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UW-Madison PHYSICS 207 - SHM and Resonance Lab Worksheet

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M-12b: SHM and Resonance Name_______________________ Lab Worksheet Group member names__________________________________ 1 Systems that oscillate (that undergo simple harmonic motion) are everywhere in nature: music, the stock market, biological populations, etc. Atoms are bound together into molecules with spring-like electromagnetic forces: the molecules absorb or emit light of specific frequencies that match the resonant frequency of these structures. This lab will introduce you to the prototypical model for an oscillator – a mass connected to a spring (or, two springs here) and will allow you to develop your intuition for these systems. The lab manual has many parts but unfortunately we don’t have time for them all. These notes will lead you through the parts you should work on – you will skip around a bit. This file includes some graph paper, which may be useful for some parts of the lab (print out more sheets as needed.) Part I. Undamped Simple Harmonic Motion Before you come to lab, read the introduction to the lab on p. 75 and halfway down p. 76. Stop before “Suggestions.” Figure 2 (p. 78) shows the setup you will use for part I of the lab. 1.) Before coming to lab, skip to Question 1 under “Undamped Simple Harmonic Motion” and answer that question here: 2.) Skip to p. 77, Experiment III. Measure the spring constants of your two springs with Hooke’s Law. Your TA will show you the “knife edge” needed for this. Ignore the last sentence. You can put your plots of force vs displacement for each spring here. Estimate your uncertainty, Δk, for the effective spring constant of the pair of springs.M-12b: SHM and Resonance Name_______________________ Lab Worksheet 2 3.) Answer Question 5 on p. 77 here: You will now perform “Further Investigations of ‘Undamped’ SHM” (pp. 77-79). Measure the x vs t behavior (Experiment IV pp. 78-79). 4.) In part 1, weigh the glider and vane and determine the mass, m, and estimate your uncertainty in the measurement, Δm. Using the spring constant you measured in Expt. III, compute the expected oscillation frequency, ω0, and its uncertainty, Δω0. (You may want to look at p. 12 of the Lab Manual again.) 5.) Compare your observed oscillation frequency with the expected frequency. 6.) Skip parts 8. and 9., but do part 10 and answer the question here:M-12b: SHM and Resonance Name_______________________ Lab Worksheet 3 II. Resonance Be sure to read section 14.8 of Knight before the lab. You will be creating a plot like figure 4 in the Lab Manual, which corresponds to figure 14.26 in Knight. (Note that the manual uses “R” for the damping constant, which is called “b” in our textbook.) Skip ahead to Experiment VI (p. 82). This one uses the software file from Experiment V. In part 10, just choose a few frequencies so you can roughly map out the resonance behavior (like figure 4) in part 11. Skip question 12.M-12b: SHM and Resonance Name_______________________ Lab Worksheet


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UW-Madison PHYSICS 207 - SHM and Resonance Lab Worksheet

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