Admission requirements
Prior knowledge of Analyse 1 (NA) and Lineare Algebra 1 (NA)
Description
This first course in Classical Mechanics describes the (non-relativistic) motion of objects in three dimensional space following from Newton’s laws. You learn to describe the motion mathematically, by analyzing forces and setting up the relevant equations.
The introduced concepts such as conservation laws and force balances are used in most physical processes and are therefore of great importance.
The lecture consists of lectures, associated work-study assignments and assignment sets.
Topics will include the following:
1. Motion and acceleration
2. Newton’s laws: forces and motion.
3. Energy, work, linear momentum, angular momentum.
4. Equations of motion in three dimensions.
5. Harmonic motion, resonance and damped driven harmonic oscillator
6. Friction: static, dynamic
7. Systems of many particles: center-of-mass, reduced mass, elastic and inelastic collisions.
8. Rotations around a fixed axis: moment of inertia, angular momentum, torque.
9. Conservative forces and potential energy.
10. Non-inertial systems, both with linear acceleration and rotation. The concepts of Coriolis force, centripetal force, transversal force.
Course objectives
Upon successful completion of this course, you will be able to mathematically describe non-relativistic motions of objects in three-dimensional space.
This includes being able to
apply the laws of Newton to describe the motion of simple objects in two and three dimensions and quantify involved forces.
calculate energy, work, momentum and angular momentum.
use the conservation laws to quantify the motion of multiple particles.
take into account various forms of friction and driving forces when determining the motion of objects.
quantify motion in non-inertial systems and know the therein appearing forces, such as the Coriolis force, centripetal and transversal force.
apply the concepts of conservative forces and potential energy.
Transferable Skills
You will learn to analyze and abstract complex mechanical situations by solving the exercises.
Timetable
Schedule
For detailed information go to Timetable in Brightspace
You will find the timetables for all courses and degree programmes of Leiden University in the tool MyTimetable (login). Any teaching activities that you have sucessfully registered for in MyStudyMap will automatically be displayed in MyTimeTable. Any timetables that you add manually, will be saved and automatically displayed the next time you sign in.
MyTimetable allows you to integrate your timetable with your calendar apps such as Outlook, Google Calendar, Apple Calendar and other calendar apps on your smartphone. Any timetable changes will be automatically synced with your calendar. If you wish, you can also receive an email notification of the change. You can turn notifications on in ‘Settings’ (after login).
For more information, watch the video or go the the 'help-page' in MyTimetable. Please note: Joint Degree students Leiden/Delft have to merge their two different timetables into one. This video explains how to do this.
Mode of instruction
See Brightspace. This class will be taught in Dutch.
Assessment method
The course is graded using a midterm test, assignment sets and an exam.
Reading list
Obligatory (book): Intermediate Dynamics, Patrick Hamill, 2nd edition (Cambridge University Press)
Registration
As a student, you are responsible for registering on time, i.e. 14 days before the start of the course. This can be done via Mystudymap. You do this twice a year: once for the courses you want to take in semester 1 and once for the courses you want to take in semester 2. Please note: late registration is not possible.
Registration for courses in the first semester is possible from July; registration for courses in the second semester is possible from December. First-year bachelor students are registered for semester 1 by the faculty student administration; they do not have to do this themselves. For more information, see this page
In addition, it is mandatory for all students, including first-year bachelor students, to register for exams. This can be done up to and including 10 calendar days prior to the exam or up to five calendar days in case of a retake exam. You cannot participate in the exam or retake without a valid registration in My Studymap.
Contact
Contactgegevens docent: Dr. A. Silvestri
Remarks
none