Hello, can anybody help me ? one question about simple harmonic oscillation

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SUMMARY

The discussion centers on the analysis of simple harmonic oscillation (SHO) represented by the equation Z(t)=(3/4)Sin(2π/3t). Key parameters such as amplitude (3/4), frequency (1/3 Hz), angular frequency (2π/3 rad/s), and period (3 seconds) are derived. Maximum velocity is calculated as (2π/3)(3/4) and maximum acceleration as (2π/3)²(3/4). Additionally, the velocity and acceleration at Z=3/4 and Z=0 are determined using the derivatives of the SHO equation.

PREREQUISITES
  • Understanding of simple harmonic motion (SHM) concepts
  • Familiarity with trigonometric functions and their derivatives
  • Knowledge of angular frequency and its relation to frequency
  • Ability to apply calculus to find velocity and acceleration from position functions
NEXT STEPS
  • Study the derivation of velocity and acceleration in simple harmonic motion
  • Learn about the relationship between angular frequency and period in SHM
  • Explore the concepts of maximum velocity and maximum acceleration in oscillatory systems
  • Practice solving problems involving different forms of SHM equations
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators looking for examples of simple harmonic oscillation analysis.

wowolala
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1. Homework Statement [/b]

Let Z(t)=(3/4)Sin(2π/3t) be the equation for a SHO in the Z diection about z=0.

1. what are the amplitude, phase, frequency, angular frequency and period of this SHO?

2. what is the maximum velocity? what is the maximum acceleration?

3. when Z= 3/4, what are the velocity and acceleration?

4. when z=0, what are the velocity and acceleration?

Could someone solve all question for me, i am so confused in this part .

thx so much
 
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You must show some attempt, however bad you think it is. Write the meanings of the various symbols in SHM, and then try to see what is given here. You WILL get help.
 

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