Simple Harmonic Motion Concepts Quiz

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Questions and Answers

What does the variable 'A' represent in the given simple harmonic motion equations?

  • The angular frequency of the motion
  • The amplitude of the oscillation (correct)
  • The instantaneous displacement of the object
  • The phase constant of the motion

Which of the following statements correctly describes the relationship between kinetic energy (KE) and potential energy (PE) in simple harmonic motion?

  • When KE is at its maximum, PE is also at its maximum.
  • When KE is at its maximum, PE is at its minimum. (correct)
  • KE and PE always remain constant.
  • When KE is at its minimum, PE is also at its minimum.

Based on the given equations, how does the potential energy (PE) vary with time?

  • PE varies proportionally to the sine squared of time. (correct)
  • PE varies proportionally to the cosine squared of time.
  • PE is constant and does not vary with time.
  • PE varies inversely with time.

If the angular frequency ($\omega$) of a simple harmonic oscillator increases, what happens to its maximum kinetic energy (KE)?

<p>The maximum KE increases. (D)</p> Signup and view all the answers

What does the phase constant ($\phi$) in the SHM equations represent?

<p>The displacement at $t=0$. (D)</p> Signup and view all the answers

Flashcards

Kinetic Energy (KE)

Energy due to motion, calculated by KE = (1/2) m A w² cos²(ωt + φ).

Potential Energy (PE)

Stored energy in the system, calculated as PE = (1/2) k x² or PE = (1/2) m A² w² sin²(ωt + φ).

Total Mechanical Energy (ME)

The total energy in SHM, constant and the sum of KE and PE.

Variables in SHM

Key variables include m (mass), A (amplitude), ω (angular frequency), k (spring constant), x (displacement), t (time), φ (phase).

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Energy Transformation in SHM

KE and PE transform into each other over time during SHM, visualized in a sinusoidal graph.

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