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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?
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?
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?
What is the SI unit of frequency?
- Pascal
- Hertz (correct)
- Joule
- Watt
What is the equation for displacement in simple harmonic motion?
What is the equation for displacement in simple harmonic motion?
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What does a phase of θ = 270° indicate in simple harmonic motion?
What does a phase of θ = 270° indicate in simple harmonic motion?
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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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