| Preface |
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xvii | |
| Introduction: The MLQ-(ST)C Paradigm |
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1 | (14) |
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I.1 The Deductive Study of Specific Physical Reality Based on Known Physical Theory |
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1 | (2) |
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I.2 The Thinking Paradigm for Implementing "the Deductive Study of Specific Physical Reality Based on Known Physical Theory" |
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3 | (12) |
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I.2.1 The Thinking Objects Involved in the Implementation of "the Deductive Study of Specific Physical Reality Based on Known Physical Theory" |
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3 | (1) |
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4 | (11) |
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15 | (98) |
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1.1 Particle Motion and Rigid Body Motion |
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15 | (61) |
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1.1.1 The Round-Trip Motion of an Airplane in the Wind (d, A) |
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16 | (4) |
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1.1.2 The Crawling of a Caterpillar on an Elastic Rope (a, A) |
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20 | (4) |
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1.1.3 Intercepting a Bomb (d, C] |
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24 | (6) |
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1.1.4 Fountain Spraying Model (d, C) |
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30 | (3) |
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1.1.5 Noncoplanar Maneuver Model (d, C) |
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33 | (4) |
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1.1.6 Determining the Speed of Light by Observing the Motion of Jupiter's Moon (b, A) |
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37 | (5) |
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1.1.7 The Landing of a Rotating Homogeneous Rod (a, A) |
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42 | (7) |
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1.1.8 The Reflection of a Beam of Light by a Variable Angular Velocity Rotating Plane Mirror (a, A) |
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49 | (8) |
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1.1.9 Rolling Curve (d, C) |
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57 | (7) |
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1.1.10 The Regular Precession of a Ring (d, A) |
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64 | (2) |
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1.1.11 Cylinder-String-Ball Model 1 (d, C) |
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66 | (5) |
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1.1.12 Cylinder-String-Ball Model 2 (a, A) |
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71 | (5) |
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76 | (22) |
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1.2.1 Collinear and Equal Speed Chasing (d, B) |
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76 | (3) |
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1.2.2 N-Regular Polygon Chasing Game (A, ABC) |
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79 | (6) |
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1.2.3 Orientational and Constant Speed Chasing (d, C) |
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85 | (5) |
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1.2.4 Orientational and Fixed-Distance Chasing {a, A) |
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90 | (6) |
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1.2.5 The Motion of a Ship across a Flowing River to the Target Wharf on Opposite Bank (d, C) |
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96 | (2) |
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1.3 The Most Time-Saving Path Problem |
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98 | (15) |
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1.3.1 The Most Time-Saving Ship Chasing Path (d, C) |
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98 | (8) |
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1.3.2 Brachistochrone (d, C) |
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106 | (7) |
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113 | (338) |
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2.1 Simple Problems of Particle Dynamics |
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113 | (41) |
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2.1.1 The Motion of a Projectile under Damping Force 1 (d, C) |
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113 | (4) |
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2.1.2 The Motion of a Projectile under Damping Force 2 (d, C) |
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117 | (8) |
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2.1.3 The Conical Pendulum in Uniformly Variable Velocity Reference Frame (d, AE) |
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125 | (6) |
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2.1.4 The Smooth Connection of Segmented Motions of a Small Ball Which Is Constrained by a String (d, B) |
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131 | (5) |
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2.1.5 The Elliptic Pendulum Formed by a Small Ring Which is Sleeved on a Light Rigid String (a, A) |
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136 | (3) |
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2.1.6 The Equilibrium Problem of Two Small Balls Constrained Each Other by a Light Rigid String on a Rough Plane (d, c) |
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139 | (5) |
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2.1.7 The Quasi-Static Motion of a Small Charged Ball under Several Forces (d, AC) |
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144 | (5) |
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2.1.8 The Reciprocating Collisions of a Small Ball between Two Slowly Approaching Parallel Flat Boards (d, AM) |
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149 | (5) |
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2.2 Charged Particle in Electromagnetic Field |
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154 | (28) |
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2.2.1 The Motion of a Charged Particle in an Orthogonal Electromagnetic Field (b, C) |
