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Question 7 (10 pts) You are working on a simple oscillations lab related to pendulums. The goal of the lab was to find the period of oscillation of the pendulum but you notice something interesting about the motion. The pendulum does not accurately represent pure SHM. Instead, the motion seems to be damped (likely by friction at the pivot). To go above and beyond for your lab, a.) Come up with a way to find the time constant of the damped oscillation. You may use any tools at your disposal from the lab. If you prefer, you may also consider the setup as a mass on a spring rather than a pendulum. b.) In terms of the measured time constant T, what is the half-life of the oscillation? Show your work.

Question 7 (10 pts) You are working on a simple oscillations lab related to pendulums. The goal of the lab was to find the period of oscillation of the pendulum but you notice something interesting about the motion. The pendulum does not accurately represent pure SHM. Instead, the motion seems to be damped (likely by friction at the pivot). To go above and beyond for your lab, a.) Come up with a way to find the time constant of the damped oscillation. You may use any tools at your disposal from the lab. If you prefer, you may also consider the setup as a mass on a spring rather than a pendulum. b.) In terms of the measured time constant T, what is the half-life of the oscillation? Show your work.

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter16: Oscillations
Section: Chapter Questions
Problem 39PQ: In the short story The Pit and the Pendulum by 19th-century American horror writer Edgar Allen Poe,...
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Question 7 (10 pts) You are working on a simple oscillations lab related to pendulums. The goal of the lab was to find the period of oscillation of the pendulum but you notice something interesting about the motion. The pendulum does not accurately represent pure SHM. Instead, the motion seems to be damped (likely by friction at the pivot). To go above and beyond for your lab, a.) Come up with a way to find the time constant of the damped oscillation. You may use any tools at your disposal from the lab. If you prefer, you may also consider the setup as a mass on a spring rather than a pendulum. b.) In terms of the measured time constant T, what is the half-life of the oscillation? Show your work.
Transcribed Image Text:Question 7 (10 pts) You are working on a simple oscillations lab related to pendulums. The goal of the lab was to find the period of oscillation of the pendulum but you notice something interesting about the motion. The pendulum does not accurately represent pure SHM. Instead, the motion seems to be damped (likely by friction at the pivot). To go above and beyond for your lab, a.) Come up with a way to find the time constant of the damped oscillation. You may use any tools at your disposal from the lab. If you prefer, you may also consider the setup as a mass on a spring rather than a pendulum. b.) In terms of the measured time constant T, what is the half-life of the oscillation? Show your work.
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