An engineer needs to know how far a long beam will sag under a load. The table shows some results:
LOAD(N): 1000 2000 3200 4400 5200 6500
SAG(cm): 2.0 4.0 6.6 8.8 10.4 13.4
a) one of the measurements for a sag is wrong.
which? What should the result be?
b)What would be the sag for a load of 4500N?
c)What load would give a sag of 5.2 cm?
d)Would a longer beam sag more or less? Sketch a graph ?
i dont know i want the answers
a) To identify which measurement is wrong, we can plot a graph of the load (N) versus sag (cm) and look for any anomalies. We can draw a line connecting the data points and see if there is any point that deviates significantly from the trend. In this case, if we draw a line connecting the given data points, we can observe that the last point (6500N, 13.4 cm) is not aligned with the rest of the data. Therefore, the measurement for a sag of 13.4 cm for a load of 6500N is likely incorrect.
To determine the correct result, we can use the linear trend formed by the other data points.
b) To find the sag for a load of 4500N, we can use the linear trend formed by the given data points. We can interpolate using the equation of the line or approximate the sag by finding the slope of the line and using it to estimate the sag for the given load.
c) To find the load that would give a sag of 5.2 cm, we can reverse the process and interpolate using the linear trend. We can determine the load corresponding to the sag by finding the x-coordinate (load) on the graph for a given y-coordinate (sag).
d) A longer beam would generally sag more under the same load. This is because the weight of the beam itself contributes to the sag, and a longer beam would have more weight acting on it. To sketch a graph showing the relationship between beam length and sag, you can plot sag (y-axis) against beam length (x-axis).