MAS224 Rigid Body 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. The lectures, exercises and exams will be given in English.

Content

• Single Particles: Kinematics, Kinetics.
• Two Particles:  Kinematics, Kinetics.
• 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

Learning Outcome

After completing the course MAS224 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.

Skills (individual, focused abilities)

• Apply Newton's Laws of motion on particles and bodies.
• Solve systems of equations using Matlab.
• 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

MAS100 Statics and mechanics of materials or equivalent

MAT100 Basic mathematics for engineers or equivalent

MAT107 Intermediate mathematics for engineers or equivalent

Basic understanding of Matlab

Teaching methods

 Lectures, problem sessions and exercises with elements of flipped classroom.

Compulsory learning activities

4 mandatory assignments.

The approved work requirement is valid in the examination semester and 4 semesters.

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.

One two-sided A4 paper with notes.

More about examination support material

Course reductions

• MAS112 - Dynamikk - Reduction: 5 studypoints
• MAS110 - Dynamikk og fluidmekanikk - Reduction: 5 studypoints
• MAS226 - Kinetikk - Reduction: 5 studypoints