http://sites.science.oregonstate.edu/portfolioswiki/ 2020-01-27T03:50:17-08:00 http://sites.science.oregonstate.edu/portfolioswiki/ http://sites.science.oregonstate.edu/portfolioswiki/lib/images/favicon.ico text/html 2012-07-05T10:31:06-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:oslec:osleccomplexreps?rev=1341509466 Complex Representations; Initial conditions revisited (20 minutes) Notes for representing harmonic motion, including complex numbers: \[ \hbox{“C-form”}\qquad f\left( t \right)=Ce^{i\omega t}+C^{*}e^{-i\omega t}\] \[ \hbox{“D-form”}\qquad\qquad f\left( t \right)=\Re\left( De^{i\omega t} \right)\] text/html 2012-07-10T18:25:11-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:oslec:osleccomplexreview?rev=1341969911 Review of complex numbers (40 minutes) Notes for representing harmonic motion, including complex numbers text/html 2012-07-05T10:25:08-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:oslec:oslecdampedho?rev=1341509108 Notes on the underdamped harmonic oscillator The damped harmonic oscillator “”“” text/html 2012-07-06T09:50:35-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:oslec:oslecenergydiagram?rev=1341593435 Potential energy diagrams: a means to calculate time of travel [Energy diagram slides/notes] using mass-on-a spring prop. Discuss features of PE diagram: equilibrium points, kinetic energy and velocity, turning points, $etc$. The focus of the lecture is calculating travel time, given a velocity, with the harmonic oscillator as an example and variants considered qualitatively. The focus is not the equation of motion of a pendulum. The students know that their next activity will be to measu… text/html 2012-07-05T10:21:35-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:oslec:oslecfouriercoefflec?rev=1341508895 Fourier coefficients (xx minutes) FIXME upload slides/notes FIXMEFIXME text/html 2012-07-05T10:21:07-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:oslec:oslecharmonic_real?rev=1341508867 Representing harmonic motion (10 minutes) Notes on harmonic representations, including complex numbers etc“”“” text/html 2012-07-05T10:19:21-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:oslec:oslecpendnewtonlaw?rev=1341508761 [Notes] on Newton's law for SHO. Simple harmonic motion from Newton's law “”“”“” text/html 2015-06-19T13:28:19-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:oslec:oslectopic2?rev=1434745699 Lecture (40 minutes) [lecture notes] Use this lecture as a time for students to connect their lab measurements to the derivation of the response of the series LCR circuit to a sinusoidal driving force. Introduce phasor notation (only the word “phasor” is new - the Argand representation is not). Introduce the words admittance and impedance to describe the response. Consider impedance and addmittance as complex quantities that contain information about amplitude and phase. Discuss resonanc… text/html 2015-06-19T13:28:45-08:00 http://sites.science.oregonstate.edu/portfolioswiki/courses:lecture:oslec:oslectopic3?rev=1434745725 Lecture: Response of a circuit to a sinusoidal driving force (30 minutes) [lecture notes] This discussion adds a sinusoidal driving force to the restoring force and the resistive force present in a series RLC circuit. Rather than discuss the rigorous mathematics (homogeneous equation, particular solutions, etc.), a choice is made to propose a sinusoidal solution with the frequency of the driving force. Make physical arguments about why this is reasonable after a time scale long compared with…