The equation of displacement of a harmonic oscillator is x=3sinωt+4cosωt. The amplitude of the particles will be

Question

The equation of displacement of a harmonic oscillator is x=3sinωt+4cosωt. The amplitude of the particles will be
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Solution 1

The amplitude of a harmonic oscillator is given by the formula:

A = sqrt(a² + b²)

where a and b are the coefficients of the sine and cosine terms in the equation of displacement. In this case, a = 3 and b = 4.

So, the amplitude A = sqrt(3² + 4²) = sqrt(9 + 16) = sqrt(25) = 5 units. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee

StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem

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