Question: 1. Consider the dynamic system in Figure 1, where the beam A-B of constant mass per unit length m is assumed to be rigid
1. Consider the dynamic system in Figure 1, where the beam A-B of constant mass per unit length m is assumed to be rigid and the beam B-C of constant bending stiffness EJ is assumed to be massless. The elastic beam is rigidly connected at point B and carries the tip point mass M. The rigid beam is elastically supported by two springs of stiffness k. W L m B k An EJ L2 C M Figure 1: Dynamic system. Write the equations of motion of the system in terms of the displacement w of the centre of mass of the rigid beam A-B, the displacement 8 of the end-mass M measured with respect to line A-B, and the small rotation of the rigid beam o.
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