4. (20 points) As shown in Figure 3, the hoisting system ignores the deformation of the rope and the weight of the sprin
Posted: Fri Jul 08, 2022 6:28 am
4. (20 points) As shown in Figure 3, the hoisting system ignores the deformation of the rope and the weight of the spring and guide wheel, where the lumped mass m= (100+26) kg, and the excitation load F(t) is F(t) = A sin(at) + 4₂ cos(@t) (N) Where, A₁-30, A2=40, @ 30rad/s. (1) Determine the natural frequency according to the following conditions: Case 1: k₁=4×10 N/m, k2 =00; Case 2: k₁=k₂=4×105N/m. (2) When considering the mass of the guide wheel connected by the spring2 and ignoring its moment of inertia, where the mass of the guide wheel m= (100+26) kg, and the stiffness of the springs are: k₁=k₂=4×105N/m. Please give the dynamic balance equation. k₁ k₂ m Fig.3