Question

3. It is often convenient to represent experimental data in graphical form. This can be used as an averaging of data and Force Displacement also to obtain additional information. Assume that a spring stretches with the following relationships of Force to Displacement: a) Plot the data using the horizontal x-axis for the displacement (lb) 2.5 7.5 12.0 b) Draw a straight line through the data approximating the best 165 19.0 25.0 32.0 (in) .05 and the vertical y-axis for the force. fit. This provides an averaging effect of the data. for which the graph becomes the hypotenuse, and calculate .10 15 .20 .25 .30 .40 c) Determine the slope of the line by drawing a large triangle the ritio of the two sides, Δy/Ax

Answer 1

we can also find deltay / delta x by this way,

We can also find delta y/delta x by this way, lets estimate coordinate of one end of line = (x1, y1) = (0.05, 4) coordinate of other end = (x2. Y2) = (0.4.estimate coordinate of one end of line = (x1, y1) = (0.05, 4) coordinate of other end = (x2. Y2) = (0.4.32) then, slope = delta y/delta x = y_2 - y_1/x_2 - x_1 = 32 - 4/0.4 - 0.05 = 80 Ib/In We get the approximate the same result.

lets estimate coordinate of one end of line = (x1,y1) = (0.05 , 4 )

coordinate of other end = (x2,y2 ) = (0.4, 32)

then, slope =  

We get the approximate the same result.