find out the unknown organic compound.

Analysis of Simple Harmonic Motion

(Give a relevant title, does not necessarily have to be “Unit:7”)

Everything must be COMPUTER GENERATED

Everything must also be in 12 point font

Excluding the title page of the lab

The point totals near the headings of each section indicate the total amount of points for that section

Introduction: [5 points]

Give me a brief but Detailed introduction on Hooke’s Law and simple harmonic motion.

Teach me what Hooke’s law and simple harmonic motion is. What are some of the important formulas and explain them to me, what do they mean? What do the variables in each equation stand for? The point is to mimic the form of the lab manual in the theory section, explain the theorey behind the experiment. Put things like this in your intro.

Objective: [5 points]

Tell me, What is the purpose of this experiment? What are we trying to prove?

Remember: There were 3 parts to this lab, what was the goal for each part of this lab?

Explain this in formal speech.

Procedure: [30 points]

To save on the amount of time needed to type these lab reports and also to reduce the amount of redundancy in the lab, you are skipping writing a procedure for parts 1 and 2. Although in a complete lab report, the procedure will be there for all sections of the lab. Instead,

You are to write a complete and very detailed procedure for part 3 of the experiment.

Everything should be included in the procedure for part 3, from telling me to create a data table with x amount of columns, to how you would get the value of gravity from your graph.

Your procedure has to be clear enough so that anyone reading it is able to conduct the experiment based on ONLY your written instructions.

Data: [10 points]

Give me a table of your data for Part 2 and Part 3

Part 2

(This table is for the simple harmonic motion part of the lab)

What mass did you suspend?

You can get the period for 5 cycles from your sine wave plot, the period for 1 oscillation (T) is the distance from one peak to another peak.

Use the formula for the period of a spring and your known values to find T

Give me a table for part 3

Part 3

(You should create this on your own, even though I wrote the table on the board)

Graphs: [15 points]

Correct Graph Title [1 point] Correct Axis names [ 1 point]

Linear fit [ 1 point] Linear fit equation [1 point]

Data legend [ 1 point]

Correct Graph Title [1 point] Correct Axis names [ 1 point]

Points where you measured 5 T [1 points]

Graph 3 is worth 7 points ( you should produce it on your own) consult your lab manual on what you should plot

Correct Graph Title [1 point] Correct Axis names [ 1 point]

Linear fit [ 1 point] Linear fit equation [1 point]

Value for acceleration due to gravity with work shown [3 points]

(Show work for the gravity calculation on lab report)

PUT THE CALCULATIONS FOR THIS SECTION RIGHT AFTER GRAPH 3

Hint: you can get gravity from the slope of the graph.

Calculations and Questions: [10 points]

This section of the lab is to test your conceptual understanding of the experiment, and show how your results compare with theoretical predictions.

1) What is the percent difference (not percent error) between the spring constant value you got from using hookes law in part 1, compared to the value of the spring constant you got from simple harmonic motion in part B? [3 points]

2) What is the percent error you get from comparing your experimental value for g, and the theoretical value for g, 9.8? [ 3 points]

3) How does mass affect the period of oscillation due to spring forces? [2 points]

Hint: look at the formula for the period of spring oscillations? Is mass in that formula?

4) How would increasing the distance a spring is stretched affect the period of oscillation?

[2 points]

Summary: [10 Points]

Give me a summary on all 3 parts of the experiment. Again, what is the purpose of the experiments and what did you find to be true about the graphs. Your results should be here as well as your percent differences. Can you say with confidence that the acceleration due to gravity is 9.8? Do the percent differences you obtained tell you that these are valid methods to fin the spring constant of a spring and the acceleration due to gravity? If something went wrong, what do you think could have caused it?

General point breakdown:

Prelab 15 points

Intro 5 points

Objective 5 points

Procedure 30 points

Data 10 points

Graphs 15 points

Questions 10 points

Summary 10 points

F vs. x

Spring Constant

Spring constant: y = 108.67x + 2.329

5.4320000000000002E-3 1.4E-2 2.3E-2 3.2000000000000001E-2 0.04 4.8000000000000001E-2 5.8000000000000003E-2 6.9000000000000006E-2 2.895 3.8149999999999999 4.8179999999999996 5.7990000000000004 6.8319999999999999 7.5270000000000001 8.641 9.7579999999999991 Compressed Spring -2.4399999999999999E-4 2.72E-4 9.6000000000000002E-4 3.1E-2 0.97699999999999998 1.8879999999999999

x (m)

Force (N)

