This course focuses on the fundamental kinematics and kinetics to analyze various physical systems, such as mechanical systems. Topics include static mechanics of a point mass, kinetics of a point mass, mechanical work, momentum, mechanical energy, relative motion, moment of inertia, angular momentum, inertia tensor. The basic knowledge for these topics is explained.
It is indispensable to learn kinematics and kinetics for analyses in order to design various physical systems, such as mechanical systems. This course provides their basics which are applied to various mechanical design, such as robotics.
By the end of this course, students will be able to:
1) Use the kinematics for analyses of various physical systems, such as mechanical systems.
1) Use the kinetics for analyses of various physical systems, such as mechanical systems.
static mechanics of a point mass, kinetics of a point mass, mechanical work, momentum, mechanical energy, relative motion, moment of inertia, angular momentum, inertia tensor
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
At the beginning of each class, solutions to exercise problems that were assigned during the previous class arereviewed. Towards the end of class, students are given exercise problems related to the lecture given that day to solve.To prepare for class, students should read the course schedule section and check what topics will be covered.Required learning should be completed outside of the classroom for preparation and review purposes.
Course schedule | Required learning | |
---|---|---|
Class 1 | The Newton's law, vectors in mechanics and its notation, static mechanics of a point mass, equilibrium of forces, free body diagram. | Can depict free body diagram |
Class 2 | Static mechanics of a rigid body, equilibrium of forces, moment of force and caluculation of outer product, distributed loads and center of mass | Can explain distributed loads and center of mass |
Class 3 | Kinematics of a point mass, vector of angular velocity, outer product | Can explain vector of angular velocity |
Class 4 | Kinetics of a point mass, derivation of equations of motion | Can derive equations of motion |
Class 5 | Kinetics of a point mass, derivation of equations of motion, method to solve simple differential equations | Can solve equations of motion in simple differential equation forms |
Class 6 | Mechanical work, momentum, mechanical energy, two-body problem | Can solve two-body problem |
Class 7 | Moving coordinate system, relative motion, coordinate transformation | Can explain coordinate transformation |
Class 8 | Relative motion in a two-dimensional rotating coordinate system | Can explain relative motion in a two-dimensional rotating coordinate system |
Class 9 | Relative motion in a three-dimensional rotating coordinate system | Can explain relative motion in a three-dimensional rotating coordinate system |
Class 10 | Rigid body motion: representation of a rigid body motion, moment of inertia | Can explain moment of inertia |
Class 11 | Rigid body motion: angular momentum, mechanical energy | Can explain mechanical energy |
Class 12 | A rigid body in a three-dimesional space: inertia tensor | Can explain inertia tensor |
Class 13 | Principal moments of inertia, principal axes of inertia | Can explain principal axes of inertia |
Class 14 | Gyro effect, gyro rigidity | Can explain ｇyro effect |
Class 15 | Comprehensive exercises | Can solve comprehensive exercises |
Masaaki Okuma, Shin-Kougyou Rikigaku, Suurikougaku-sha; ISBN: 4-901683-24-1.
(Japanese)
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Students' knowledge of kinematics and kinetics to analyze various physical systems such as mechanical systems, and their ability to apply them toproblems will be assessed. Final exam 70%, exercise problems 30%.
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