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A tractor-trailer is hauling a large cylindrical drum that is elastically supported by spring k2 as shown in Figure E746 The drum rolls on the floor of the trailer without slipping

A tractor-trailer is hauling a large cylindrical drum that is elastically supported by spring k2 as shown in Figure E7.46. The drum rolls on the floor of the trailer without slipping. The trailer is attached to the tractor by a system that has an equivalent spring k1. The mass of the tractor is m1, that of the trailer is m2, and that of the drum is m3. a) Obtain the equations of motion for this system. b) If k1 = k2 = k, m1  m= m, and m3 = 2m/3, then obtain the natural frequencies in terms of k/m and the corresponding mode shapes.

 

May 16 2020 View more View Less

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