MAS112 Dynamics

Contents and structure

This course concerns the kinematics (motion) and kinetics (forces that cause motion) of both particles and bodies. It exploits rotation matrices and moving frames for the analysis for both 2D and 3D motion. The course introduces the following topics: linear momentum, angular momentum, work, energy and conservation principles. Students will learn a simple math software package and apply it to problems in dynamics. Students will be introduced to the mechanics of gears, links, rolling wheels, cams, rotating axial members and gyroscopic effects. The lectures, exercises and exams will be given in English.

Content

• Single Particles: Kinematics, Kinetics, Work, Energy, Momentum.
• Two Particles: the above, plus contact and collision
• Many Particles: the above, plus the concept of centers of mass
• Kinematics of bodies in two and three dimensions
• Kinetics of bodies in two and three dimensions: Newton's and Euler's Equations
• Kinetic analyses of axial members and gyroscopic effects

Learning Outcome

After completing the course MAS112 the students will possess the following:

Knowledge (overall understanding)

• An understanding of kinematics (translation and rotation) and the kinetics (force and moments) in both two and three dimensions.
• An understanding of simple mechanisms.

Skills (individual, focused abilities)

• Apply Newton's Laws of motion on particles and bodies.
• Understand the mechanics of links, gears, gyroscopes, rolling wheels and other mechanisms.
• Solve systems of equations using mathematical computer packages.
• Apply methods of matrix and vector algebra
• Apply methods of differential and integral calculus

Competence (effective application and integration of skills)

• Simplify a complex problem, creating free body diagrams to simplify analyses.
• Distinguish when to model objects as particles or bodies.
• Understand the limitations of models;
• Understand the role of energy dissipation through friction.
• Understand the role that computers can play in solving complex problems.

Entry requirements

None

Recommended previous knowledge

Statics and strength of materials, Mathematics 1, Mathematics 2.

Teaching methods

Exercises, lectures.

Compulsory learning activities

4 mandatory assignments.

Approved assignments are valid in the examination semester and 1 following semester.

Assessment

Written examination, 4 hours.

Time and place for the examination will be announced at Studentweb.

Grading scale is A-F where F is fail.

Examination support material

One simple standard HVL approved calculator.

More about examination support material