The phrase "It is the dead not the living who make the longest demands" means that the dead often leave behind significant legacies or requests that the living must attend to, which can be both burdensome and time-consuming.
What this phrase means is that people who have passed on and are no longer living often leave behind unfinished businesses, unresolved conflicts, unsettled debt, incomplete projects, and so on. These unfinished tasks may need to be resolved by the living, and they may take a long time to complete.In contrast, the living's requests are often short-lived and changeable. Their needs can be met through interactions with others, but the dead's requests are usually more significant and long-lasting.
This phrase highlights the concept that the dead demand a lot more attention than the living. It also suggests that we should try to deal with any unfinished business while we are still alive so that we don't burden those we leave behind.
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Make a plot of hardness vs. % reduction in thickness, assuming that % reduction varies linearly across the width of the specimen from 0 at the edge to 50% at the center.
To make a plot of hardness vs. % reduction in thickness, assuming that % reduction varies linearly across the width of the specimen from 0 at the edge to 50% at the center, follow the steps below:
Step 1: Take a specimen whose width is 50 mm. The reduction varies linearly across the width of the specimen from 0 at the edge to 50% at the center. Therefore, the reduction at a distance x from the edge is given by the equation: Percent reduction (ε) = 50 - (2 * x)
Step 2: From the given data, we know that hardness is directly proportional to the percent reduction in thickness. Therefore, we can write the hardness (H) as:Hardness (H) = k x Percent reduction (ε)where k is the constant of proportionality.
Step 3: Substitute the value of percent reduction (ε) in the above equation to get:Hardness (H) = k x (50 - 2x)
Step 4: Simplify the above equation to get it in the form of y = mx + c, where y is the dependent variable (hardness), x is the independent variable (% reduction in thickness), m is the slope of the line, and c is the y-intercept.Hardness (H) = -2kx + 50k
Step 5: Now we can plot the graph of hardness vs. % reduction in thickness using the equation derived in step 4. The graph will be a straight line passing through the point (0, 50k) and having a slope of -2k. The x-axis represents the % reduction in thickness, and the y-axis represents the hardness.
The graph will look like this: Hardness vs. % reduction in thickness plot
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