Entry requirements

Algebra and Geometry. Mechanics Basic Course. Several Variable Calculus (may be attended in parallel).

Learning outcomes

On completion of the course, the student should be able to:

• account for basic concepts within mechanics,
• describe and apply Euler's laws on rigid body motion,
• account for the different properties of materials and their applications,
• explain basic concepts and phenomena for mechanical waves / oscillations in strings / solids and their practical applications,
• set up mathematical models for specific mechanical problems, analyse these models as well as assess the accuracy of the results,
• carry out physical experiments as well as verbally and in writing explain and defend the results.

Content

Basic concepts:

Force, momentum, impulse, torque, angular momentum, momentum of impulse, work, energy, the energy principle.

Rigid body's statics:

Equilibrium equations for rigid bodies, reaction forces and moments.

Stiff body kinematics and dynamics in three dimensions (six degrees of freedom, but essentially application on 2D motion):

Newton's and Eulers laws for motion, Euler's angles and quaternions, inertia, asymmetric rotating bodies, angular momentum, gyroscope.

Elasticity:

Elongation, tension and interrelationships between them, isotropic material, bending, twisting, transition between rigid body idealization and elasticity.

Pivotal movement:

Eigen-frequencies, attenuated oscillations, mechanical waves, longitudinal and transverse waves, standing waves, sound waves, energy transport, practical applications.

Orientering about some basic machine elements:

Gears and clutches, joints, etc.

Instruction

Lectures, lesson exercises, laboratory exercises with oral and written presentation of laboratory report. Guest lecture or study visit.

Programming of robot control.

Assessment

Laboratory work with oral and written presentation (1 credit), written exam (4 credits).

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

Transitional provisions

1FA102 Mechanics II cannot be included in the same degree as this course.