[2 + b Final mechatronics 1. [40] The sketches below depict a model for a car with mass m, stiffness c damping d and tire radius r. The mass, elasticity and damping of the tire and any other components are neglected. The tire bumps against a curb of height h. The sketches show the first contact between the tire and the curb (1) and the moment when the tire has fully reached the upper plane (2). The tire will not slip at any time. The speed n of the tire is always constant. a) How long does it take to get from state (1) to state (2)? b) Describe the displacement of the chassis (mass m) from (1) to (2) by a governing differential equation. The creation of the equation must be traceable. c) Calculate the natural frequency wo and the unit less damping factor D. d) What is the displacement Y of mass m in position (2). e) After (2) the car drives on. What is the position Y of mass m after travelling the distance of s shown in state (3). Given: m=1000 kg. c-2e5 N/m, d=2,8 Ns/m, r=0,4 m, har/4, n=240 min, s-10 m m C d (1) Y C th Upper plane S d m n C (3) m d n (2) C Upper plane Ch Upper plane a