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PHYS 151Q.005 2-14-2008

PHYS 151Q.005 2-14-2008 - [usually in meters is the...

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Day 9 Wed 2/14/2008 PHYS 151Q.005 Free Body Diagrams Continued
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Spring Force – Hooke’s Law In physics, Hooke's law of elasticity is an approximation that states that the amount by which a material body is deformed (the strain) is linearly related to the force causing the deformation (the stress). Materials for which Hooke's law is a useful approximation are known as linear-elastic or "Hookean" materials. For systems that obey Hooke's law, the extension produced is directly proportional to the load: where is the distance that the spring has been stretched or compressed away from the equilibrium position, which is the position where the spring would naturally come to rest
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Unformatted text preview: [usually in meters], is the restoring force exerted by the material [usually in newtons], and is the force constant (or spring constant ). The constant has units of force per unit length (usually in newtons per meter ). When this holds, we say that the behavior is linear. If shown on a graph, the line should show a direct variation. There is a negative sign on the right hand side of the equation because the restoring force always acts in the opposite direction of the x displacement (when a spring is stretched to the left, it pulls back to the right)....
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