Solving a Simple Harmonic Motion Problem

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SUMMARY

The discussion focuses on solving a simple harmonic motion problem defined by the equation A = A sin(wt + π/3), where w = π radians per second and A = 7.6 m. The objective is to determine the phase of motion at t = 2.6 seconds. By substituting the values into the equation, the phase can be calculated as π/3 + π(2.6) = 2.6π + π/3, resulting in a definitive phase value in radians.

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  • Understanding of simple harmonic motion principles
  • Familiarity with trigonometric functions and their properties
  • Knowledge of radians and their conversion to degrees
  • Ability to manipulate algebraic equations
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  • Learn about the significance of phase in oscillatory systems
  • Explore the application of trigonometric identities in motion problems
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Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators looking for examples of simple harmonic motion problems.

stacerho
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I can't figure out what the heck I need to do for this problem.


3) A body oscillates with simple harmonic motion along the x-axis. Its displacement varies with the time according to the equation A=A sin (wt+ pi/3)

Where w=pi radians per second, t is in seconds, and a= 7.6m.
What is the phase of motion at t=2.6s? Answer in units of rad.
 
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Again, please show some working/effort.
 

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