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Problem 3
Consider a cantilever beam shown in Figure 3 with the length I, flexural rigidity EI, and an
external force Fosin0t. Ignore the mass and damping of the beam itself. The mass m is located
in the center of the beam. 0=V6EI / ml
(1) Calculate the natural frequency of the system;
(2) Calculate the maximum dynamic displacement at the location of m.
EI
m
Fosinet
1/2
1/2
Figure 3

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