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155 | (6) |
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2.2.2 The Charged Particle's Spiral Motion in a Gradual Magnetic Field and the Phenomenon of Magnetic Mirror (d, c) |
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161 | (5) |
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2.2.3 Magnetic Lens (d, C) |
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166 | (4) |
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2.2.4 The Magnetic Focusing Created by a Pair of Square Column Magnets (d, B) |
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170 | (6) |
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2.2.5 The Charged Particle's Motion Near an Infinitely Long Straight Current-Carrying Wire (a, A) |
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176 | (3) |
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2.2.6 The Charged Particle's Motion in the Cylindrical Symmetric Electrostatic Field and Axial Uniform Magnetic Field (c, B) |
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179 | (3) |
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2.3 Particle in Rotating Reference Frame |
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182 | (15) |
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2.3.1 The Target Practice on a Rotating Disk (d, C) |
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183 | (4) |
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2.3.2 The Motion of a Small Ring Sleeved on a Big Rotating Ring (d, C) |
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187 | (3) |
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2.3.3 The Free Fall Considering Coriolis Force (d, c) |
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190 | (3) |
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2.3.4 Foucault Pendulum (d, C) |
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193 | (4) |
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2.4 Simple Problems of Dynamics of System of Particles |
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197 | (56) |
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2.4.1 N People Jumping Off the Flatcar (c, C) |
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198 | (4) |
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2.4.2 Ellipse Pendulum Realized by the System Composed of Two Particles and a Light Rigid String (d, c) |
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202 | (4) |
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2.4.3 An Object Exploding into Three Parts (c, c) |
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206 | (3) |
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2.4.4 The Motion of a Small Ball along the Inner Wall of a Free, Homogeneous Ring (d, B) |
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209 | (7) |
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2.4.5 The Crawling of a Beetle on a Ring (a, A) |
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216 | (3) |
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2.4.6 The Motion of Water in a Cuboid Water Cup with Uniformly Variable Velocity (c, C) |
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219 | (3) |
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2.4.7 A Homogeneous Rope Sliding from a Horizontal Plane to a Slope (d, E) |
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222 | (5) |
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2.4.8 The Sliding or Rotating of a Special-Shaped Column (c, B) |
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227 | (7) |
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2.4.9 A Light Rigid Rope with Heavy Objects Hanging at Its Both Ends Entangling on a Rough Cylinder (d, C) |
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234 | (3) |
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2.4.10 An Elastic Catenary (b, A) |
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237 | (10) |
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2.4.11 A Homogeneous Elastic Rope Suspended at One Side (b, AC) |
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247 | (6) |
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2.5 Energy Conversion of Systems involving Electromagnetic Interaction |
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253 | (19) |
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2.5.1 The Conductor Wire Frame's Motion Passing through a Magnetic Field (b, AC) |
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253 | (7) |
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2.5.2 The Motion of a Pair of Conductor Rods on a Pair of Conductor Rails in a Magnetic Field (b, AC) |
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260 | (5) |
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2.5.3 The Motion of a Conductor Rod on a Pair of Inclined Smooth Conductor Rails Connected in Series by Specific Circuits in a Magnetic Field (d, E) |
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265 | (7) |
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2.6 Mutual Transformation of Mechanical Energy and Internal Energy |
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272 | (24) |
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2.6.1 The Proof of the Adiabatic Equation from the Micro Perspective (d, c) |
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273 | (3) |
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2.6.2 The Quasi-Static Motion of a Sealed Divider Plate in a Gas Filled Adiabatic Cylinder Container (a, A) |
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276 | (6) |
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2.6.3 The Repeated Collisions between an Adiabatic Container and Its Internal Ideal Gas (a, A) |
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282 | (4) |
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2.6.4 The Ideal Gas in a Rotating Cylindrical Adiabatic Container (a, A) |
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286 | (6) |
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2.6.5 Gas Passing through an Electric Resistance Wire Mesh in a Pipeline (c, B) |
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292 | (4) |
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296 | (21) |
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2.7.1 Dynamics of Variable Mass System (d, C) |
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296 | (3) |
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2.7.2 The Motion of Jet Rocket in Gravity Field (d, c) |
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299 | (1) |
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2.7.3 Pushing Sand Off a Flatcar (a, A) |
