Question

a function u is said to be harmonic if and only if​

Answer 1

Step-by-step explanation:

the harmoic means it in reciprocal of ap ok it said to be function

Answer 2

The function u will be said to be a harmonic motion only and only if:

• If the function 'u' can be simplified in the form of                                    u' + A × sin (ωt + θ), where u' is the initial displacement, A is the maximum displacement from the mean position, ω is the angular frequency, (ωt + θ) is the phase of the particle and θ is the initial phase.

• Also, the acceleration of the particle in SHM should be directly proportional to the negative of the displacement of the particle.

        i.e. a ∝ -u

So, where we observe these characteristics in the function 'u' it can be said that it is harmonic.

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