Cover
Half Title
Title Page
Copyright Page
Table of Contents
Preface
Introduction: The MLQ-(ST)C Paradigm
I.1: The Deductive Study of Specific Physical Reality Based on Known Physical Theory
I.2: The Thinking Paradigm for Implementing “the Deductive Study of Specific Physical Reality Based on Known Physical Theory”
I.2.1: The Thinking Objects Involved in the Implementation of “the Deductive Study of Specific Physical Reality Based on Known Physical Theory”
I.2.2: MLQ-(ST)C Paradigm
Chapter 1: Kinematics
1.1: Particle Motion and Rigid Body Motion
1.1.1: The Round-Trip Motion of an Airplane in the Wind (d, A)
1.1.2: The Crawling of a Caterpillar on an Elastic Rope (a, A)
1.1.3: Intercepting a Bomb (d, C)
1.1.4: Fountain Spraying Model (d, C)
1.1.5: Noncoplanar Maneuver Model (d, C)
1.1.6: Determining the Speed of Light by Observing the Motion of Jupiter’s Moon (b, A)
1.1.7: The Landing of a Rotating Homogeneous Rod (a, A)
1.1.8: The Reflection of a Beam of Light by a Variable Angular Velocity Rotating Plane Mirror (a, A)
1.1.9: Rolling Curve (d, C)
1.1.10: The Regular Precession of a Ring (d, A)
1.1.11: Cylinder-String-Ball Model 1 (d, C)
1.1.12: Cylinder-String-Ball Model 2 (a, A)
1.2: Chase Motion
1.2.1: Collinear and Equal Speed Chasing (d, B)
1.2.2: N-Regular Polygon Chasing Game (d, ABC)
1.2.3: Orientational and Constant Speed Chasing (d, C)
1.2.4: Orientational and Fixed-Distance Chasing (a, A)
1.2.5: The Motion of a Ship across a Flowing River to the Target Wharf on Opposite Bank (d, C)
1.3: The Most Time-Saving Path Problem
1.3.1: The Most Time-Saving Ship Chasing Path (d, C)
1.3.2: Brachistochrone (d, C)
Chapter 2: Dynamics
2.1: Simple Problems of Particle Dynamics
2.1.1: The Motion of a Projectile under Damping Force 1 (d, C)
2.1.2: The Motion of a Projectile under Damping Force 2 (d, C)
2.1.3: The Conical Pendulum in Uniformly Variable Velocity Reference Frame (d, AB)
2.1.4: The Smooth Connection of Segmented Motions of a Small Ball Which Is Constrained by a String (d, B)
2.1.5: The Elliptic Pendulum Formed by a Small Ring Which is Sleeved on a Light Rigid String (a, A)
2.1.6: The Equilibrium Problem of Two Small Balls Constrained Each Other by a Light Rigid String on a Rough Plane (d, C)
2.1.7: The Quasi-Static Motion of a Small Charged Ball under Several Forces (c, AC)
2.1.8: The Reciprocating Collisions of a Small Ball between Two Slowly Approaching Parallel Flat Boards (d, AB)
2.2: Charged Particle in Electromagnetic Field
2.2.1: The Motion of a Charged Particle in an Orthogonal Electromagnetic Field (b, C)
2.2.2: The Charged Particle’s Spiral Motion in a Gradual Magnetic Field and the Phenomenon of Magnetic Mirror (d, C)
2.2.3: Magnetic Lens (d, C)
2.2.4: The Magnetic Focusing Created by a Pair of Square Column Magnets (d, B)
2.2.5: The Charged Particle’s Motion Near an Infinitely Long Straight Current-Carrying Wire (a, A)
2.2.6: The Charged Particle’s Motion in the Cylindrical Symmetric Electrostatic Field and Axial Uniform Magnetic Field (c, B)
2.3: Particle in Rotating Reference Frame
2.3.1: The Target Practice on a Rotating Disk (d, C)
