A light wooden uniform metre rule was clamped to the surface of a bench so that a length L of the metre rule was hanging over the edge. The overhanging end of the metre rule was loaded with a mass and the depression D produced at the loaded end was measured. Values of D were obtained for different lengths L. L (mm) D (mm) 200 2.0 300 6.0 400 13.0
A light wooden uniform metre rule was clamped to the surface of a bench so that a length L of the metre rule was hanging over the edge. The overhanging end of the metre rule was loaded with a mass and the depression D produced at the loaded end was measured. Values of D were obtained for different lengths L. L (mm) D (mm) 200 2.0 300 6.0 400 13.0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A light wooden uniform metre rule was clamped to the surface of a bench so
that a length L of the metre rule was hanging over the edge. The overhanging
end of the metre rule was loaded with a mass and the depression D produced
at the loaded end was measured. Values of D were obtained for different
lengths L.
L (mm)
D (mm)
200
2.0
300
6.0
400
13.0
500
28.0
600
49.0
700
75.0
800
109.0
Assume that D = KL", where K and n are constants, and draw a graph that
would enable you to determine the values of n and K. Use a linear regression
analysis of the data to fit the best straight line through the data and determine
the value of D for L = 100 mm from the graph.
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