Simple Harmonic Motion and Reference Circle

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SUMMARY

The discussion focuses on a physics problem involving a 3.0-kg block positioned between two horizontal springs, which is displaced 0.070m from its equilibrium position and released. The key calculations required are the speed of the block as it passes through the x=0 position and the determination of the angular frequency (ω) of the system. The relationship between angular frequency and frequency is clarified, with the formula ω = 2π/T being emphasized. The user seeks assistance in applying significant figures in their calculations.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Knowledge of angular frequency and its relationship to frequency
  • Familiarity with the concept of significant figures in calculations
  • Basic skills in solving physics problems involving springs and mass
NEXT STEPS
  • Study the principles of Simple Harmonic Motion (SHM) in detail
  • Learn how to calculate angular frequency (ω) and its implications in oscillatory systems
  • Review the concept of significant figures and their application in scientific calculations
  • Explore the mathematical relationships between displacement, velocity, and acceleration in SHM
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators looking for examples of Simple Harmonic Motion applications.

Pius
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Thank you in advance!

Homework Statement


A 3.0-kg block is between two horizontal springs. Neither spring is trained when the block is at the position labeled x=0 m in the drawing. The block is then displaced a distance of 0.070m from the position where x=0m and is released from rest. (a) What is the speed of the block when it passes back through the x=0 position? (b) Determine the angular frequency w of this system.

Homework Equations



I have no idea.

The Attempt at a Solution


Help me!
 
Last edited:
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How does angular frequency relate to the frequency of cycles?
 
omega!=2pi/T
7.54*10^4= 2pi*f
f=12006
12006*2.5s= 30016 times?
It says to use three significant digits from start to finish. How do I do that? Sorry, I haven't learned this!
Thanks danago!
 

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