Consider a mass m that is suspended from a ceiling by being connected to a spring k and damper c, such that the oscillat
Posted: Sun Apr 10, 2022 8:51 am
question was answered before but it's incomplete, please write a complete solution and make necessary substitutions for easy understanding. write the whole solution please
Consider a mass m that is suspended from a ceiling by being connected to a spring k and damper c, such that the oscillation is under-damped. It is known that the displacement x of the mass is given by the formula x = Dexp(- 2mt) sin(wat +°), and in addition that the envelope of curves in which the oscillation lies is given by y = +Dexp(- emt). с с 2m If the experimental data is given as: initial displacement Xo = -0.0329 meters initial velocity .co = Vo = -0.0664 meters/second = time ti = 0.15 seconds with displacement y1 = -0.0363 meters = time t2 = 0.25 seconds with displacement y2 = -0.023 meters Determine the following (to 4 significant figures): the amplitude D = ? =
the Consider a mass m that is suspended from a ceiling by being connected to a spring k and damper c, such that the oscillation is under-damped. It is known that the displacement x of the mass is given by the formula x = Dexp(- 2mt) sin(wat +°), and in addition that the envelope of curves in which the oscillation lies is given by y = +Dexp(- emt). с с 2m If the experimental data is given as: initial displacement Xo = -0.0329 meters initial velocity .co = Vo = -0.0664 meters/second = time ti = 0.15 seconds with displacement y1 = -0.0363 meters = time t2 = 0.25 seconds with displacement y2 = -0.023 meters Determine the following (to 4 significant figures): the amplitude D = ? =