Introduction to terms used LO (c)
https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHM04/SHM04_Simulation.xhtml |
Run Model
https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHMxva/SHMxva_Simulation.htmlQ1: Consider an object P oscillating between point A and B about the origin (0,0), assuming the usual Cartesian Coordinate System apply. Observe the Model and suggests possible meaning of the following points with the most suitable descriptions.
central equilibrium position
instantaneous position
maximum amplitude m
minimum amplitude m
Given the equation x = x0 sin ( ω t ) can describe SHM, suggests the usual symbols associated to the physical quantity
central equilibrium position
instantaneous position or displacement given by vector OP m
maximum amplitude m
minimum amplitude m
time taken for one complete oscillation, for example Path from O→A→O→B→O s
number of oscillations performed per unit time 1/s. Hence, f and T are related by the equation
angular frequency rad/s. Since one complete oscillation is 2π radians, ω and f are related by ω = 2π f
Example
The displacement of a spring mass system from a fixed point is as shown. From the graph, determine the
(a) amplitude,
(b) period,
(c) frequency,
(d) angular frequency, of the oscillations.
[2.00 m, 6.28 s, 0.159 Hz, 1.00 rad s–1]
Run Model:
https://dl.dropboxusercontent.com/u/44365627/lookangEJSworkspace/export/ejss_model_SHM04/SHM04_Simulation.xhtml
Q1: run model with different starting y to explore the meaning of amplitude
Q2: run model with different mass m and spring constant k to explore different period T, frequency f and angular frequency ω
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