Question

Problem 1) Derive the equations of motion of the vehicle in the following form: (168) + cle) + (816) - 1103+) Where K, and C are the rear tires stiffness and suspension system's camping constants respectively at the distance L, from the mass center (M.C.) and K., C, are the front tires stiffness and suspension system's damping constants respectively at the distance Lfrom the mass center. The vector (x) () measured from the average equilibrium position Mass of the vehicle is m. la MC. 3, 2(0) 2,2 (4) L Note: Z is the road profile You must draw the free body diagram and show all the steps.

Answer 1

Mc 79mä (1) kil3th, 0 – por ky 20-2) alirai) ez (¿thorit) Linear Free Body diagran Link lzd2 (22+60-x) AL C+1, 6-4) I do huge par la Cü) kpl, (2, +6,0-x) Gli (2+la-i) Rotational Free Body diagonny The ignation motion from free Body diagram ol (i) & EF=o Meät (4+4) tllatke.sx -Glio, -c,l20i -k,1,0-1220 = 142, +1622 +42+2 (1) {M=0 Tö +42+4)*** +22) -Nally the le-(62,64 ke list kalz + Gl, zit celei In mation from arme Slatke -lke le tl2/2) [(a+C) -(CRq+62l2) Lely +682) (4,4°362427 T :167 07 JE (kent tene) (ilk, 01) Ic, ka CI JCH-04:23) G4 Ghz