| PROBLEM # |
TITLE |
| 1. Invent Yourself: Paper Boomerang |
1-1. (Basic) Wikipedia: Boomerang, Euler angles, Euler rotation |
| 1-2. (Basic) Why do boomerangs come back? |
| 1-3. (Basic)（最完整）Flight dynamics of boomerangs |
| 1-4. (Basic) Straight boomerang of balsa wood and its physics |
1-5. (Advanced)Theory of Dynamic Interactions: The Flight of the Boomerang II
|
| 2. Air Muscle |
2-1. (Basic) A Review on the Development of Pneumatic Artificial Muscle Actuators: Force Model and Application |
| 2-2. (Basic) A Survey on Applications of Pneumatic Artificial Muscles |
| 3. Lato Lato |
3-1. (Basic) The dynamics of Lato Lato ball collisions（動量守恆的碰撞公式） |
| 3-2. (Basic) Determine g using Lato Lato |
| 3-3. (Basic) Demonstration of conservation of momentum using Lato Lato 2.0 |
| 3-4. Two-ball Newton’s cradle |
| 3-5. Newton’s Cradle with Two Balls |
| 3-6. (Advanced) Force-versus-time curves during collisions between two identical steel balls |
| 3-7. (Advanced) Playing lato–lato is difficult and this is why |
| 4. Climbing Magnets |
4-1. 老師對#4的研究重點提示 |
| 4-2.(Basic) Stick–slip phenomenon |
| 4-3.(Basic) A historical review on dry friction and stick-slip phenomena |
| 4-4.(Advanced) Friction-induced vibration, chatter, squeal, and chaos Part II: Dynamics and Modeling |
| 4-5 (Advanced) Friction-induced vibration, chatter, squeal, and chaos Part I: Mechanics of contact and friction |
| 5. Dancing Slinky |
5-1.(Basic) The kinematics and static equilibria of a Slinky |
| 5-2.(Basic) Oscillations of a suspended slinky |
| 5-3. (Basic)Wikipedia: Torsion spring/ Torsion/ Slinky |
| 5-4. Lagrange’s method applied to a Slinky |
| 5-5. A universal relationship between spring constant and torsion constant |
| 6. Dripping Faucet |
6-1. (Basic) The dripping faucet revisited. |
6-2. (Basic) Behavior of the dripping faucet over a wide range of the flow rate
|
| 6-3. Chaotic Rhythms of a Dripping Faucet: A simple drop detector transforms the computer into a temporal microscope, revealing a variety of rhythms in the common leaky tap. |
| 6-4. Wikipedia: Chaos theory |
| 6-5. Dripping faucet. |
| 6-6. Asymmetrical dripping |
| 6-7. Hydrodynamical models for the chaotic dripping faucet |
| 6-8. Return map for the chaotic dripping faucet. |
6-9. (Advanced) Simulation of a dripping faucet
|
| 7. Ruler Cannon |
7-1. (Basic) A Simplified Dynamic Model for Constant-Force Compression Spring |
| 7-2. Basic concept 1 |
| 7-3. Mechanical Properties |
| 7-4. (Advanced) Physics of solids under strong compression |
| 9. Magnetic Assist |
9-1. (Basic) Wikipedia: Neodymium magnet |
| 9-2. (Basic) Wikipedia: Force between magnets |
| 9-3. (Basic) Chaos in the Magnetic Pendulum |
| 9-4. The magnetic pendulum |
| 9-5. An Analytic Solution for the Force Between Two Magnetic Dipoles |
| 11. Spring Hysteresis |
11-1.(Basic) Hysteresis in a simple V-shaped spring-mass system |
| 11-2.(Basic) Perfect and imperfect pitchfork bifurcations in a V-shaped spring-mass system: Comment on “Hysteresis in a simple V-shaped spring-mass system” |
| 11-3. (Basic) Spring-Mass Hysteresis simulation |
| 11-4. (Advanced) Bifurcation, stability, and critical slowing down in a simple mass–spring system |
| 13. Spaghetti Accelerator |
13-1. (Basic) PASTA PUZZLE |
| 13-2. (Basic) Linear spaghetti |
| 13-3. The dynamics of linear spaghetti structures — how one thing just leads to another |
| 13-4. Controlling fracture cascades through twisting and quenching |
| 13-5. (Advanced) Dynamic Buckling and Fragmentation in Brittle Rods |
| 13-6. (Advanced) Fragmentation of Rods by Cascading Cracks: Why Spaghetti Does Not Break in Half |
| 13-7. (Advanced) Supporting material of “Controlling fracture cascades through twisting and quenching” |
| 14. Water Bottle Rocket |
14-1. (Basic) Hydrodynamics of a Water Rocket |
| 14-2. (Basic) Analysis of a water-propelled rocket: A problem in honors physics |
14-3. (Basic) Analysis of a water-propelled rocket
|
| 15. Wailing Bowl |
15-1. 老師對#15的研究重點提示
|
| 15-2. (Basic) Wine glasses, bell modes, and Lord Rayleigh |
| 15-3. Video demonstration |
| 15-4. Why does water change the pitch of a singing wineglass the way it does? |
| 15-5. Vibrational modes of partly filled wine glasses |
