For this question, why did they use this formula to calculate the fundamental frequency and not the formula provided in the background theory (Eq 4)?

We've been given all the values for it and (beta)(L)^2 can be read off table 1 (22.4 for clamped-clamped).

To calculate the theoretical fundamental frequency of a beam with the given properties, we can use the formula for the fundamental frequency of a simply supported beam. EX T J = X 912 PK ACalculate the theoretical fundamental frequency of the beam (p: 7800 _kg1n_;E : 200GPa, h : 3mm, L:l.2m) Where the detuner is going to be attached. The area moment of inertia for M3 the beam with a rectangle cross section is I = E _._ Where b is the Width of the beam. h is the thickness of the beam and L i=s the length of the beam. 131 _ L2 13122 ApL4_(n) 12pL4 _ l(200>