| TMME28 |
Engineering Mechanics �?" Dynamics, 6 ECTS credits.
/Mekanik - dynamik/
For:
M
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Prel. scheduled
hours: 56
Rec. self-study hours: 104
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Area of Education: Technology
Main field of studies: Mechanical Engineering
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Advancement level
(G1, G2, A): G1
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Aim:
The goal of the course is to give the student familiarity with the basic laws of dynamics and the skill to apply them independently to actual problems. After the course, the student should be able to:
- Define the basic concepts in mechanical engineering as force, couple, equilibrium, velocity, acceleration, angular velocity, angular acceleration, linear impulse and linear momentum, angular impulse and angular momentum, mechanical work, energy and gyroscopic motion.
- Apply the above concepts and definitions to problems related to engineering mechanics.
- Perform simple derivations of theorems and expressions used in dynamics of particles and dynamics of rigid bodies.
- Draw free body diagrams, formulate kinematic constraints and derive the governing equations for mechanical problems by using Euler laws of motion for rigid bodies.
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Basic courses in linear algebra and calculus, Mechanics - Statics
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
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Supplementary courses:
Mechanics, second course, Vibration analysis of structures, Solid mechanics
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Organisation:
The lectures treats topics of principal importance, and might, apart from theory and examples, also contain clarifying experiments. The purpose of the lessons is to give the student an ability to solve problems independently.
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Course contents:
Newtons laws of motion. Gravity. Kinematics of particles (velocity and acceleration in cartesian and polar coordinates). Linear and angular momentum for a particle. Impulse and impact. Mechanical work, kinetic and potential energy. Kinematics of rigid bodies (velocity and acceleration, instantaneous center of zero velocity). Coriolis equation. Plane kinetics of rigid bodies (Euler�?Ts equations of motion, mass moment of inertia, linear and angular momentum, work, energy, impulse). Three-dimensional kinematics of rigid bodies (the angular velocity vector, velocity, acceleration). Three dimensional motion of rigid bodies (Euler�?Ts equations of motion, the inertia matrix, rotation about a fixed axis, gyroscopic motion).
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Course literature:
J.L.Meriam and L.G.Kraige: Engineering Mechanics Statics and Dynamics, SI Units, John Wiley and Sons, Inc
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Examination: |
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Written examination
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6 ECTS
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Course language is Swedish.
Department offering the course: IEI.
Director of Studies: Peter Schmidt
Examiner: Stefan Lindström
Link to the course homepage at the department
Course Syllabus in Swedish
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