Docent lecture: "Motion of the Pendulum"

  • Date: –11:30
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 2002
  • Lecturer: Fil dr Vitaliy Goryashko
  • Organiser: Institutionen för Fysik och Astronomi
  • Contact person: Vitaliy Goryashko
  • Phone: 0762057997
  • Docentföreläsning

The pendulum is the reference model for describing periodic phenomena in Nature. The aim of this lecture is to examine and understand the motion of a pendulum.

The pendulum is the reference model for describing periodic phenomena in Nature. The aim of this lecture is to examine and understand the motion of a pendulum.  Its motion will mainly be treated in the limit of small-amplitude oscillations but the pendulum phase portrait and large-amplitude oscillations will also be partly covered.  To this end, during the lecture we will do the following:

(i) discuss some examples of periodic phenomena in Nature;

(ii) introduce the model of the pendulum;

(iii) derive the equation of its motion;

(iv) analyse the general solution to the equation of motion in the limit of small-amplitude oscillations;

(v) calculate analytically and measure experimentally the period of pendulum oscillations;

(vi) estimate the measurement uncertainty;

(vii) consider the pendulum motion beyond the small-amplitude approximation.