Question File Need Handwritten Solution Q) The figure shows the wheel suspension of a car, where m1 is the mass of the wheel, m2 is the car's mass distributed over four wheels. The car and the wheel are attached through a damper with damping constant b and a spring with spring constant ks. The wheel itself has a spring constant of kw. The zero position of the wheel is given as x, and the zero position of the car is given as y. The zero positions are assumed to be where the spring forces. Description Value m1 Mass of wheels 24 kg m2 Mass of car (distributed on four wheels) 600 kg x Position wheel y Position car ks Spring constant wheel suspension 18 kN/m kw Spring constant tire 190 kN/m b Damping constant wheel suspension 2800 Ns/m corresponds to the gravitational force, so that we do not need to consider the latter i the modeling. The ground level is a distance r from an inertial starting point. Set up the differential equations for the positions x and y And also: Set up the transfer function from input r to output y. Explain what is the order of the transfer function, and whether it is natural to simplify this to lower order. m2 b mi x V car kw Road surface Inertial reference

Fig: 1