4. (20 points) As shown in Figure 3, the hoisting system ignores the deformation of the rope and the weight of the sprin
Posted: Sun Jul 03, 2022 12:15 pm
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+ID) kg, and the excitation load F(t) is F(t)=4, sin(t) + 4, cos(@t) (N) Where, A₁-30, 42-40, co-30rad/s. (Note: ID is your class number). (1) Determine the natural frequency according to the following conditions: Case 1: k₁=4x10³N/m, k₂=0; Case 2: k₁=k₂=4x10³N/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+ID) kg, and the stiffness of the springs are: k₁=k₂=4x10 N/m. Please give the dynamic balance equation. kı k₂ m Fig.3 F