2016 Exercises in Physics I

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Basic science and technology courses
Okuma Satoshi 
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Course description and aims

The course offers exercises related to the contents of Fundamentals of Mechanics 1 and 2. Students solve given problems and present their answers. This will allow them to understand mechanics and prepare them to solve more general problems in physics.

Student learning outcomes

By completing this course, students will be able to:
1) Find mathematical solutions to problems in mechanics expressed by equations and explain the physical meanings of the solutions.
2) Acquire methods and approaches to solve more general problems in physics.


particles, system of particles, rigid bodies, Newton's laws of motion, conservation of momentum, conservation of energy, conservation of angular momentum, moment of inertia, inertial force

Competencies that will be developed

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

Class flow

This course is conducted every two weeks alternately with Physics Experiment I. Students solve given problems and themselves explain their answers.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Description of motion: Newton’s three laws of motion. Explain Newton’s three laws of motion and express motion using the equations of motion.
Class 2 Linear motion Express typical linear motions such as free fall and simple harmonic motion: .Express the linear motion using the law of conservation of energy
Class 3 Motion in a plane: Work and energy Express damped linear motion (damped harmonic oscillation and driven harmonic oscillation) in addition to planar motion such as parabolic motion: Explain the concepts of work, kinetic energy, potential energy, and the law of conservation of energy.
Class 4 Motion under a central force Explain the law of conservation of angular momentum and the motion of a particle under a central force, and express motion using polar coordinates.: Express the motion of a particle under universal gravitation.
Class 5 Two-body problem: Momentum and angular momentum in systems of particles Express the two-body problem in terms of the relative coordinate and reduced mass: Explain the concept of center of mass, conservation of momentum and angular momentum in systems of particles.
Class 6 Equation of motion and equilibrium for rigid bodies: Motion of rigid bodies about a fixed axis Express the condition of equilibrium and equation of motion for rigid bodies: .Explain the concept of moment of inertia, angular momentum and energy of rigid bodies.
Class 7 How to calculate the moment of inertia:: Motion of rigid bodies in a plane. Calculate the moment of inertia of rigid bodies using the parallel-axis and perpendicular-axes theorem.: Describe the equation of motion for the motion of the rigid bodies in a plane.
Class 8 Motion in coordinate systems undergoing accelerated motion: Themodynamics, wave, utilization of energy Express the motion in coordinate systems undergoing accelerated motion.



Reference books, course materials, etc.

Specified by the instructor

Assessment criteria and methods

Learning achievement is evaluated by student's class performance, reports, and attendance.

Related courses

  • LAS.P101 : Fundamentals of Mechanics 1
  • LAS.P102 : Fundamentals of Mechanics 2

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

No prerequisites.

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