Following Fundamentals of Mechanics 1, this course teaches the mechanics of systems of interacting particles and rigid bodies (defined as systems of particles in which the distances between particles is fixed) as well as particle motion observed in a coordinate system undergoing acceleration.
Mechanics is important for understanding nature, and is essential for the study of science, engineering, life sciences, and other specialized courses. Building on the mechanics of single particles, students will learn the mechanics of systems of interacting particles. From this, they will learn the motion and balance of rigid bodies. In addition, they will learn particle motion in coordinate systems undergoing accelerated motion as well as inertial forces. At the end of class, students will be able to solve general problems in mechanics.
By completing this course, students will be able to:
1) Correctly understand the concepts of momentum, angular momentum, energy, etc. in systems of particles; the center of mass, moment of inertia, etc. in rigid bodies; and mathematically describe them.
2) Correctly understand motion and equilibrium of rigid bodies, and solve actual physical problems by applying the appropriate mathematical formulas.
3) Correctly understand the concept of inertial forces (Coliolis force and centrifugal force) and mathematically describe them.
4) Correctly understand the concept of oscillation and wave, and mathematically describe them.
5) Find mathematical solutions to problems in mechanics, expressed by the appropriate equations, and explain the physical meaning of said solutions.
relative coordinates, reduced mass, center of mass, momentum, angular momentum, energy, rigid bodies, equilibrium, moment of inertia, inertial force, Coriolis force, centrifugal force
|✔ Specialist skills
|Critical thinking skills
|✔ Practical and/or problem-solving skills
Two-thirds of each class is devoted to fundamentals and the rest to advanced content or application. To allow students to get a good grasp of the course contents and practice problem solving skills, problems related to the contents of this course are provided in Exercises in Physics I.
|Planetary motion 1
|Learn how to calculate an orbit of a planet.
|Planetary motion 2
|Learn how to calculate a perihelion point.
|Consider the force acting on the Sun as well.
|Solve an equation of rotational motion of a rigid body.
|Moment of inertia
|Calculate moments of inertia for various rigid bodies.
|Explain the motion of a spinning top.
|Explain Corioli's force and centrifugal force.
Mechanics, M.Toda, Iwanami Publishing Company
Not in particular