Finding the amplitude and phase of two sinusoidal motions

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SUMMARY

The discussion focuses on determining the amplitude and phase of the resultant motion when combining two sinusoidal motions with amplitudes of 3.0 cm and 4.0 cm, differing in phase by π/2 radians. The solution requires the application of trigonometric identities, specifically those related to linear combinations of sinusoidal functions. The user, Zachary, seeks guidance due to a lack of resources, emphasizing the need for foundational understanding in trigonometric principles.

PREREQUISITES
  • Understanding of sinusoidal functions
  • Familiarity with trigonometric identities
  • Basic knowledge of phase differences in wave motion
  • Ability to perform vector addition of amplitudes
NEXT STEPS
  • Study trigonometric identities related to linear combinations
  • Learn about vector addition in the context of wave motion
  • Explore the concept of phase difference in sinusoidal waves
  • Practice problems involving resultant amplitudes and phases of sinusoidal functions
USEFUL FOR

Students in physics, particularly those studying wave motion, as well as educators looking for examples of combining sinusoidal functions in practical applications.

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Homework Statement


Determine the amplitude and phase of the resultant motion when two sinusoidal motions having the same frequency and traveling in the same direction are combined, if their amplitudes are 3.0 cm and 4.0 cm and they differ in phase by pi/2 radians.


Homework Equations





The Attempt at a Solution


I just started this Physics class and I am lost. I bought my textbook online and it still hasn't come in the mail. Can someone just point me in the right direction as to how to solve this problem, and then i'll try to solve it on my own.

Thanks so much!
Zachary
 
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