Question

The function y = log(omega t). The displacement y increases monotonically with time t, is it periodic function or noon periodic function?

Answer 1

The given function is Non-Periodic.

Explanation:

Given:

y = log wt

Displacement y increases monotonically with time t.

Let us assume y = log wt is a Periodic function.

Since it's considered as a Periodic function, the time period can be taken as T.

So y(t + T) = y(t)

logw(t + T) = log w(t)

w(t + T) = wt

wt + wT - wt = 0

wT = 0

Since it is 0, there is no period for this function

Hence the given function is Non-Periodic.

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