The force exerted on the ground during human locomotion is a periodic function of time.  The following video illustrates the correspondence between different components of a human stride while running and the graph of force as a function of time.


Other examples can be found on the website of the Skeletal Biology Lab at Harvard University.


In this project of the textbook you are asked to construct a mathematical model for the force exerted on the ground as a function of time using periodic extensions of the cosine function. Problem 3 of this project then asks you to explore the function

latex-image-1


The following animation allows you to explore the graph of this function for different values of q.


References

Biomechanics video was kindly supplied by Dr. Daniel E. Lieberman.


© James Stewart and Troy Day, 2014
Published to http://www.mast.queensu.ca/~tday/
Last updated Mar 28, 2014, 3:10 PM
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