2.3.2: The Motion of a Small Ring Sleeved on a Big Rotating Ring (d, C)
2.3.3: The Free Fall Considering Coriolis Force (d, C)
2.3.4: Foucault Pendulum (d, C)
2.4: Simple Problems of Dynamics of System of Particles
2.4.1: N People Jumping Off the Flatcar (c, C)
2.4.2: Ellipse Pendulum Realized by the System Composed of Two Particles and a Light Rigid String (d, C)
2.4.3: An Object Exploding into Three Parts (c, C)
2.4.4: The Motion of a Small Ball along the Inner Wall of a Free, Homogeneous Ring (d, B)
2.4.5: The Crawling of a Beetle on a Ring (a, A)
2.4.6: The Motion of Water in a Cuboid Water Cup with Uniformly Variable Velocity (d, C)
2.4.7: A Homogeneous Rope Sliding from a Horizontal Plane to a Slope (d, B)
2.4.8: The Sliding or Rotating of a Special-Shaped Column (c, B)
2.4.9: A Light Rigid Rope with Heavy Objects Hanging at Its Both Ends Entangling on a Rough Cylinder (d, C)
2.4.10: An Elastic Catenary (b, A)
2.4.11: A Homogeneous Elastic Rope Suspended at One Side (b, AC)
2.5: Energy Conversion of Systems involving Electromagnetic Interaction
2.5.1: The Conductor Wire Frame’s Motion Passing through a Magnetic Field (b, AC)
2.5.2: The Motion of a Pair of Conductor Rods on a Pair of Conductor Rails in a Magnetic Field (b, AC)
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, B)
2.6: Mutual Transformation of Mechanical Energy and Internal Energy
2.6.1: The Proof of the Adiabatic Equation from the Micro Perspective (d, C)
2.6.2: The Quasi-Static Motion of a Sealed Divider Plate in a Gas Filled Adiabatic Cylinder Container (a, A)
2.6.3: The Repeated Collisions between an Adiabatic Container and Its Internal Ideal Gas (a, A)
2.6.4: The Ideal Gas in a Rotating Cylindrical Adiabatic Container (a, A)
2.6.5: Gas Passing through an Electric Resistance Wire Mesh in a Pipeline (c, B)
2.7: Variable Mass System
2.7.1: Dynamics of Variable Mass System (d, C)
2.7.2: The Motion of Jet Rocket in Gravity Field (d, C)
2.7.3: Pushing Sand Off a Flatcar (a, A)
2.7.4: A Homogeneous Rope Whose Two Ends are Hung on the Ceiling, One End of Which is Released and Falls (d, AC)
2.7.5: A Homogeneous Rope Falling through a Hole (b, A)
2.7.6: The Falling of Raindrop (d, C)
Chapter 3: Rigid Body
3.1: The Fixed-Axis Rotation of Rigid Body
3.1.1: The Rotating of a Homogeneous Rod around the Rough Edge of a Table (d, B)
3.1.2: The Crawling of a Beetle Along a Rotating Homogeneous Rod (d, AC)
3.1.3: The Most Easily Broken Point of a Rotating Homogeneous Rod (d, C)
3.1.4: The Translation and Rotation of a Homogeneous Rod in the Process of Toppling toward the Ground (b, AC)
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)
3.1.6: Two Fingers Moving Alternately from Both Ends of a Rough Homogeneous Rod to the Middle of the Rod (d, C)
3.1.7: A Ladder Placed in a Special Way between a Vertical Wall and a Horizontal Ground (a, A)
3.1.8: The Stability of Equilibrium of a Homogeneous Square Column in Liquid (c, AC)
3.1.9: The Motion of a Homogeneous Sphere on a Rough Inclined Plane (d, B)
3.1.10: The Motion of a Homogeneous Sphere on a Rough Spherical Surface (d, C)
3.1.11: The Collision between Two Homogeneous Spheres (c, B)
