thermodynamic Properties 191
4.01   Phases at 1 Atmosphere 192
4.02   Normal Properties of Water 193
4.03   Energy Equation: Constant Pressure 194
♦   Chef Thickens the Soup 195
♦   When will the Teapot Whistle? 196
♦   Water at One Atmosphere 197
♦   Citrus Concentrate 198
♦   Microwave Coffee 199
♦   Grease Fire Experiment 200
4.04   Steam Tables 201
♦   Yardley's Extractor 202
♦   Stone Boiling 203
♦   Atmospheric Engine 204
♦   Pressure Cooker 205
♦   Emergency Power MS 206
♦   Neon Signage 207
♦   Leaded Pipe Joint 208
♦   Specific Heat Calculation 209
♦   Space Shuttle Re-entry 210
♦   Copper Block Slides on Ice 211
♦   Sausage Preparation 212
♦   Ice versus Dry Ice Comparison 213
♦   1861 - Rifle Musket 214
♦   Laser Retina Surgery 215

 

Section 5: Thermodynamic Analysis
Analysis Explains or Predicts Simple Events
Section Advance:  1   2   3   4
5.00   Thermodynamic Analysis 216
5.01   Mass Equation 217
♦   Trans Alaska Pipeline 218
5.02   System Perspectives 219
♦   Dig Suez 220
♦   Linear Valve 221
5.03   Leibnitz's Calculus 222
5.04   Linear Mass Equation 223
♦   Pipe Pig 224
♦   Boost Pump 225
♦   Freeze-Dried Rattlesnakes 226
♦   Civil Rights Memorial 227
♦   Flow Through an Expansion 228
♦   Depth of Wine 229
♦   Extruded Rod 230
5.05   Momentum Equation 231
♦   Reaction of a Jet 232
♦   Jet-Ski - Static Pull 233
♦   Time to Refill the Pool 234
♦   Pitot-Static Gage 235
♦   Where Water Jets Collide 236
♦   P-51 Mustang 237
5.06   Energy Equation 238
♦   Water Seeks its Level 239
♦   Gear Pump 240
♦   Aquarium Turbines 241
♦   Not a "COOL IDEA" 242
♦   Shipping Maeku 243
♦   Instant Hot Water 244
♦   Pipe Line Flow 245
♦   Torricelli's Theorem 246
♦   Scraped-Surface Heat Exchanger 247
♦   Cardiac Horsepower 248
♦   Heat Powered Elevator 249
♦   Niagara Falls Power 250
♦   Tomato Juice 251
♦   ZULIA - Side Casting Dredge 252
♦   Water Pumped Vertically 253
♦   Light Bulb Efficiency 254
♦   Ideal Gas Elevator 255