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I am learning the derivation of the formula of the inertia force of reciprocating masses, which is a typical formula that I am sure all of you must know.

F=mrw^2{cosB+(cos2B)/n}

I know that the cosB term is called the 1st harmonic, and the cos2B term is the 2nd harmonic.

Also, I know that this is not an exact formula, since a approximation was made in the derivation. That, n>>l, right?

But I cannot see if without the assumption, what will be the relation?

I am told that there should be some higher order terms after mw^2{cosB+(cos2B)/n}. But I don't see what they are and how they are produced. Is that something like Taylor series is used in order to produce the higher order terms??

I am confused.