3.1.12: The Motion of Two Homogeneous Wheels Connected with Each Other on a Rough Ground (d, C)
3.1.13: The Constrained Motions of a Homogeneous Hollow Cylinder and a Small Ball (d, AC)
3.1.14: One Cylinder Rolling over Another Cylinder without Relative Sliding (a, A)
3.1.15: A Plank’s Motion on Rollers Arranged on an Inclined Plane (d, AC)
3.1.16: The Infinite Collisions between a Rotating Homogeneous Sphere and a Rough Ground (b, A)
3.1.17: The Rolling of a Homogeneous Rigid Cylinder on a Soft Plane (c, C)
3.1.18: The Rolling of a Uniformly Charged Ring in a Uniform Magnetic Field (c, B)
3.1.19: The Stability Condition of the Mechanical Energy of Planet-Moon System (d, C)
3.2: The Fixed-Point Rotation of Rigid Body
3.2.1: The Fixed-Point Rotation of a Rotational Symmetric Rigid Body without External Torque (d, C)
3.2.2: The Motion of a High-Speed Self-Rotation Gyro (c, B)
3.2.3: The Regular Precession of a Homogeneous Thin Circular Disk (d, B)
3.2.4: The Curvilinear Motion of a Billiard (b, B)
3.2.5: The Pure Rolling of a Homogeneous Ball on a Turntable (d, C)
3.2.6: The Pure Rolling of a Homogeneous Sphere on the Rough Inner Wall of a Cylinder (d, C)
Chapter 4: Vibration
4.1: Single-Degree of Freedom Vibration
4.1.1: Simple Pendulum (d, C)
4.1.2: The Motion of a Simple Pendulum Suspended on a Free Sliding Block (d, C)
4.1.3: Cycloid Pendulum (d, AC)
4.1.4: The Motion of a Spring Vibrator under Friction Resistance (c, B)
4.1.5: The Tiny Expansion-Contraction Vibration of a Soap Bubble (a, A)
4.1.6: The Tiny Vibration of Liquid in a Cuboid Container (d, C)
4.1.7: The Tiny Vibration of Liquid in a Cylindrical Cup (a, A)
4.1.8: The Motion of a conductor Ring over a Cylindrical Magnet (d, B)
4.1.9: A Rotating Spring Vibrator (d, C)
4.1.10: A Rotating Simple Pendulum (d, C)
4.1.11: The Constrained Vibration of Two Particles Connected by a Light Rigid String (c, C)
4.1.12: The Periodic Motion of a Small Ball on the Inner Wall of a Cone (a, A)
4.1.13: The Tiny Rotational Vibration of a Homogeneous Rotational Ellipsoid on a Horizontal Plane (a, A)
4.1.14: The Tiny Rotational Vibration of a Dumbbell-Shaped Artificial Satellite (d, C)
4.1.15: The Pure Rolling Vibration of a Homogeneous Cylinder on the Inner Wall of a Freely Rotating Homogeneous Cylindrical shell (c, C)
4.1.16: The Tiny Translational and Rotational Vibrations of an Electrified Ring above an Infinite Superconducting Plane (c, B)
4.1.17: A Squirrel Running in a Cage (c, C)
4.1.18: The Driving of a Car on a Hillside (c, C)
4.1.19: A Spring Oscillator in a Liquid Storage Container Driven by an External Force (d, C)
4.2: Multi-Degree of Freedom Vibration
4.2.1: The Vibration of a Pair of conductor Rods on a Pair of Conductor Rails in a Magnetic Field (c, C)
4.2.2: Coupled Spring Oscillator System 1 (d, C)
4.2.3: Coupled Spring Oscillator System 2 (d, C)
4.2.4: Coupled Simple Pendulum System 1 (d, C)
4.2.5: Coupled Simple Pendulum System 2 (d, C)
4.2.6: The Tiny Vibration of a Homogeneous Rod Hung by a Light Rigid String (d, C)
4.2.7: Benzene Ring Model (c, C)
4.3: The Vibration of Continuous System
