As determined by Robert Hooke in the 17th century, the equation for this force is given by: . This equation explains the proportional relationship between the force enacted upon the spring and the length of which it was displaced or stretched. ... By replacing Fs , in Hooke's equation, with ma since , Newton's Second Law of Motion, gives ma = -kx or . This new equation is a general characteristic of simple harmonic motion where acceleration is proportional to the displacement and oppositely directed. ... Since the downward motion of the system is equivalent to the horizontal mot...

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Problem Statement: In this case, I was tasked to analyze a truss system. ... After this, I used the equilibrium equations to solve for the unknown reaction forces (see appendices A and B). ... From this, I came up with my general equations for both parts of the problem. ...

• Word Count: 753
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• Grade Level: High School