Uncategorized: Practice Problem & Solution
The displacement of a particle executing simple harmonic motion is given by $ y = A_0 + A \sin \omega t + B \cos \omega t $. Then the amplitude of its oscillation is given by : (2019)
Solution Explained:
To solve this problem, we apply the core principles of Uncategorized. Understanding the underlying formula is key to arriving at the correct answer below:
The given equation can be written as $ y - A_0 = A \sin \omega t + B \cos \omega t $. This represents simple harmonic motion about a shifted mean position $ A_0 $ with an amplitude of $ \sqrt{A^2 + B^2} $.
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