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The equation of motion for a simple harmonic oscillator is given by x(t) = A cos

Practice Questions

Q1
The equation of motion for a simple harmonic oscillator is given by x(t) = A cos(ωt + φ). What does A represent?
  1. Angular frequency
  2. Phase constant
  3. Amplitude
  4. Displacement

Questions & Step-by-Step Solutions

The equation of motion for a simple harmonic oscillator is given by x(t) = A cos(ωt + φ). What does A represent?
  • Step 1: Understand the equation x(t) = A cos(ωt + φ).
  • Step 2: Identify the variable A in the equation.
  • Step 3: Recognize that A is a constant value.
  • Step 4: Learn that A indicates how far the object moves from its central position.
  • Step 5: Conclude that A is the maximum distance the object reaches during its motion, known as the amplitude.
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