The discussion revolves around transforming an equation from a specific form (3-20) to another (3-22a) in the context of fluid mechanics, specifically focusing on the center of pressure. Participants are attempting to manipulate the equations involving pressure and area terms.
The discussion is ongoing, with participants providing feedback on each other's attempts and clarifying misunderstandings. Some guidance has been offered regarding factoring and substitutions, but there is no explicit consensus on the correct approach yet.
Participants are working under the constraints of homework rules, which may limit the amount of direct assistance they can provide to each other. There are indications of confusion regarding the original equations and their transformations, as well as the interpretation of certain terms.
Put the denominator in the second term back into the form PcA for now.goldfish9776 said:
You have successfully factored out the yc. In the other factor, you have two terms each with a denominator PcA. So you can add together the numerators. I think you'll find those numerators add up to PcA.goldfish9776 said:
ok , i get my yc now , how to transform the ( (rho)g sin theta ( I xxc) / PcA )into the same form as 3-22a?haruspex said:
In that term, expand the Pc in the denominator into P0+ etc. form, then divide through numerator and denominator by (rho)g sin theta.goldfish9776 said:
![DSC_0397[1].JPG](/data/attachments/78/78089-b79bb7eadc095f0d27da0925b9cb5f94.jpg?hash=t5u36twJXw)
![DSC_0398[1].JPG](/data/attachments/78/78090-4f010c5afbb8dafa426631fef8032e56.jpg?hash=TwEMWvu42v)