Simple Harmonic Motion Dominic Stone Lab Partner

Experiment 1 Simple Harmonic Motion Dominic Stone research lab graphic symbolner Andrew Lugliani January 9, 2012 Physics 132 Lab Section 13 Theory For this experiment we investigated and learned about naive harmonic question. To do this we hung and measured different great deal on a fountain-mass system to exercise the legions unceasing k. Simple harmonic motion is a special type of boundic motion. It is best describe as an oscillation motion that causes an object to black market back-and-forth in response to a restoring force assumption by Hookes Law 1) F=-kx Where k is the force constant. consequently development devil different surgical procedures, we calculate the value of the force constant k of a throttle in our oscillating system. We observed the period of oscillation and use this formula 2) T=2(m/k) Then we reduced the equation to solve for the value of k by 3) k=42/ ramp Slope represents the careen of the graph in procedure B. k is then the measure of the s tiffness of the resile. We back then compare k to that of a vertically stretched spring with various masses M. By using the following equation 4) Mg=kx Where x is the surpass of the stretch in the spring.To find the value of the constant k we take the data from procedure A and graph it. Using this graph, we use equation 5) k=g/ angle We can compare the two values of the constant k. Both values should be exact since we used the same spring in both procedures. Here simple harmonic motion is used to calculate the restoring force of the spring-mass system. Procedure Part A First, we set up the experiment by suspending the spring from the support mount and measured the standoffishness from the lower end of the spring to the floor.After, we hung hundred grams from the spring and measured the new distance created from the stretch of the spring. We then repeated this step for masses cc to gigabyte grams, by increasing the weight by 200 grams distributively time. Then we took this dat a and plotted them on a graph with suspended weight Mg versus elongation x. After plotting this data we were then able-bodied to evaluate the force constant k from the slope of the graph. Part B First, we suspend 100 grams from the spring and let it lay at rest.When the spring was of course set in its equilibrium position, we slightly pulled fine-tune the weight and recorded the time it took for the weight to manage 10 oscillations and calculated the average period of each oscillation. We then repeated this put to work for masses 100 to 1000 grams by increasing the weight by 100 grams each time. After we completed this process we plotted a graph of T2 verses suspended mass m with the data. When then put in the intercept at T2=0 to see how it would compare with the value of negative trey the mass of the spring.We then also determined the spring constant k by calculating the slope of the graph and compared it with the spring constant k in part B. Data Part A Mg(Kg/s2) X(m) 1. 9 6 0. 39 3. 92 0. 63 5. 88 0. 86 7. 84 1. 11 9. 8 1. 36 Part B M(Kg) T (s) T(s) T2(s2) 0. 1 8. 24 0. 824 0. 679 0. 2 9. 87 0. 987 0. 974 0. 3 12. 74 1. 274 1. 623 0. 4 14. 57 1. 457 2. 123 0. 5 16. 23 1. 623 2. 634 0. 6 17. 49 1. 749 3. 059 0. 7 19. 21 1. 921 3. 69 0. 8 20. 26 2. 026 4. 105 0. 9 21. 69 2. 169 4. 705 1 22. 89 2. 289 5. 24 Data Analysis