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.
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.
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
|Intercultural skills||Communication skills||Specialist skills||Critical thinking skills||Practical and/or problem-solving skills|
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|
|Class 1||Angular momentum in the three dimention||Represent three-dimensional angular momentum with cross products of the vectors.|
|Class 2||Torque and equation of rotational motion||Compare the rotational motion with linear motion.|
|Class 3||Relative motion around the center of gravity.||Represent the motion of the flying spring with vibration.|
|Class 4||Mechanics of rigid body.||Show the representation of the linear momentum, angular momentum and energy of rigid body with the gravity.|
|Class 5||Moment of inertia and rotational motion of rigid body.||Calculate the moment of inertia of some symmetrical rigid bodies by using integral.|
|Class 6||Rotational energy of rigid body.||Explain the rolling stone on a downhill.|
|Class 7||Relative motion to linearly accelerating coordinate||Explain an inertial force with an accelerating coordinate|
|Class 8||Relative motion to rotating coodinate.||Explain centrifugal force and Coriolis force.|
Mecanics, Morikazu Toda, Iwanami
Learning achievement is evaluated by a final exam.