PHYS 1501Q Lecture Notes - Lecture 31: Small-Angle Approximation, Damping Ratio, Exponential Decay
5 Nov 2018
School
Department
Course
PHYS 1501Q verified notes
31/45View all
Document Summary
Physics 1501q - lecture 31 - simple and physical pendula . Friction in springs causing oscillations to lessen and eventually stop x(t) = acos(wt)e -dt. Where d is the decay constant and 1/d is the lifetime. If d < t, it is an underdamped oscillation. If d t, it is a critically damped oscillation (dampens the fastest) If d > t, it is an overdamped oscillation. The oscillator is subjected to a periodic external force. For example, a parent pushing their kid on a swing. The amplitude is greatest if w d = w 0 , where w 0 is the natural angular frequency. *note: damped oscillations and driven oscillations are not going to be tested on, just good to know about as an engineer. Examples of shm: torsion pendulum, physical pendulum, and simple pendulum (with small angle approximation) Torsion pendulum (source: slide 5 of 11/5 lecture slides)
