Problem 1. An aircraft's propeller consists of a rigid hub of radius R and a exible tapered blade of length 3R that has density p (kg13). The propeller is rotating about the center of the hub with a steady angular velocity .9; , thereby creating an effective axial distributed force in the blade. Neglect forces due to gravity. The cross sectional area distribution of the blade is A(r), defined as 1!L(r}:(5-i)l-'rL : if R