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Referring to Problem Prove in general that the uncoupled natural frequencies are always between the coupled natural frequencies.

Problem

The following information is given for the automobile shown in Figure.

W=3500lb
l1=4.4ft
l2=5.6ft
k1=2000lb/ft
k2=2400lb/ft
r=4
ft=radius of gyration about c.g.

Determine the normal modes of vibration and locate the node for each mode.

1231_vibration.jpg

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