Question

of gle m. he He 3.2 A light wooden uniform metre rule was that a length L of the metre rule was 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. to the surface of a bench so clamped hanging over the edge. The overhanging D (mm) L (mm) 2.0 200 6.0 300 13.0 400 28.0 500 49.0 600 75.0 700 109.0 800 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. ho following data:

Answer 1

taking log we get

log(D) log(K) +n log(L)

taking log(D) on y axis

and log (L) on x axis

intercept = log(K)

slope = n

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slope = n = 2.9244

K = 10^(-6.4525) = 0.0000003528

D = 0.0000003528 L^2.9244

at L = 100

D = 0.2490577

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