SHM 1.9699999999999999E-2 3.61E-2 5.2400000000000002E-2 6.8 8E-2 8.5199999999999998E-2 0.1016 0.11799999999999999 0.13439999999999999 0.15079999999999999 0.16719999999999999 0.18360000000000001 0.2001 0.2165 0.2329 0.24929999999999999 0.26579999999999998 0.28220000000000001 0.29859999999999998 0.315 0.33139999999999997 0.3478 0.36420000000000002 0.38059999999999999 0.39700000000000002 0.41339999999999999 0.42970000000000003 0.4461 0.46250000000000002 0.47889999999999999 0.49519999999999997 0.51160000000000005 0.52800000000000002 0.5444 0.56079999999999997 0.57720000000000005 0.59360000000000002 0.61 0.62639999999999996 0.64290000000000003 0.6593 0.67569999999999997 0.69210000000000005 0.70860000000000001 0.72499999999999998 0.74139999999999995 0.75780000000000 003 0.7742 0.79059999999999997 0.80700000000000005 0.82340000000000002 0.83979999999999999 0.85619999999999996 0.87250000000000005 0.88890000000000002 0.90529999999999999 0.92169999999999996 0.93799999999999994 0.95440000000000003 0.9708 0.98719999999999997 1.0036 1.02 1.0364 1.0528 1.0691999999999999 1.0857000000000001 1.1021000000000001 1.1185 1.1349 1.1514 1.1677999999999999 1.1841999999999999 1.2005999999999999 1.2170000000000001 1.2334000000000001 1.2498 1.2662 1.2826 1.2989999999999999 1.3153999999999999 1.3317000000000001 1.3481000000000001 1.3645 1.3809 1.3972 1.4136 1.43 1.4463999999999999 1.4628000000000001 1.4792000000000 001 1.4956 1.512 1.5285 1.5448999999999999 1.5612999999999999 1.5777000000000001 1.5942000000000001 1.6106 1.627 1.6434 1.6597999999999999 1.6761999999999999 1.6926000000000001 1.7090000000000001 1.7254 1.7418 1.7582 1.7745 1.7908999999999999 1.8072999999999999 1.8237000000000001 1.84 1.8564000000000001 1.8728 1.8892 1.9056 1.9219999999999999 1.9383999999999999 1.9548000000000001 1.9713000000000001 1.9877 2.0041000000000002 2.0205000000000002 2.0369000000000002 2.0533999999999999 2.0697999999999999 2.0861999999999998 2.1025999999999998 2.1190000000000002 2.1354000000000002 2.1518000000000002 2.1682000000000001 2.1846000000000001 2.2010000000000001 2.2172999999999998 2.2336999999999998 2.2501000000000002 2.2665000000000002 2.2827999999999999 2.2991999999999999 2.3155999999999999 2.3319999999999999 2.3483999999999998 2.3647999999999998 2.3812000000000002 2.3976000000000002 2.4140999999999999 2.4304999999999999 2.4468999999999999 2.4632999999999998 2.4796999999999998 2.4962 2.5125999999999999 2.5289999999999999 2.5453999999999999 2.5617999999999999 2.5781999999999998 2.5945999999999998 2.6110000000000002 2.6274000000000002 2.6438000000000001 2.6600999999999999 2.6764999999999999 2.6928999999999998 2.7092999999999998 2.7256 2.742 2.7584 2.7747999999999999 2.7911999999999999 2.8075999999999999 2.8239999999999998 2.8403999999999998 2.8567999999999998 2.8733 2.8896999999999999 2.9060999999999999 2.9224999999999999 2.9390000000000001 2.9554 2.9718 2.9882 3.0045999999999999 3.0209999999999999 3.0373999999999999 3.0537999999999998 3.0701999999999998 3.0865999999999998 3.1030000000000002 3.1193 3.1356999999999999 3.1520999999999999 3.1684000000000001 3.1848000000000001 3.2012 3.2176 3.234 3.2504 3.2667999999999999 3.2831999999999999 3.2995999999999999 3.3161 3.3325 3.3489 3.3653 3.3818000000000001 3.3982000000000001 3.4146000000000001 3.431 3.4474 3.4638 3.4802 3.4965999999999999 3.5129999999999999 