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2016　Fundamentals of Mechanics 2

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Academic unit or major
Basic science and technology courses
Instructor(s)
Watabiki Yoshiyuki 
Class Format
Lecture     
Media-enhanced courses
Day/Period(Room No.)
Fri3-4(H136)  
Group
N
Course number
LAS.P102
Credits
1
Academic year
2016
Offered quarter
2Q
Syllabus updated
2017/1/11
Lecture notes updated
-
Language used
Japanese
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Course description and aims

Following Fundamentals of Mechanics 1, this course teaches particle motion observed in a coordinate system undergoing acceleration as well as the mechanics of systems of interacting particles and rigid bodies (defined as systems of particles in which the distances between particles is fixed).

Mechanics is important for understanding nature, and is essential for the study of science, engineering, life sciences, and other specialized courses. On the basis of the mechanics of single particle, students will learn particle motion in coordinate systems undergoing accelerated motion as well as inertial forces. Moreover, students will learn the mechanics of systems of interacting particles, as well as the motion and balance of rigid bodies. From this, students will be able to solve general problems in mechanics.

Student learning outcomes

By completing this course, students will be able to:
1) Understand the concepts of inertial forces (Coriolis force and centrifugal force) correctly, and describe them mathematically.
2) Understand the concepts of momentum, angular momentum, energy, etc. in systems of particles and the center of mass, moment of inertia, etc. in rigid bodies, correctly, and describe them mathematically.
3) Understand motion and equilibrium of rigid bodies correctly, and solve actual mechanical problems by applying the appropriate mathematical formulas.
4) Find mathematical solutions to problems in mechanics, expressed by the appropriate equations, and explain the physical meaning of said solutions.

Keywords

coordinate transform, inertial force, Coriolis force, centrifugal force, relative coordinates, reduced mass, center of mass, momentum, angular momentum, energy, rigid body, equilibrium, moment of inertia

Competencies that will be developed

✔ Specialist skills Intercultural skills Communication skills Critical thinking skills ✔ Practical and/or problem-solving skills

Class flow

Two-thirds of each class are devoted to fundamentals and the rest to advanced content or application. To allow students to get a good understanding of the course contents and practice application, problems related to the contents of this course are provided in Exercises in Physics I.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Introduction to the rotational coordinates Introduction to the vector analysis The non-inertial system and Newton mechanics Understand the two-dimensional and the three-dimensional rotational coordinates. Understand the gradient and the line integral. Understand the non-inertial system, the two-dimensional rotational system, centrifugal force and Coriolis force.
Class 2 The conserved force, potential, work The conservation law of the two-particle system Understand conserved force, potential, work. Understand the conservation law, the relative coordinates and the reduced mass of the two-particle system.
Class 3 The motion under the uniform gravity and harmonic oscillation Understand the resonance, forced oscillation, attenuated oscillation.
Class 4 The central force, angular momentum Understand the central force and the angular momentum.
Class 5 The motion by the central force Kepler motion Understand the motion by the central force. Understand Newton gravity and Kepler motion.
Class 6 The center of gravity, inertia moment Understand the center of gravity, inertia moment.
Class 7 The balance of force of a rigid body, the equation of motion of a rigid body The momentum, angular momentum, energy of a rigid body Understand the balance of force of a rigid body, the equation of motion of a rigid body.
Class 8 Motion in an accelerated coordinate system. Thermodynamics, waves, and energy utilization Be able to compare and contrast the Coriolis force with the centrifugal force. Understand the basics of the Carnot cycle and the one-dimensional wave equation.

Textbook(s)

None

Reference books, course materials, etc.

None

Assessment criteria and methods

Learning achievement is evaluated by a final exam.

Related courses

  • LAS.P105 ： Exercises in Physics I

Prerequisites (i.e., required knowledge, skills, courses, etc.)

No prerequisites.

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