Engineering Mechanics

Aim

The course aims to provide knowledge of the basic relationships in classical mechanics, as well as provide an introduction to experimental problem solving. After completing the course the student should be able to:

• treat basic mechanical problems using laws of force and motion, kinetic energy and work and momentum equations and describe motion in both cartesian and polar coordinates in the plane
• formulate, simplify and solve simple mechanical problems from different approaches.
• apply physics modeling and experimental problem solving
• use dimensional analysis in order to formulate a mathematical description of a physical phenomenon.
• present measurements, results and conclusions in a written report Course content Kinematics (linear and plane movement of particles), relative motion (uniform relative translation and rotation), Dynamics of particles (The law of inertia, mass, momentum, Newton's second and third laws, the concept of force, frictional forces, angular momentum, central forces), work and energy (work, effect, kinetical and potential energy, conservative forces, potential energy curves) the dynamic of particle systems (motion of the center of mass, momentum and kinetical energy for a system of particles, laws of conservation), dynamic of the rigid body(angular momentum and moment of inertia, the equation for rotation of a rigid body), oscillatory motion(simple harmonic motion, the mathematical- and physical pendulum). Teaching and working methods The seminars are treating principally important sectors and may contain simple demonstrations of mechanical course of events or the solution of typical examples. Examination UPG1Hand-in assignment1 creditsU, GKTR1Excercise0 creditsU, GLAB2Laboratory work1 creditsU, GTEN1Written examination4 creditsU, 3, 4, 5 Grades Four-grade scale, LiU, U, 3, 4, 5 Department Institutionen för fysik, kemi och biologi Director of Studies or equivalent Magnus Johansson Examiner Carl Hemmingsson Course website and other links http://www.ifm.liu.se/courses/tfyy68 Education components Preliminary scheduled hours: 64 h Recommended self-study hours: 96 h Course literature Additional literatureBooksHemmingsson/Janzén/Ribberfors/Erickson, Exempelsamling i MekanikMerkel m.fl., Rapportskrivning: En lathund för studenterNordling/Österman, Physics HandbookSandell, Experimentell problemlösningYoung & Freedman, University Physics with modern Physics 13 ed

Content

Kinematics (linear and plane movement of particles), relative motion (uniform relative translation and rotation), Dynamics of particles (The law of inertia, mass, momentum, Newton's second and third laws, the concept of force, frictional forces, angular momentum, central forces), work and energy (work, effect, kinetical and potential energy, conservative forces, potential energy curves) the dynamic of particle systems (motion of the center of mass, momentum and kinetical energy for a system of particles, laws of conservation), dynamic of the rigid body(angular momentum and moment of inertia, the equation for rotation of a rigid body), oscillatory motion(simple harmonic motion, the mathematical- and physical pendulum).