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where, in accord with thin-airfoil theory, we have taken the lift-curve slope to be 2tz . Assuming this representation to be adequate for the time being, we can apply the p method since the aerodynamic loads are specified for arbitrary motion. (We shall later consider more sophisticated aerodynamic theories. )

To simplify the notation, we introduce the uncoupled, natural frequencies at zero airspeed, defined by fh r"

Substituting Eqs. (4.25) into Eqs. (4.24), making use of the definitions in Eqs. (4.26), and rearranging the equations of motion into matrix form, one obtains mb2 mb2Xg mb2Xg Ip mb2a>l 0

2jtpocb2U2

0 0

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