Simple Harmonic Motion (SHM) Quiz

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Questions and Answers

What is the physical quantity that describes the state of oscillation of a particle performing simple harmonic motion?

  • Period
  • Frequency
  • Amplitude
  • Phase (correct)

What does a phase of θ = 0° indicate in simple harmonic motion?

  • Particle at mean position, moving to the negative
  • Particle at mean position, moving to the positive (correct)
  • Particle at negative extreme position
  • Particle at positive extreme position

What is the SI unit of frequency?

  • Pascal
  • Hertz (correct)
  • Joule
  • Watt

What is the equation for displacement in simple harmonic motion?

<p>$x = a \sin(\omega t + \phi)$ (B)</p> Signup and view all the answers

What does a phase of θ = 270° indicate in simple harmonic motion?

<p>Particle at mean position, moving to the negative (A)</p> Signup and view all the answers

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Study Notes

Simple Harmonic Motion (SHM)

  • The physical quantity that describes the state of oscillation of a particle in SHM is displacement, which indicates the particle's position relative to its equilibrium position.
  • A phase of θ = 0° in SHM indicates the particle is at its maximum displacement in the positive direction, starting its motion back towards equilibrium.
  • The SI unit of frequency is hertz (Hz), which represents one cycle per second.
  • The equation for displacement (x) in simple harmonic motion is expressed as:
    [ x(t) = A \cos(\omega t + \phi) ]
    where A is the amplitude, ω is the angular frequency, t is time, and φ is the phase constant.
  • A phase of θ = 270° signifies that the particle is at its maximum negative displacement, moving towards equilibrium and thus indicates a velocity change direction.

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