(1) Compare the Period equation governing the motion and the general equation for a straight line to explain why the graph you made will in fact be a straight line. Use this comparison to show what the value of the slope should be in terms of "g" and "r". What should the y-intercept of your graph be? L T=2π - g -Period equation y = mx + c General equation Periods of Oscillation for Different lengths Period Squared (2) 3.5 2.5 1.5 0.5 1 2 3 0 ò 0.4 0.5 0.6 0.7 0.8 0.9 Pendulum Length (m)

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter5: Gravitation
Section: Chapter Questions
Problem 5.15P
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University Physics 1 - Gravitation & Oscillation

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A Simple Pendulum Lab (Image shown below)

(1) Compare the Period equation governing the motion and the general equation for a straight line to
explain why the graph you made will in fact be a straight line. Use this comparison to show what the
value of the slope should be in terms of "g" and "r". What should the y-intercept of your graph be?
L
T=2π
-
g
-Period equation
y = mx + c General equation
Periods of Oscillation for Different lengths
Period Squared (2)
3.5
2.5
1.5
0.5
1
2
3
0 ò
0.4
0.5
0.6
0.7
0.8
0.9
Pendulum Length (m)
Transcribed Image Text:(1) Compare the Period equation governing the motion and the general equation for a straight line to explain why the graph you made will in fact be a straight line. Use this comparison to show what the value of the slope should be in terms of "g" and "r". What should the y-intercept of your graph be? L T=2π - g -Period equation y = mx + c General equation Periods of Oscillation for Different lengths Period Squared (2) 3.5 2.5 1.5 0.5 1 2 3 0 ò 0.4 0.5 0.6 0.7 0.8 0.9 Pendulum Length (m)
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