Simple Harmonic Motion Lab Report

There are four variables. You need to do at least two of these variables yourself. The more the better. You may use results from another group for the other variables, but make sure to get their data and give due credit.

Abstract

Summarize the entire report. Briefly mention the procedure. Mention your results.

Theoretical Introductory Material:

Simple Harmonic Motion Explanation

Repetitive Motion, Frequency, Period

Sine waves

Pendulums:

Forces on a pendulum (tension and gravity)

Period of a pendulum formula

Derivation of the period of a pendulum formula

Dependence on mass, angle, length, and gravity

Angle approximation where Sin θ= θ

Energy in a pendulum system (kinetic and gravitational potential)

Include historical details

**Include modeling results from computer simulations!!!!!!!!! **

Procedure

Include a picture here.

Mention what variables you changes (such as mass)

Mention how you set-up pendulums and measured periods.

Mention what variables you changes (such as mass, length, angle, gravity)

Analysis

Table of data for a single mass and single angle at four different lengths.

Graph of data for period vs Square Root of length. Do a linear best fit. Interpret this.

Graph of data for Length vs Period. Do a quadratic fit. Interpret this.

Graph of data for period vs Square Root of gravity. Do a linear best fit. Interpret this.

Graph of data for Gravity vs Period. Do a quadratic fit. Interpret this.

Table of data for a single mass and single length at five different angles. Interpret this. Mention what approximations were made. In particular, what happens at large angles. According to theory, the period should be constant, if not, explain what errors there are.

Table of data for a single angle and single length at five different masses. Interpret this. The period should not vary with mass. If it does, explain your errors. Do the magnitude of the errors make sense?

Conclusion

What has been shown by your experiments. What problems were there. How could you have improved each of these experiments.

Appendix

Make sure to include your diagrams, bibliography, etc.

Galileo and Huygens can be credited with most of the work on pendulum based clocks.

Galileo Project is a nice introduction

Stillman Drake also has a great historical text on Galileo Preview on Google Books and in Mugar QB36.G2 D69

If you actually know Latin, http://archive.org/details/leoperedigalile07vivigoog

Paul Murdin has an interesting text

Huygens did a lot of work with developing clocks from a pendulum