Question A1. A block of mass m = 3 kg is connected by three springs of the same stiffness k = 100 N/m and two dampers wi
Posted: Fri Jul 01, 2022 6:17 am
Question A1. A block of mass m = 3 kg is connected by three springs of the same stiffness k = 100 N/m and two dampers with damping coefficient c = 25 Ns/m as shown in figure QA1. C Figure QA1. Mass-spring-damper system a. Write the equation of motion of the system. [8 Marks] b. Determine the natural frequency of the system in rad/s. [4 Marks] c. Determine the damping ratio of the system. [3 Marks] d. If the block is under the action of a harmonic force F(t) = 2 sin 3t acting on the vertical direction. Calculate the steady-state amplitude of the oscillation of the mass. [10 Marks]