Answer to Question #202922 in Classical Mechanics for prince

Question

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) 200 300 400 500 600 700 800

D (mm) 2.0 6.0 13.0 28.0 49.0 75.0 109.0

Assume that D = KLⁿ, 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. 

Answer 1

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