| Course title | |||||
| 力学Ⅱ [MechanicsⅡ] | |||||
| Course category | technology speciality courses,ets. | Requirement | Credit | 2 | |
| Department | Year | 2～4 | Semester | 1st | |
| Course type | 1st | Course code | 022204 | ||
| Instructor(s) | |||||
| 宮嵜 武 [MIYAZAKI Takeshi] | |||||
| Facility affiliation | Graduate School of Engineering | Office | Email address | ||
| Course description |
| The motion of multi-particle systems and rigid body isexplained. Nomal modes of small oscillations and translational-rotational motions of rigid body are described in detail, in order to understand both complex mechanical phenomena and molecular motions. The formulation of analytical mechanics is briefly visited. |
| Expected Learning |
| The students are required to write down the equations of motion for dynamical problems concerning multi-particle systems and rigid body, and also they are required to provide general and specific solutions satisfying initial conditions. They should understand the nomal modes of small oscillations as well as the translation and rotation of a rigid body. |
| Course schedule |
|
1. Inertial coordinats and accelerated coordinates I: Galileian invariance, Inertial force. 2. Inertial coordinats and accelerated coordinates II: Rotating coordinates, Pendulum of Foucault, Coriolis force. 3. Multi-particle systems I: Center of mass, relative motion, Collision. 4. Multi-particle systems II: Normal modes of small oscillations, Eigenvalues and Eigenvectors. 5. Multi-particle systems III: Forced oscillations, Resonance. 6. Multi-particle systems IV: Summary. 7. Rigid body I: Statics, Torque. 8. Rigid body II: Rotaional motion, Angular velocity, Moment of inertia, Angular momentum, Kinetic energy. 9. Rigid boby III: Translational and rotational motions, Sweetspot, Pendulum. 10. Rigid body IV: Inertial tensor, Principal axes of inertia, Euler's top, Theorem of tennis rachet. 11. Rigid body V: Lagrange's top, Chaos. 12. Rigid body VI: Summary. 13. Analytical mechanics I: Variational method, Principle of least action. 14. Analytical mechanics II: Generalized coordinates, Lagrangian function. 15. Analytical mechanics III: Hamiltonian, Canonical variables. |
| Prerequisites |
| Mechanics, Calculus, Linear algebra |
| Required Text(s) and Materials |
| Mechanics II (Takagi: Shokabo) |
| References |
| Classical Mechanics (Barger & Olsson: Baifukan) |
| Assessment/Grading |
| Test (60%) and Reports (40%) |
| Message from instructor(s) |
| Just do it. |
| Course keywords |
| Multi-particle system, rigid body, Analytical mechanics, Lagrangian, Hamiltonian |
| Office hours |
| Contact by e-mail |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 3/11/2019 7:38:25 PM |