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
Solution
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.
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