How to use Mathcad to create a flow chart

I would suggest that you start a try and then post the (probably not correctly working) worksheet here for corrections to be made.

There may be some modifications necessary because Mathcad unfortunately does not provide a loop with end-condition (something like do ... while, or repeat ... until). And of course Mathcad supports no  goto   😉

You would also have to specify what "select ..." and "Find ..." and "solve for ..." would actually mean, how much m should be in/decreased, etc.

It might be that a solve block with "find" or "minerr" could be more appropriate to get the value of K.max (or rather m may be the value of interest?), but as a start here is a possible outline of the function. Arguments may be Qmax and m (so you won't need the first two lines). The third line is just to make sure that for the first time the condition of the while loop will fail.

Note that there is a slight difference here to the flow chart: When "Find Kmax" found a value equal to gain.required, the value of m is increased (which is not the case when we follow the flow chart. If this is an issue, an easy way to fix it would be to decrease m after the loop and before "solve for resonant ...".
Another way would be to replace "else" for "elseif Kmax > ganin.required".

Hi,

Can you elaborate on the equations using Qmax and m to calculate Fxmin, Kmax. What is the required gain

Mathcad can use a root function or solve block that can iterate the value of m to solve the problem without using programming