PHY133-06-SHM

# PHY133-06-SHM - PHYSICS 133 EXPERIMENT 7 SIMPLE HARMONIC...

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PHYSICS 133 EXPERIMENT 7 SIMPLE HARMONIC MOTION Introduction In this lab, we study the phenomenon of simple harmonic motion for a mass-and-spring system and for a variety of pendulums. In a linear mass-spring system, the physical basis for this kind of motion is that the restoring force F exerted on a mass m that has been displaced a distance x from equilibrium must be proportional to – x . This relationship may be written F = - kx (1) where k is a constant that characterizes the stiffness of the spring. A large value of k would indicate that the spring is difficult to stretch or compress. In the case of a simple pendulum, there is no spring, and k is replaced by the quantity ( mg/L ) , where m is the mass of the pendulum bob, g is the acceleration due to gravity, L is the length of the pendulum, and x represents the (small) lateral displacement of the bob. Eq. (1) can be generalized to represent other physical situations. For example, the displacement might be given in terms of an angle, in which case the restoring variable would be a torque. See your textbook for examples. Using Newton’s second law,

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PHY133-06-SHM - PHYSICS 133 EXPERIMENT 7 SIMPLE HARMONIC...

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