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2) The figure below shows a mass-spring-damper system. It also has a mass of 0.5 kg and spring constant of 5 N/m. At t=0 the mass is released from a point 50 cm above the equilibrium position without an initial velocity. Assuming there is no damping and friction losses. I y=A m y=-A... a) Find the natural frequency of the system in Hertz in Matlab? b) Find the damping constant required for critical damping? c) Solve the unknown variables in the displacement equations with initial conditions and substitute them into the general solution for overdamping (Case 1), critical damping (Case 2) and underdamping conditions (Case 3). Page 1 of 2 DUE: May 08, 2022, Sunday, 11:55 PM d) Use the equations that you obtained in part c and create a function ("if - elseif "or etc.) to calculate the displacements that will work for all damping constants. e) Show the displacements for the damping constants of 0.1*bcritical (underdamped), bcritical (critically damped) and 2*bcritical (overdamped) (on the same plot) for 10 s on the same plot and properly label them? b