SimpleHarmonicMotion

# SimpleHarmonicMotion - SIMPLE HARMONIC MOTION OBJECTIVE To...

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1 OBJECTIVE To calculate the spring constant ‘k’ of a spring by using Hooke’s Law and N2L and compare the results. EQUIPMENT 1. 2-support rods and clamp 2. spring 3. masses and hanger 4. stopwatch 5. 2-m stick 6. Triple-Beam Balance THEORY I . Using Hooke’s Law Consider a spring suspended vertically in its equilibrium position. Suppose you add a mass ‘m’ to the end of the spring that displaces the spring an amount ‘x’ from equilibrium. x m m F s m g x Applying N2L gives: 0 x Fm g k x mg kx =− = = 1. The graph of mg vs. x will give a straight line with the slope of the line equal to the spring constant ‘k’. 2. We will take this value of ‘k’ to be the expected value. SIMPLE HARMONIC MOTION

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2 II . Using N2L Suppose you add a mass ‘m’ to the end of a suspended vertical spring. The mass displaces the spring an amount ‘x 1 ’ from equilibrium. In this position the mass is in equilibrium. Consider displacing the spring an amount ‘x’ from the new equilibrium position.
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SimpleHarmonicMotion - SIMPLE HARMONIC MOTION OBJECTIVE To...

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