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300 | (3) |
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2.7.4 A Homogeneous Rope Whose Two Ends are Hung on the Ceiling, One End of Which is Released and Falls (A, AC) |
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303 | (5) |
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2.7.5 A Homogeneous Rope Falling through a Hole (M) |
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308 | (9) |
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2.7.6 The Falling of Raindrop (d, C) |
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311 | (6) |
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317 | (1) |
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3.1 The Fixed-Axis Rotation of Rigid Body |
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317 | (100) |
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3.1.1 The Rotating of a Homogeneous Rod around the Rough Edge of a Table (d, B) |
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318 | (4) |
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3.1.2 The Crawling of a Beetle Along a Rotating Homogeneous Rod (d, AC) |
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322 | (4) |
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3.1.3 The Most Easily Broken Point of a Rotating Homogeneous Rod (d, C) |
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326 | (5) |
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3.1.4 The Translation and Rotation of a Homogeneous Rod in the Process of Toppling toward the Ground (b, AC) |
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331 | (5) |
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3.1.5 The Motion of the System Composed of a Homogeneous Rod and a Charged Small Ring Sleeved on It in a Magnetic Field (d, C) |
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336 | (3) |
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3.1.6 Two Fingers Moving Alternately from Both Ends of a Rough Homogeneous Rod to the Middle of the Rod (d, c) |
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339 | (5) |
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3.1.7 A Ladder Placed in a Special Way between a Vertical Wall and a Horizontal Ground (a, A) |
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344 | (3) |
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3.1.8 The Stability of Equilibrium of a Homogeneous Square Column in Liquid (c, AC) |
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347 | (5) |
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3.1.9 The Motion of a Homogeneous Sphere on a Rough Inclined Plane (d, B) |
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352 | (5) |
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3.1.10 The Motion of a Homogeneous Sphere on a Rough Spherical Surface (d, C) |
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357 | (7) |
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3.1.11 The Collision between Two Homogeneous Spheres (c, B) |
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364 | (7) |
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3.1.12 The Motion of Two Homogeneous Wheels Connected with Each Other on a Rough Ground (d, C) |
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371 | (6) |
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3.1.13 The Constrained Motions of a Homogeneous Hollow Cylinder and a Small Ball (d, AC) |
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377 | (6) |
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3.1.14 One Cylinder Rolling over Another Cylinder without Relative Sliding (a, A) |
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383 | (7) |
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3.1.15 A Plank's Motion on Rollers Arranged on an Inclined Plane (d, AC) |
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390 | (4) |
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3.1.16 The Infinite Collisions between a Rotating Homogeneous Sphere and a Rough Ground (b, A) |
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394 | (8) |
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3.1.17 The Rolling of a Homogeneous Rigid Cylinder on a Soft Plane (c, C) |
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402 | (7) |
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3.1.18 The Rolling of a Uniformly Charged Ring in a Uniform Magnetic Field (c, B) |
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409 | (5) |
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3.1.19 The Stability Condition of the Mechanical Energy of Planet-Moon System (d, C) |
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414 | (3) |
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3.2 The Fixed-Point Rotation of Rigid Body |
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417 | (34) |
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3.2.1 The Fixed-Point Rotation of a Rotational Symmetric Rigid Body without External Torque (d, C) |
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417 | (8) |
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3.2.2 The Motion of a High-Speed Self-Rotation Gyro (c, B) |
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425 | (5) |
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3.2.3 The Regular Precession of a Homogeneous Thin Circular Disk (d, B) |
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430 | (5) |
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3.2.4 The Curvilinear Motion of a Billiard (b, B) |
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435 | (6) |
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3.2.5 The Pure Rolling of a Homogeneous Ball on a Turntable (d, c) |
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441 | (5) |
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3.2.6 The Pure Rolling of a Homogeneous Sphere on the Rough Inner Wall of a Cylinder (d, c) |
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446 | (5) |
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451 | (152) |
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4.1 Single-Degree of Freedom Vibration |
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451 | (85) |
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4.1.1 Simple Pendulum (d, C) |
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452 | (5) |
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4.1.2 The Motion of a Simple Pendulum Suspended on a Free Sliding Block (d, C) |
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457 | (3) |
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4.1.3 Cycloid Pendulum (d, AC) |
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460 | (4) |
