Discuss hookes law and simple harmonic motion


Assignment:

Review the attached below lab report an answer the following question.

Discussion and Analysis:

This section in your lab report should contain information that provides answers and/or explanations to the following:

1) Graph Force versus displacement for three different springs in Part I. Fit a linear curve to the data. What is the meaning of the slope? What physical characteristic of the mass-spring does it describe? Include the equations of lines with your graphs, and make sure the equations are written in terms of the correct variables. The springs you used have known spring constants of 5 N/m, 7 N/m, and 70 N/m. How do your results compare? Include percent error calculations.

2) Does the spring constant depend on how much force is applied to the spring? What does the data in your experiment suggest about it?

3) Graph T2 vs. m/k for the SHM case. To do this, carry out the following steps:

i. Take the masses in the first column of Table 3, and divide each of them by the experimentally determined value of the spring constant kavg (determined in Table 2), Record these values in the first column of Table 4 below.

ii. Square each of the values in the third column of Table 3 (the values of Texp). Enter these values in the second column of Table 4.

iii. Using the first column in Table 4 as your x-values, and the second column as your y-values, graph the data. Fit a line to this graph, and include the equation in terms of the correct variables.

4) Based on Eq. (2), what do you expect the slope to be equal to? What is the percent error between what you expect the slope to be equal to and what you observed? Include the equation of a line for this graph.

5) Identify sources of error in your experiment.

Attachment:- Hookes Law and Simple Harmonic Motion.rar

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