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The expansion joints of a concrete highway are 45 ft apart. These joints cause a series of impulses at equal intervals to affect cars traveling at a constant speed. Determine the speeds at which pitching motion and up-and-down motion are most apt to arise for the automobile of Problem.

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=4ft

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

2399_Modes of vibration.jpg

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