Generating Graphs with Maple: Calculating F_o, w_o and w

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SUMMARY

The discussion focuses on generating graphs using the Maple software by calculating the parameters F_o, w_o, and w in the equation of beat: x(t) = [2F_o/(m(w_o^2 - w^2))]sin((w_o - w)t/2)sin((w_o + w)t/2). The recommended values for these parameters are F_o = 5, m = 1, w = 2π, and w_o = 2π - 1/2. Users are advised to plot the graph from 0 to 20π to visualize the results effectively.

PREREQUISITES
  • Understanding of the equation of beat in wave mechanics
  • Familiarity with Maple software for plotting graphs
  • Basic knowledge of trigonometric functions and their properties
  • Concept of frequency in oscillatory systems
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  • Explore advanced graphing techniques in Maple
  • Learn about the impact of varying F_o, w_o, and w on wave behavior
  • Investigate the mathematical derivation of the equation of beat
  • Study the applications of beat frequencies in physics and engineering
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Students and professionals in physics, engineers working with oscillatory systems, and anyone interested in using Maple for mathematical graphing and analysis.

viciado123
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I find the equation of beat:

x(t) = [\frac{2F_o}{m(w_o^2 - w^2)}sin(\frac{(w_o - w)t}{2})]sin(\frac{(w_o + w)t}{2})


What values do I get to F_o, w_o and w to generate the graph ?

I use program maple to plot graph.
 
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Well, you want the frequencies to be sort of close. Try F0= 5, m = 1,w=2pi, w0=2pi-1/2 and plot it from 0 to 20pi.
 
LCKurtz said:
Well, you want the frequencies to be sort of close. Try F0= 5, m = 1,w=2pi, w0=2pi-1/2 and plot it from 0 to 20pi.

Thank you
 

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