A system has two blocks, A with a mass of 3 kg and B with a mass of 2 kg, as shown in Figure Q1. Mass A is connected to
Posted: Mon May 02, 2022 3:09 pm
Draw the free body diagram for each mass and derive the
time-based ordinary differential equation of motion for each mass
assuming linear relationships for the spring force, ππ₯ and damping
force πx
A system has two blocks, A with a mass of 3 kg and B with a mass of 2 kg, as shown in Figure Q1. Mass A is connected to a wall by a spring with a stiffness coefficient k = 5 N/m, while Mass B is connected to Mass A through a damper with a dampening coefficient c = 1 Ns/m. The system input is the forcing function FA(t) applied to Mass B, and the system output is the displacement of the mass A. +X1 +x2 k LΓΌ A B FA FIGURE Q1
time-based ordinary differential equation of motion for each mass
assuming linear relationships for the spring force, ππ₯ and damping
force πx
A system has two blocks, A with a mass of 3 kg and B with a mass of 2 kg, as shown in Figure Q1. Mass A is connected to a wall by a spring with a stiffness coefficient k = 5 N/m, while Mass B is connected to Mass A through a damper with a dampening coefficient c = 1 Ns/m. The system input is the forcing function FA(t) applied to Mass B, and the system output is the displacement of the mass A. +X1 +x2 k LΓΌ A B FA FIGURE Q1