Course content

Basics. Kinematics. Kinetics. Inertial frame of reference. Plane motion. Polar coordinates. Tangential and normal acceleration. Work and energy. Impulse. Impact. Dynamics of bodies. Rotation about a fixed axis. Rotation about a fixed point. Moment of inertia. Equation of work. Two dimensional problems. Three-dimensional problems. Plan movement. Kinematics. Law of moments. Kinetics. Laws of impulse and momentum. System of bodies. Work and energy. Relative movement. General rigid-body kinematics. General rigid-body kinetics. Vibration theory. Free oscillations without damping. Damped free oscillations. Induced vibrations. Resonance.

Learning outcome

The course shall give basic knowledge in the dynamics of a system that may consist of springs, dampers and rigid bodies. Moreover, the course provides a basis for advanced courses in dynamics. Dynamics has the following learning goals:

Knowledge: The candidate will get knowledge of

• Definitions of quantities in dynamics
• Law of forces and moments
• Velocities and accelerations in Cartesian and polar coordinates
• Work and energy principles
• Elastic and plastic impact
• Relative motion
• Vibration theory with one degree of freedom. ​

​​​​​​Skills: The candidate will be able to

• Establish equations for the dynamics in simple systems using kinematics and the basic laws in kinetics
• Solve the equations and evaluate the results.

General competence: The candidate will have competence in

• Basic principles in dynamics
• Perform simple calculations by hand within the framework of the curriculum of the course.
• Be able to use physical insight to analyze and solve statics and strength of materials problems within the framework of the syllabus of the course.

Digital competence: Certain mandatory exercises will involve computational tools such as Python or Mathematica.

Sustainability competence: The course aims to enable students to design sustainable structures that are both economically feasible and environmentally safe.

Learning methods and activities

Lectures and mandatory calculation exercises. Access to the exam requires that 2/3 of the calculation exercises have to be approved.

Compulsory assignments

• Exercise

Recommended previous knowledge

TKT4116/TKT4118 Mechanics 1 og TKT4122/TKT4123 Mechanics 2.

Course materials

J. L. Meriam, L. G. Kraige and J. N. Bolton: "Engineering mechanics, Dynamics" 9. edition, 2020, SI-units, Global Edition