1) An oscillation is a physical phenomenon characterized by the fact that the configuration of a physical system repeats (or almost repeats) itself over and over again. Simple harmonic oscillations are a special case of this. An oscillation is simple harmonic if the period (the time for one cycle) does not depend on the amplitude (the maximum displacement from equilibrium.)
In the following set, identify the oscillations that are simple harmonic, the ones that are approximately simple harmonic, and the ones that are not simple harmonic. Feel free to comment on why/how you make your identifications.
2) A 0.100 kg mass is oscillating on a vertical spring of spring constant 200 N/m. The mass moves up and down a total of about .16 m as it oscillates. For this system, estimate the
What could you do if you wanted the period to be twice as long?
Suppose the mass stops oscillating and is just hanging, at rest, from the spring. Does the mass-spring system have any gravitational potential energy then? Does it have any spring potential energy then? (We'll discuss these points in class!)
(In-class Physlet activity)
3) One way to characterize simple harmonic motion is to say it is the motion that results when an object is subjected to a restoring force that is proportional to the object's displacement from its equilibrium position. For an object whose mass is constant, we know that Newton's second law says the force F_{net} = ma = m d^{2}x/dt^{2}. Thus, for simple harmonic motion, if x represents the displacement from equilibrium, we can say:
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I received no help from anyone on this assignment. I received help from someone on this assignment (document in comments section).