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If wing tip tanks of mass M1 are added to the system of Prob. 11-21, determine the new frequency.

Prob. 11-21

For the system of Prob. 11-21, determine the antisymmetric mode by using the rotation of the fuselage as one of the generalized coordinates.

Prob. 11-21

An airplane is idealized to a simplified model of a uniform be am of length land mass per unit length m with a lumped mass Mo at its center, as shown in Figure.

Using the translation of Mo as one of the generalized coordinates, write the equations of motion and establish the natural frequency of the symmetric mode. Use the first cantilever mode for the wing.

2351_a lumped mass.jpg

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