Entry requirements

Linear Algebra and geometry I, Multivariable analysis, general course. Mechanics I. Or equivalent.

Learning outcomes

After completing the course the student should be able to:

• account for fundamental quantities for rigid body kinematics and dynamics.
• describe and apply the theory for rigid body mechanics, built from relations between fundamental quantities starting from Eulers I and II laws.
• describe and apply the theory of vibrations.
• account for the parameters describing properties of elastic materials and use those in simple applications.
• account for basic concepts and phenomena of mechanical waves in strings and solids, including standing waves and energy transport as well as technical applications of mechanical waves.
• analyse physical processes and discuss technical applications by constructing, using relevant approximations, a mechanical model and using mathematical methods to analyse models for planar motion
• show analytical problem solving skills for mechanical and engineering applications and be able to account for relevant approximations.
• carry out physical experiments, explain and justify the results in writing and orally

Content

Planar kinematics and dynamics of rigid bodies. Force, momentum, impuls, moment (torque), angular momentum, moment of inertia.

Eulers laws for planar motion, translation and rotation. Work and energy. Collisions. Statics for rigid bodies.

Vibrations.

Elasticity and mechanical waves, sound waves, standing waves and energy transport and how mechanical waves are used in applications. Simple machine elements, for example gears and clutches. Models for the motion of rigid bodies and applications. Experimental work, labs, oral and written presentation.

Instruction

Lectures, problem solving sessions and laboratory work. Guest lecture or study visit.

Assessment

Written test at the end of the course combined with non-compulsory written continuous examination, which may replace part of the test (4 credits).

Laboratory exercises with oral and written presentation (1 credit).