2009_Spring_P1112_Lab_03_Prelab

2009_Spring_P1112_Lab_03_Prelab - Lab Section Name Grade...

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Lab Section: ______ Name: ______________________________ Lab Instructor: ______________________________ Grade: ______ P1112 Lab Notes Pre-lab 3-1 Cornell University, Spring 2009 Lab Unit # 3 Pre-lab Questions: Force Laws 1. A spring of stiffness 1 k is connected in PARALLEL with a spring of stiffness 2 k . What is the effective spring constant p k of this combination? Derive an expression for p k in terms of 1 k and 2 k . [HINTS: Assume that a force of magnitude F pulls at both ends of the parallel combination, stretching both springs by the same amount x . The magnitude of this force F equals the sum of the magnitudes of tension forces 1 F and 2 F due to the individual springs. Start with x k F p = , where x is the extension of the combination of springs, and then express this in terms of 1 F and 2 F . How is p k related to 1 k and 2 k ?] 2. A spring of stiffness 1 k is connected in SERIES with a spring of stiffness 2 k . What is the effective spring constant s k of this combination? Derive an expression for s k in terms of 1 k and 2 k .
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