In other words, when an object that obeys Hooke’s Law deforms, its change in length will be directly proportional to the force acting upon it ( 57). This is derived by rearranging the aforementioned formula to k = F/ x, where F is change in force and x is change in length ( 51). The proportionality constant, k, is also known as the spring constant, and it describes the stiffness of an ideal spring mass system ( 12). Hooke’s Law is defined as F = kx, where F is the force required to deform an object, k is the proportionality constant and x is the distance the object is deformed ( 12). The term stiffness originated in physics, as part of Hooke’s Law. In its simplest sense, stiffness describes the relationship between a given force and the magnitude of deformation of an object or body ( 9,12).
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