The following paper will talk about Hooke’s law and majorly about the relationship between linear and non linear. The paper will first explain the principal of Hooke’s law in the simplest manner then we will talk about the relationship between these two types.
In layman language, a plot of an applied force vs. Elongation namely X for a given helical spring) this is the red line in the image) and the dotted lies depict what the actual plot will most probably look alike. The springs at the bottom of the table sow different stages of the spring and the middle position depicts the position of rest (Khan, 2013).
Now for understanding this relationship between liner and non-linear it can b understood that the shorter and the longer strings strictly obey the Hooke’s law whereas on the other hand, rubber bands do not follow the Hooke’s law. This is so because the graph for the shorter and longer springs for the best fit line has a linear line whereas the best fit line for rubber is not at all linear. The law clearly states that elongation in spring is directly proportional to the force. Hence, the graph is required to be linear.
As we have already told that the graph for long and short springs is linear that is why they obey the law but a rubber has non liner line that is why it does not follow the Hooke’s law (Enns, 2014).
Enns, R. H. (2010). It’s a Nonlinear world. Retrieved from https://books.google.co.in/books?id=gvjVXl3FR0IC&pg=PA30&lpg=PA30&dq=What+is+the+relationship+between+Hooke%27s+Law+linear+and+non-linear?&source=bl&ots=YiPWGvma0y&sig=V0Y4XzxvkAmpNykU0E96Ck_q5_Y&hl=en&sa=X&ved=0ahUKEwintMPE5YrPAhVItJQKHSCgBpIQ6AEIQzAG#v=
Khan. (2013). Khan academy. Retrieved September 14, 2016, from https://www.khanacademy.org/science/physics/work-and-energy/hookes-law/a/what-is-hookes-law
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