Hi,
You can get the class name for Web Dynpro Component using the standard class CL_WDY_WB_NAMING_SERVICE method GET_CLASSNAME_FOR_COMPONENT. And then you can do a 'Find' for the tables( using search string as select/table/other sql stmts).
But, in Web Dynpro component, there may be models/classes used to fetch the data from data base tables and you cannot find those tables in the WDA class unless you navigate in each method of the model class and do a search,. which is typical time consuming( and you will miss some tables when there is a dynamic method calls in the model).
So ,the best way is to switch on the SQL trace and execute the WDA application and get the tables.
Regards,
Kiran