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4.1.4 The Motion of a Spring Vibrator under Friction Resistance (c, B) |
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464 | (5) |
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4.1.5 The Tiny Expansion-Contraction Vibration of a Soap Bubble (a, A) |
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469 | (4) |
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4.1.6 The Tiny Vibration of Liquid in a Cuboid Container (d, C) |
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473 | (4) |
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4.1.7 The Tiny Vibration of Liquid in a Cylindrical Cup (a, A) |
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477 | (3) |
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4.1.8 The Motion of a conductor Ring over a Cylindrical Magnet (d, B) |
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480 | (5) |
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4.1.9 A Rotating Spring Vibrator (d, c) |
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485 | (3) |
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4.1.10 A Rotating Simple Pendulum (d, C) |
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488 | (6) |
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4.1.11 The Constrained Vibration of Two Particles Connected by a Light Rigid String (c, C) |
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494 | (3) |
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4.1.12 The Periodic Motion of a Small Ball on the Inner Wall of a Cone (a, A) |
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497 | (11) |
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4.1.13 The Tiny Rotational Vibration of a Homogeneous Rotational Ellipsoid on a Horizontal Plane (a, A) |
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508 | (5) |
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4.1.14 The Tiny Rotational Vibration of a Dumbbell-Shaped Artificial Satellite (d, C) |
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513 | (5) |
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4.1.15 The Pure Rolling Vibration of a Homogeneous Cylinder on the Inner Wall of a Freely Rotating Homogeneous Cylindrical shell (c, C) |
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518 | (3) |
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4.1.16 The Tiny Translational and Rotational Vibrations of an Electrified Ring above an Infinite Superconducting Plane (c, B) |
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521 | (5) |
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4.1.17 A Squirrel Running in a Cage (c, Q |
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526 | (4) |
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4.1.18 The Driving of a Car on a Hillside (c, C) |
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530 | (3) |
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4.1.19 A Spring Oscillator in a Liquid Storage Container Driven by an External Force (d, c) |
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533 | (3) |
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4.2 Multi-Degree of Freedom Vibration |
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536 | (33) |
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4.2.1 The Vibration of a Pair of conductor Rods on a Pair of Conductor Rails in a Magnetic Field (c, C) |
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537 | (3) |
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4.2.2 Coupled Spring Oscillator System 1 (d, C) |
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540 | (6) |
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4.2.3 Coupled Spring Oscillator System 2 (d, C) |
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546 | (3) |
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4.2.4 Coupled Simple Pendulum System 1 (d, C) |
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549 | (4) |
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4.2.5 Coupled Simple Pendulum System 2 (d, C) |
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553 | (5) |
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4.2.6 The Tiny Vibration of a Homogeneous Rod Hung by a Light Rigid String (d, C) |
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558 | (4) |
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4.2.7 Benzene Ring Model (c, c) |
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562 | (7) |
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4.3 The Vibration of Continuous System |
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569 | (34) |
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4.3.1 The Longitudinal Wave in a Homogeneous Isotropic Continuum and in a Light Springs-Balls System (d, C) |
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570 | (4) |
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4.3.2 Spring Vibrator Considering Spring Mass (c, C) |
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574 | (7) |
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4.3.3 The Transverse Wave in a Homogeneous String and in a Light Strings-Beads System (d, C) |
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581 | (4) |
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4.3.4 The Reflection and Transmission of a Transverse Wave at a Small Bead Strung on a Homogeneous String (c, C) |
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585 | (5) |
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4.3.5 The Reflection and Transmission of Sound Wave at Water Surface (d, C) |
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590 | (4) |
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4.3.6 Shallow Water Wave (d, C) |
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594 | (2) |
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4.3.7 Sound Velocity in the Air (d, C) |
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596 | (3) |
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4.3.8 The Propagation of Sound Wave in the Atmosphere with Temperature Gradient (c, c) |
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599 | (4) |
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603 | (114) |
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603 | (73) |
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5.1.1 Kepler Model (d, B) |
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604 | (11) |
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5.1.2 The Motion of Two Particles from Rest under the Universal Gravitation (d, AC) |
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615 | (6) |
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5.1.3 An Explosion in a Binary Star System (c, AC) |