3.5293999999999999 3.5457999999999998 3.5 621 3.5785 3.5949 3.6113 3.6276000000000002 3.6440000000000001 3.6604000000000001 3.6768000000000001 3.6932 3.7096 3.726 3.7423999999999999 3.7589000000000001 3.7753000000000001 3.7917000000000001 3.8081 3.8246000000000002 3.8410000000000002 3.8574000000000002 3.8738000000000001 3.8902000000000001 3.9066000000000001 3.923 3.9394 3.9558 3.9722 3.9885999999999999 4.0049000000000001 4.0213000000000001 4.0377000000000001 4.0541 4.0704000000000002 4.0868000000000002 4.1032000000000002 4.1196000000000002 4.1360000000000001 4.1524000000000001 4.1688000000000001 4.1852 4.2016 4.2180999999999997 4.2344999999999997 4.2508999999999997 4.2672999999999996 4.2838000000000003 4.3002000000000002 4.3166000000000002 4.3330000000000002 4.3494000000000002 4.3658000000000001 4.3822000000000001 4.3986000000000001 4.415 4.4314 4.4477000000000002 4.4641000000000002 4.4805000000000001 4.4969000000000001 4.5132000000000003 4.5296000000000003 4.5460000000000003 4.5624000000000002 4.5788000000000002 4.5952000000000002 4.6116000000000001 4.6280000000000001 4.6444000000000001 4.6608999999999998 4.6772999999999998 4.6936999999999998 4.7100999999999997 4.7266000000000004 4.7430000000000003 4.7594000000000003 4.7758000000000003 4.7922000000000002 4.8086000000000002 4.8250000000000002 4.8414000000000001 4.8578000000000001 4.8742000000000001 4.8906000000000001 4.9069000000000003 4.9233000000000002 4.9397000000000002 4.9560000000000004 4.9724000000000004 4.9888000000000003 5.0052000000000003 -4.7600000000000003E-3 -9.5759999999999994E-3 -1.2999999999999999E-2 -1.7000000000000001E-2 -1.9E-2 -0.02 -2.1000000000000001E-2 -0.02 -1.7999999999999999E-2 -1.4999999999999999E-2 -1.2E-2 -8.2000000000000007E-3 -3.5560000000000001E-3 7.4399999999999998E-4 5.3880000000000004E-3 9.3439999999999999E-3 1.2999999999999999E-2 1.6E-2 1.7999999999999999E-2 1.9E-2 1.9E-2 1.7999999999999999E-2 1.6E-2 1.2999999999999999E-2 8.9999999999999993E-3 5.0439999999999999E-3 5.7200000000000003E-4 -4.0720000000000001E-3 -8.0280000000000004E-3 -1.2E-2 -1.4999999999999999E-2 -1.7999999999999999E-2 -1.9E-2 -0.02 -0.02 -1.7999999999999999E-2 -1.6E-2 -1.2999999999999999E-2 -8.8880000000000001E-3 -4.4159999999999998E-3 -1.16E-4 4.0119999999999999E-3 8.3119999999999999E-3 1.2E-2 1.4999999999999999E-2 1.7000000000000001E-2 1.7999999999999999E-2 1.7999999999999999E-2 1.7000000000000001E-2 1.6E-2 1.2999999999999999E-2 9.6880000000000004E-3 5.5599999999999998E-3 1.4319999999999999E-3 -3.212E-3 -7.8560000000000001E-3 -1.0999999999999999E-2 -1.4999999999999999E-2 -1.7000000000000001E-2 -1.9E-2 -0.02 -0.02 -1.9E-2 -1.6E-2 -1.4E-2 -9.7479999999999997E-3 -5.9639999999999997E-3 -1.32E-3 2.98E-3 6.9360000000000003E-3 1.0999999999999999E-2 1.4E-2 1.6E-2 1.7000000000000001E-2 1.7999999999999999E-2 1.7000000000000001E-2 1.6E-2 1.2999999999999999E-2 0.01 6.5919999999999998E-3 2.464E-3 -1.6639999999999999E-3 -6.136E-3 -9.92E-3 -1.4E-2 -1.6E-2 -1.7999999999999999E-2 -1.9E-2 -1.9E-2 -1.7999999999999999E-2 -1.6E-2 -1.2999999 999999999E-2 -0.01 -5.9639999999999997E-3 -2.0079999999999998E-3 2.464E-3 6.4200000000000004E-3 0.01 1.2999999999999999E-2 1.4999999999999999E-2 1.7000000000000001E-2 1.7999999999999999E-2 1.7000000000000001E-2 1.6E-2 1.4E-2 0.01 6.5919999999999998E-3 2.8080000000000002E-3 -1.6639999999999999E-3 -5.62E-3 -9.7479999999999997E-3 -1.2999999999999999E-2 -1.6E-2 -1.7999999999999999E-2 -1.9E-2 -1.9E-2 -1.9E-2 -1.7000000000000001E-2 -1.4E-2 -1.0999999999999999E-2 -7.3400000000000002E-3 -2.8679999999999999E-3 1.088E-3 5.5599999999999998E-3 9.1719999999999996E-3 1.2999999999999999E-2 1.4999999999999999E-2 1.7000000000000001E-2 1.7999999999999999E-2 1.7000000000000001E-2 1.6E-2 1.4E-2 1.0999999999999999E-2 7.796E-3 4.0119999999999999E-3 -2.8800000000000001E-4 -4.5880000000000001E-3 -8.3719999999999992E-3 -1.2E-2 -1.4999999999999999E-2 -1.7000000000000001E-2 -1.7999999999999999E-2 -1.9E-2 -1.7999999999999999E-2 -1.7000000000000001E-2 -1.4E-2 -1.0999999999999999E-2 -7.3400000000000002E-3 -2.8679999999999999E-3 1.088E-3 5.0439999999999999E-3 9.1719999999999996E-3 1.2E-2 1.4999999999999999E-2 1.7000000000000001E-2 1.7999999999999999E-2 1.7999999999999999E-2 1.6E-2 1.4999999999999999E-2 1.2E-2 8.3119999999999999E-3 4.1840000000000002E-3 5.5999999999999999E-5 -4.4159999999999998E-3 -8.7159999999999998E-3 -1.2E-2 -1.4999999999999999E-2 -1.7000000000000001E-2 -1.9E-2 -0.02 -1.9E-2 -1.7999999999999999E-2 -1.4999999999999999E-2 -1.2999999999999999E-2 -8.7159999999999998E-3 -4.7600000000000003E-3 -1.16E-4 4.0119999999999999E-3 7.796E-3 1.2E-2 1.4E-2 1.7000000000000001E-2 1.7000000000000001E-2 1.7999999999999999E-2 1.7000000000000001E-2 1.4999999999999999E-2 1.2E-2 8.9999999999999993E-3 5.3880000000000004E-3 9.1600000000000004E-4 -3.212E-3 -7.5119999999999996E-3 -1.0999999999999999E-2 -1.4999999999999999E-2 -1.7000000000000001E-2 -1.9E-2 -0.02 -1.9E-2 -1.7999999999999999E-2 -1.4999999999999999E-2 -1.2999999999999999E-2 -9.2320000000000006E-3 -5.104E-3 -9.7599999999999998E-4 3.6679999999999998E-3 7.6239999999999997E-3 1.2E-2 1.4999999999999999E-2 1.7000000000000001E-2 1.7999999999999999E-2 1.7999999999999999E-2 1.7999999999999999E-2 1.6E-2 1.4E-2 0.01 6.2480000000000001E-3 2.1199999999999999E-3 -2.3519999999999999E-3 -6.4799999999999996E-3 -1.0999999999999999E-2 -1.4E-2 -1.7000000000000001E-2 -1.9E-2 -0.02 -0.02 -1.9E-2 -1.7000000000000001E-2 -1.4E-2 -1.0999999999999999E-2 -6.9959999999999996E-3 -2.3519999999999999E-3 1.9480000000000001E-3 6.4200000000000004E-3 0.01 1.4E-2 1.6E-2 1.7999999999999999E-2 1.7999999999999999E-2 1.7999999999999999E-2 1.7000000000000001E-2 1.4E-2 1.0999999999999999E-2 7.4520000000000003E-3 3.1519999999999999E-3 -1.1479999999999999E-3 -5.62E-3 -9.5759999999999994E-3 -1.2999999999999999E-2 -1.6E-2 -1.9E-2 -0.02 -0.02 -0.02 -1.7999999999999999E-2 -1.4999999999999999E-2 -1.2E-2 -7.8560000000000001E-3 -3.5560000000000001E-3 1.088E-3 5.3880000000000004E-3 9.5160000000000002E-3 1.2999999999999999E-2 1.6E-2 1.7999999999999999E-2 1.9E-2 1.9E-2 1.7000000000000001E-2 1.6E-2 1.2E-2 8.9999999999999993E-3 4.8719999999999996E-3 5.7200000000000003E-4 -4.0720000000000001E-3 -8.5439999999999995E-3 -1.2E-2 -1.6E-2 -1.7999999999999999E-2 -0.02 -0.02 -0.02 -1.9E-2 -1.6E-2 -1.2999999999999999E-2 -9.0600000000000003E-3 -4.9319999999999998E-3 -1.16E-4 4.1840000000000002E-3 8.1399999999999997E-3 1.2E-2 1.4999999999999999E-2 1.7000000000000001E-2 1.9E-2 1.9E-2 1.7999999999999999E-2 1.6E-2 1.4E-2 0.01 6.2480000000000001E-3 1.776E-3 -2.3519999999999999E-3 -6.9959999999999996E-3 -1.0999999999999999E-2 -1.4999999999999999E-2 -1.7000000000000001E-2 -1.9E-2

Time (s)

Position x (m)

Y vs. X

X

Y