A tractor-trailer is hauling a large cylindrical drum that is elastically supported by spring k2 as shown in Figure E7.4
Posted: Tue Apr 26, 2022 5:00 pm
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 kq. The mass of the tractor is mų, that of the trailer is m2, and that of the drum is mz. a) Obtain the equations of motion for this system. b) If ky = K2 = k, ma = m2 = m, and m3 = 2m/3, then obtain the natural frequencies in terms of k/m and the corresponding mode shapes. FIGURE E7.46 12 mi in partea m2