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Unformatted text preview: ulate the mean period for each of your six string lengths.
8. Convert your mean periods to angular frequencies using Equation 2.
9. Using Equation 8, calculate the theoretical values of ω for each of the six string lengths.
10. Remove your pendulum bob and choose another one made out of a different material. Record
the mass of this second bob in your lab report.
11. Repeat steps 1-9 for this new bob.
12. A graph will appear that plots ω 2 vs. 1/l for both pendulum bobs. Using the Excel Trendline
function, create linear ﬁts for these two plots. See Appendix A Section 2.4 for the procedure
and be sure to display the ﬁt equation on the graph. Use your ﬁt parameters to calculate an
experimental measurement of g for each of the two sets of data. 97 Problem 10.13 Does the angular frequency of oscillation depend on the
mass of the pendulum bob? How can you tell? Does it depend on the length
of the string? If so, does the frequency go up or down as the string length
Problem 10.14 If you used large pendulum displacements rather than
small ones, could you measure g accurately using this method? Why or
why not? If not, would you over- or under-estimate g?
Problem 10.15 If we were on the moon, would the angular frequency for
a given string length be larger or smaller than the one we observe here on
Earth? Why? What would this do to the slope of your plot?
Problem 10.16 If the string were quite heavy (as opposed to your experiment, where the string was assumed massless), how would ω be affected?
Assume that string length and total mass were constant.
Experiment 3: Ball-Dish Oscillator
In this ﬁnal experiment, we will compare measured oscillation frequencies for two balls in a dish
with the theoretical frequency from Equation 15. In the apparatus we will use today, the radius
of curvature of the dish, R, is approximately 18.0 inches. We will roll two different balls on its
surface. Both the solid steel ball and the ping-pong ball have diameters close to 1.50...
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- Spring '11