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The equation of motion for a simple harmonic oscillator is given by x(t) = A cos
The equation of motion for a simple harmonic oscillator is given by x(t) = A cos(ωt + φ). What does A represent?
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Q1
The equation of motion for a simple harmonic oscillator is given by x(t) = A cos(ωt + φ). What does A represent?
Angular frequency
Phase constant
Amplitude
Displacement
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A represents the amplitude of the oscillation, which is the maximum displacement from the mean position.
Questions & Step-by-step Solutions
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Q
Q: The equation of motion for a simple harmonic oscillator is given by x(t) = A cos(ωt + φ). What does A represent?
Solution:
A represents the amplitude of the oscillation, which is the maximum displacement from the mean position.
Steps: 5
Show Steps
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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