THE SPRING FORCE AND SIMPLE HARMONIC MOTION To measure and study various characteristics of a mass/spring...
THE SPRING FORCE AND SIMPLE HARMONIC MOTION
To measure and study various characteristics of a mass/spring system, including the spring constant and the dependence of the oscillation frequency on the amplitude of oscillation.
i) You will measure the spring constant using two different methods: static and dynamic.
ii) You will investigate the dependence of frequency on the
amplitude of oscillations.
1. Write the equation that relates the applied force (not the spring force) on a spring to the displacement from equilibrium of the spring.
2. What is the mathematical relationship between the applied force and the displacement? (Describe with one word the type of relationship.)
3. Based on your answer to the previous part, if you were to measure the displacement x from equilibrium of the mass for different applied forces F and then plotted F vs x, what fitting parameter would be related to the spring constant?
4. What is the mathematical relationship between that fitting parameter and the spring constant?
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THE SPRING FORCE AND SIMPLE HARMONIC MOTION
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