4.3.1: The Longitudinal Wave in a Homogeneous Isotropic Continuum and in a Light Springs-Balls System (d, C)
4.3.2: Spring Vibrator Considering Spring Mass (c, C)
4.3.3: The Transverse Wave in a Homogeneous String and in a Light Strings-Beads System (d, C)
4.3.4: The Reflection and Transmission of a Transverse Wave at a Small Bead Strung on a Homogeneous String (c, C)
4.3.5: The Reflection and Transmission of Sound Wave at Water Surface (d, C)
4.3.6: Shallow Water Wave (d, C)
4.3.7: Sound Velocity in the Air (d, C)
4.3.8: The Propagation of Sound Wave in the Atmosphere with Temperature Gradient (c, C)
Chapter 5: Two-Body Model
5.1: Central Force Field
5.1.1: Kepler Model (d, B)
5.1.2: The Motion of Two Particles from Rest under the Universal Gravitation (d, AC)
5.1.3: An Explosion in a Binary Star System (c, AC)
5.1.4: The Stability of a Particle’s Circular Orbit in a Conservative Central Force Field (d, C)
5.1.5: The Precession of a Planetary Orbit in a Universal Gravitation Field (c, C)
5.1.6: The Time a Comet Spent within the Range of the Earth Orbit (d, C)
5.1.7: Tides Caused by the Moon and the Sun (d, C)
5.1.8: Dual-Impulse Hohmann Transfer and Triple-Pulse Hohmann Transfer (d, C)
5.1.9: The Docking of a Space Station with Its Launched Spacecraft (d, C)
5.1.10: The Multiple Orbital Transfers of a Spacecraft (d, C)
5.1.11: The Orbit Change of a Synchronous Satellite due to an Accidental Maneuver (c, C)
5.1.12: Escaping from the Solar System via “Gravitation Slingshot” (c, C)
5.1.13: Gravitational Capture (b, B)
5.2: Collision
5.2.1: Free Collision Model of Two Particles (d, B)
5.2.2: The Collision between a Small Ball and an Inclined Plane That Can Slide Freely (b, A)
5.2.3: The Repeated Collisions between a Box and an Object in the Box (b, A)
5.2.4: Total Number of Collisions Occurred in a Double Blocks-Wall System (c, B)
5.2.5: The Collision of Two Balls through a Light Rigid String (d, C)
5.2.6: The Collisions between a Small Ball and the Inner Wall of a Free Homogeneous Ring (d, B)
5.2.7: The Collision between Two Homogeneous Rods (c, C)
5.2.8: The Collision between Two Homogeneous Disks (c, C)
Chapter 6: Fluid
6.1: Hydrostatics
6.1.1: The Ideal Gas in a Rotating Device (c, C)
6.1.2: The Liquid in a Rotating Glass (d, C)
6.1.3: A Rotating Liquid Planet (d, C)
6.1.4: A Soap Water Film between Two Rings (c, C)
6.1.5: The Contraction Process of a Soap Bubble (a, A)
6.1.6: The Rising of a Liquid along a Vertical Flat Plate (b, AC)
6.1.7: The Quasi-Static Motion of an Inverted Bucket in Water (c, A)
6.2: Ideal Fluid
6.2.1: The Flowing of the Liquid in a Tank Out of a Drain Hole/Drain Pipe (d, C)
6.2.2: A Semi Cylindrical Hangar in Wind (d, C)
6.2.3: The Flow of the Liquid Squeezed by a Pair of Coaxial Parallel Disks (d, C)
6.2.4: Wind Turbine (d, C)
6.2.5: The Fluid Force on the Wind Grids of an Axial-Flow Turbine (d, C)
6.3: Viscous Fluid
6.3.1: Poiseuille Flow (d, C)
6.3.2: An Oil Lamp without Wick (a, A)
6.3.3: Measurement of Viscosity Coefficient of Gas by Means of Exhaust Device (b, A)
6.3.4: Measurement of Viscosity Coefficient of Liquid by Means of Rotating Device (d, B)
Index
