Trajectories of a damped double-swinging Atwood's machine
Abstract
We generalize existing equations of motion for a Double-Swinging At wood's Machine (DSAM) by deriving damping terms using a modified Rayleigh's dissipation function. Two types of damping are introduced: air drag of the swinging masses and friction in the pulley. Numerical simulations for some parameter set reveal crucial differences between the undamped and the damped DSAM. Experimental data gathered via image processing is shown to fit well with the model of three free parameters, predicting a value of g = 11.25 m/s2.