Question

Problem 2 (20%) Free Vibration with Velocity Dependent Force. Consider a 1 DOF system consisting of a block with mass 2 kg hanging from a spring with stiffness 100 N/m. The block is fully immersed in the liquid and based on the properties of the liquid, you have determined experimentally that the drag force (damping force) on the block has a magnitude of 0.91*] where x is velocity and 0.9 has units (Ns/m). Assume positive displacement of the block is downward Gravity acts downward. The block is set into motion with a downward displacement of 0.1 m and no initial velocity. Determine the response (displacement) of the mass with time. Follow the required homework format to show all of your work i.e. a) Assumptions, b) FBD, c) ID, d) EOM, e) (o, f) x(t). Problem 2. Block oscillating in liquid

Answer 1