Mechanics and Relativity
Faculteit  Science and Engineering 
Jaar  2018/19 
Vakcode  WPPH16006 
Vaknaam  Mechanics and Relativity 
Niveau(s)  propedeuse 
Voertaal  Engels 
Periode  semester I 
ECTS  10 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Mechanics and Relativity  
Leerdoelen  Upon completion of this course, the student is able to: 1. describe the main postulates of special relativity and to reproduce elementary formulae; 2. analyze, reformulate in event terms, and solve simple problems in special relativity; 3. apply Newton’s laws using freebody diagrams to derive and solve the equations of translational motion of objects in multiple spatial dimensions; 4. describe twodimensional motion in a rotating frame of reference with due account of fictitious forces. 5. recognize and describe simple harmonic oscillators; 6. classify when and know how to apply the conservation laws of energy and momentum; 7. apply the relation between angular momentum and torque to derive and solve the equations of rotational motion for sets of particles and for rigid bodies; 8. solve simple physics problems by dimensional analysis; 9. make order of magnitude estimates given limited available information and without the use of a calculator. 

Omschrijving  This course deals with two intertwined topics: classical mechanics and special relativity. The following elements are treated, in order of increasing mathematical complexity: • Special theory of relativity (principle of relativity, synchronization of clocks, the nature of time, the metric equation, proper time, coordinate transformations, Lorentz contraction, cosmic speed limit, and conservation of fourmomentum); • Newtonian mechanics of particles in two dimensions (vectorial form of Newton's laws, Cartesian and polar coordinates, statics, projectile motion, work, kinetic energy, potential energy and momentum, conservation laws, collisions, simple harmonic oscillator, fictitious forces); • Dynamics of rigid bodies in two and, to minor extent, in three dimensions (angular momentum, moment of inertia, torque, conservation of angular momentum, precession). Furthermore, the student will be able to calculate in natural units and dimensions, and without the use of a pocket calculator compute simple physics problems. The student can make quick “Fermi” estimates, correct within at least an order of magnitude, of quantities given limited available information. 

Uren per week  
Onderwijsvorm 
Hoorcollege (LC), Werkcollege (T)
(LC 64, T 56 hrs, self study 160) 

Toetsvorm 
Schriftelijk tentamen (WE)
(2 written exam over period Ia and IIa, comprised of three cumulative tests with weight factors 0.2, 0.3 and 0.5. These tests will be held after 3, 6 and 8 weeks each period.) 

Vaksoort  propedeuse  
Coördinator  dr. ir. C.J.G. Onderwater  
Docent(en)  prof. dr. A. Mazumdar ,dr. ir. C.J.G. Onderwater  
Verplichte literatuur 


Entreevoorwaarden  
Opmerkingen  The first part of this course unit, taught and assessed in period Ia, coincides with Mechanics & Relativity 1 for firstyear Mathematics students. Mechanics & Relativity 2 is an elective for Mathematics students and coincides with the lectures, tutorials and exams of Mechanics & Relativity (WPPH16006) in period Ib. Each of the cumulative grades for both written exams for periods Ia and Ib respectively need to be higher than 4. 

Opgenomen in 
