# HE1017 Dynamics 7.5 credits

### Offering and execution

Course offering missing for current semester as well as for previous and coming semesters

## Course information

### Content and learning outcomes

#### Course contents *

• Units, quantities and dimensional analysis.
• Forces, torque.
• Equilibrium. Free-body diagrams.
• Center of mass. Friction.
• Kinematics of particles. Normal and tangential coordinates.
• Newton’s laws. Dynamics of particles.
• Work, power, energy.
• Momentum, angular momentum.
• Vibrations.
• Moment of inertia. Rotation of a rigid body about a fixed axis.
• Introduction to computer simulation of mechanical systems.

#### Intended learning outcomes *

Participants of this course should achieve basic knowledge of static’s and particle dynamics, and an introduction to rotation of rigid bodies.

To obtain the grade E, the student shall be able to

• analyse simple static systems with and without friction, use free-body diagrams and equations of equilibrium, and treat these mathematically.
• describe the general bonds uniting the different properties of particle motion, like displacement, velocity and acceleration, represented in rrectangular as well as normal and tangential coordinates.
• analyse simple problems concerning straight and curvilinear motion of particles, write equations of motion based on Newton's laws and derived laws, and treat these mathematically.
• describe the properties of motion of the different cases of linear oscillation.
• solve simple problems of rotation of a rigid body about a fixed axis, using analysis of torque and energy.
• control the possible correctness of proposed solutions, e g concerning dimension and geometry.
• analyse and simulate complex mechanical systems using an advanced computing tool.

To obtain higher grades, the student shall be able to

• theoretically derive the laws of mechanics used in the course.
• analyse and manage somewhat harder static and dynamic problems, including more advanced mathematical treatment.

#### Course Disposition

No information inserted

### Literature and preparations

#### Specific prerequisites *

Vector geometry, one variable calculus, differential equations, corresponding to the courses HN1901 Matematik I och HN1001 Tillämpad matematik.

#### Recommended prerequisites

No information inserted

#### Equipment

No information inserted

#### Literature

The course literature is posted on the course’s homepage at least four weeks before the course starts.

The previous academic year used the following literature:
Nyberg C, Mekanik grundkurs, Liber 2003
Nyberg C, Mekanik problemsamling, Liber 2003

### Examination and completion

A, B, C, D, E, FX, F

#### Examination *

• TEN1 - Examination, 4.5 credits, Grading scale: A, B, C, D, E, FX, F
• ÖVN1 - Exercises, 3.0 credits, Grading scale: P, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

#### Other requirements for final grade *

Passed written exam
Passed lab assignments

#### Opportunity to complete the requirements via supplementary examination

No information inserted

#### Opportunity to raise an approved grade via renewed examination

No information inserted

### Further information

#### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web HE1017

#### Offered by

ITM/Sustainable Production Development

#### Main field of study *

Physics, Technology

First cycle