Oscillatory Motion: Frequency 3.00, Amplitude 5.00 cm

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SUMMARY

The discussion centers on a particle undergoing simple harmonic motion with a frequency of 3.00 oscillations per second and an amplitude of 5.00 cm. Key calculations include determining the total distance traveled in one cycle, which is 20.00 cm, and the maximum speed, calculated as 9.42 cm/s, occurring at the equilibrium position. Additionally, the maximum acceleration is found to be 37.69 cm/s², occurring at the maximum displacement points.

PREREQUISITES
  • Understanding of simple harmonic motion principles
  • Familiarity with basic physics equations for motion
  • Knowledge of maximum speed and acceleration calculations
  • Ability to interpret oscillatory motion graphs
NEXT STEPS
  • Study the equations of motion for simple harmonic oscillators
  • Learn about the relationship between frequency, amplitude, and energy in oscillatory systems
  • Explore graphical representations of simple harmonic motion
  • Investigate real-world applications of simple harmonic motion in engineering
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Homework Statement



A particle moves in simple harmonic motion with a frequency of 3.00 oscillations/s and an
amplitude of 5.00 cm. (a) Through what total distance does the particle move during one cycle
of its motion? (b) What is its maximum speed? Where does this occur? (c) Find the maximum
acceleration of the particle. Where in the motion does the maximum acceleration occur?


Homework Equations





The Attempt at a Solution

 
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welcome to the physics forum!

I notice you've posted a problem but without any relevant equations or work you did.

We can't help you if you don't show some work.

First, draw a picture of what the problem is describing.

Is it a mass on a spring, or a pendulum...?
 

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