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621 | (4) |
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5.1.4 The Stability of a Particle's Circular Orbit in a Conservative Central Force Field (d, C) |
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625 | (5) |
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5.1.5 The Precession of a Planetary Orbit in a Universal Gravitation Field (c, C) |
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630 | (4) |
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5.1.6 The Time a Comet Spent within the Range of the Earth Orbit (d, C) |
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634 | (5) |
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5.1.7 Tides Caused by the Moon and the Sun (d, C) |
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639 | (4) |
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5.1.8 Dual-Impulse Hohmann Transfer and Triple-Pulse Hohmann Transfer (d, c) |
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643 | (5) |
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5.1.9 The Docking of a Space Station with Its Launched Spacecraft (d, Q |
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648 | (3) |
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5.1.10 The Multiple Orbital Transfers of a Spacecraft (d, q) |
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651 | (7) |
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5.1.11 The Orbit Change of a Synchronous Satellite due to an Accidental Maneuver (c, c) |
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658 | (7) |
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5.1.12 Escaping from the Solar System via "Gravitation Slingshot" (c, c) |
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665 | (7) |
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5.1.13 Gravitational Capture (b, B) |
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672 | (4) |
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676 | (41) |
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5.2.1 Free Collision Model of Two Particles (d, B) |
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677 | (6) |
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5.2.2 The Collision between a Small Ball and an Inclined Plane That Can Slide Freely (b, A) |
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683 | (4) |
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5.2.3 The Repeated Collisions between a Box and an Object in the Box (b, A) |
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687 | (5) |
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5.2.4 Total Number of Collisions Occurred in a Double Blocks-Wall System (c, B) |
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692 | (8) |
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5.2.5 The Collision of Two Balls through a Light Rigid String (d, C) |
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700 | (4) |
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5.2.6 The Collisions between a Small Ball and the Inner Wall of a Free Homogeneous Ring (d, B) |
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704 | (5) |
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5.2.7 The Collision between Two Homogeneous Rods (c, C) |
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709 | (3) |
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5.2.8 The Collision between Two Homogeneous Disks (c, C) |
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712 | (5) |
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717 | (58) |
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717 | (29) |
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6.1.1 The Ideal Gas in a Rotating Device (c, c) |
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717 | (3) |
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6.1.2 The Liquid in a Rotating Glass (d, C) |
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720 | (5) |
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6.1.3 A Rotating Liquid Planet (d, C) |
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725 | (6) |
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6.1.4 A Soap Water Film between Two Rings (c, c) |
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731 | (3) |
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6.1.5 The Contraction Process of a Soap Bubble (a, A) |
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734 | (4) |
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6.1.6 The Rising of a Liquid along a Vertical Flat Plate (b, AC) |
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738 | (4) |
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6.1.7 The Quasi-Static Motion of an Inverted Bucket in Water (c, A) |
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742 | (4) |
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746 | (15) |
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6.2.1 The Flowing of the Liquid in a Tank Out of a Drain Hole/Drain Pipe (d, c) |
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746 | (4) |
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6.2.2 A Semi Cylindrical Hangar in Wind (d, c) |
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750 | (2) |
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6.2.3 The Flow of the Liquid Squeezed by a Pair of Coaxial Parallel Disks (d, C) |
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752 | (3) |
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6.2.4 Wind Turbine (d, C) |
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755 | (3) |
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6.2.5 The Fluid Force on the Wind Grids of an Axial-Flow Turbine (d, c) |
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758 | (3) |
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761 | (14) |
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6.3.1 Poiseuille Flow (d, c) |
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762 | (3) |
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6.3.2 An Oil Lamp without Wick (a, A) |
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765 | (2) |
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6.3.3 Measurement of Viscosity Coefficient of Gas by Means of Exhaust Device (M) |
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767 | (3) |
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6.3.4 Measurement of Viscosity Coefficient of Liquid by Means of Rotating Device (d, B) |
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|
770 | (5) |
| Index |
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775 | |
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