Question

The point of maximum compression is:


(A) c
(B) g
(C) e
(D) k

Answer 1

Hint: To answer this question we should be first knowing the meaning of compression. From the definition we can find out at which point the body that is shown faces the maximum compression. Moreover, we also have to take into consideration that change in the signs of the coordinate in the graphical movement that is portrayed in the graph.

Complete step by step answer:
By compression we know that the body will suffer an effect on the normal formation of the graph. This change will surely affect the body’s movement on a specific coordinate of the graph.
In this case at point a, the body is beginning its graphical formation, so this is the initial point and it has to be zero.
In point b the body gradually develops a motion towards the positive gradient of the S-X graph.
At point c the body further moves ahead and gradually develops a motion towards the positive gradient of the S-X graph.
At point d we see a similar movement of further covering distance by the body towards the positive gradient of the S-X graph.
At the point e we see a downward slope of the movement but the graph is still in the positive gradient of the S-X graph, so compression still did not occur.
At the point f we see the download slope continues but the graph is still in the positive gradient of the S-X graph, so compression still did not occur.
At the point g the graph finally changes the gradient of the S-X graph. So this the point that the body will be facing the maximum compression, since the change in gradient is possible for the graph.
In the points h, i, and k we see the movement of the graph towards the other gradient, but still in the negative portion of S-X graph, so no compression.
At the end we see the point k is in the middle way of the two gradients of the coordinates, but since it has not crossed the line, we cannot say the compression is maximum there.
Hence from the above explanation we can say that The point of maximum compression is g.

Hence option B is the correct answer.

Note: We have come across the term compression. So we need to define that for a better understanding. Compression signifies the application of the balanced inward acting forces to various points on a material or on a structure. This results in the summation of the forces with no net force directing to the reduction in the size of the object in one more than one direction.