Question

Can someone please explain this to me? It’s from the oscillations.

Answer 1

Answer:

Given:

2 Equations have been provided

• sin(ωt) - cos(ωt)
• log(2ωt)

To check:

Whether they are periodic or not

Concept:

There are 2 methods to solve this question

• Either you draw the graph
• Or you simplify the given Equation.

Calculation:

1st Question:

We know that any sin or cos function is periodic. So if we are able to represent the whole Equation in a single sin or cos function, we will be able to say that the given Equation is periodic.

2nd Question:

I would recommend you to draw the graph of log functions. Take a look at the graph in the attached photo. You will clearly understand that the graph doesn't return to its mean position. Hence its not periodic.

If you have any doubts regarding the 1st Question, pls contact me in my inbox.