Beats and resonance suppose that a mass-spring system can be modelled by the differential equation y" +81 y = cos(81) along with the initial conditions y(0) = 0 and y'(0) = 0. (a) describe in physical terms the mass-spring system modelled by this equation. (b) solve this initial value problem, and plot the solution over a meaningful range of t-values. (c) describe the motion of the mass. in particular discuss features of the oscillations such as the max- imum amplitude and period. (you can estimate these from the graph.) (d) what happens to the motion of the mass (for example, changes in amplitude or frequency) if cos(81) is replaced by cos(at) where a is allowed to approach 9? your answer should describe the behaviour in words, but inlude calculations and graphs to support your answer. suggestions: you already have the solution for a = 8. solve the initial value problem for three more values of a close to 9. include a = 9 too. or, you could also solve the differential equation more generally in terms of a, and then substitute values for a. note, though, this analytical solution fails when a = 9 and it takes perseverance to solve this case by hand. desmos or maple will be useful here!
Answers: 1
Physics, 22.06.2019 10:10
Henry, whose mass is 95 kg, stands on a bathroom scale in an elevator. the scale reads 830 n for the first 2.4 s after the elevator starts moving, then 930 n for the next 2.4 s. part a what is the elevator's speed 4.8 s after starting? express your answer with the appropriate units.
Answers: 2
Physics, 22.06.2019 16:30
A14 kg rock starting from rest free falls through a distance of 5.0 m with no air resistance. find the momentum change of the rock caused by its fall and the resulting change in the magnitude of earths velocity. earth mass is 6.0 * 10^24 kg. show your work assuming the rock earth system is closed.
Answers: 2
Physics, 23.06.2019 00:40
Researchers conducted an experiment to identify the effects of three different hand sanitizers on the growth of bacteria. the researchers grew one type of bacteria in twenty-four identical covered petri dishes. then, they opened eighteen petri dishes and applied the three hand sanitizers to six petri dishes each. they left the remaining six petri dishes closed as a control group. when the researchers measured the growth of bacteria two days later, the six dishes that had no hand sanitizer showed the least amount of bacterial growth. the researchers concluded that not using any hand sanitizer would lead to the least bacterial growth. which statement best explains why the researchers’ conclusion was not justified? the experiment tested too many variables. the control group was not treated the same as the experimental group. the sample size of twenty-four petri dishes is not large enough. the single type of bacteria is not adequate to make any conclusions.
Answers: 1
Beats and resonance suppose that a mass-spring system can be modelled by the differential equation y...
English, 12.07.2019 21:00
English, 12.07.2019 21:00
Mathematics, 12.07.2019 21:00
Mathematics, 12.07.2019 21:00
Mathematics, 12.07.2019 21:00
English, 12.07.2019 21:00
Physics, 12.07.2019 21:00