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.
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
Intercultural skills | Communication skills | Specialist skills | Critical thinking skills | Practical and/or problem-solving skills |
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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 | |
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Class 1 | Fundamental mathematics used in mechanics | Master how to use Tayler expansion, derivative equation, partial derivation and total derivation and line integral. |
Class 2 | Fundamental vector analysis used in mechanics | Master how to use inner product and cross product of vectors. |
Class 3 | One dimensional motion of a particle | Solve the motion of free fall, spring and pendulum by using equation of motion, the conservation low of momentum and energy. |
Class 4 | Two dimensional motion of a particle | Solve the parabolic motion and circle motion by using equation of motion, the conservation low of momentum and energy, |
Class 5 | The motion under a central force | Show the trajectory of planets with polar coordinate. |
Class 6 | Mechanics of many-body system | Divide the relative motion from the motion of center of gravity. |
Class 7 | Mechanics of rigid body | Calculate the moment of inertia of a sphere and the energy of rotation. |
Class 8 | Relative motion, thermodynamics, waves | Convert the equation of motion to the coordinate in moving elevator, etc. |
Mechanics, Morikazu Toda, Iwanami
none required
Learning achievement is evaluated by student's class performance, reports, and attendance.
No prerequisites.