# It will probably work best to start the ball rolling

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Unformatted text preview: inches, but one is solid while the other is hollow, so their moments of inertia have different geometrical factors fI . 1. Type your dish number into the appropriate cell on your lab report. The radius of curvature of the dish should appear. 2. Use the same LoggerPro setup that you used in Experiments 1-2. 3. Record ﬁve successive periods of the ball’s oscillation using LoggerPro. You can do this using the LoggerPro template ball and dish.cmbl. It may take a little practice to get the ball to roll cleanly for ﬁve complete cycles without hitting the photogate. It will probably work best to start the ball rolling about halfway from the center of the dish. 4. Record the periods of oscillation in your lab report. 5. Find the mean of your measurements. Using Equation 2, convert the mean period to an angular frequency, ω . 6. Repeat steps 3-5 using the ping-pong ball. 7. Calculate theoretical angular frequencies of oscillation for the two balls using Equation 15. 98 Problem 10.17 Why do you observe a signiﬁcant difference in the periods of the steel ball and ping-pong ball? Consult Equation 15 to help explain your answer. Problem 10.18 How would the following sources of error affect your measured oscillation frequencies for a hypothetical ball-in-dish (if at all)? Write a one-sentence explanation for each. Write another sentence describing whether the source of error would affect one ball more than the other (solid vs hollow sphere) and, if so, why. Note that you should assume the smallangle approximation still holds. (a) The radius of the ball is slightly less than measured. (b) You give the ball a slight push as you let it go, while the ball remains to roll without slipping. (c) The force of friction is not enough to prevent the ball from slipping, however the energy losses to friction are negligible in comparison to the total energy. (d) The scale measures the ball to be more massive than it actually is. 99...
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## This note was uploaded on 09/13/2011 for the course ECONOMICS 101 taught by Professor Gerson during the Spring '11 term at University of Michigan.

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