Problem 2. Using the result of Problem 1, write down general solution of the differential equations of motion for the quarter of car model. Note that the general solution of unloaded system is a linear combination of normal mode solutions, which can be represented as Yi [CA." cos(wit 0) + cos(wxt 02) Y2 ) 124,2) where 4") and A 2) are arbitrary amplitudes, 0, and , are arbitrary phases, and the amplitude ratios are determined in Problem 1: ^ = A" 12 = Im Substitute your numbers for w and rin y = =) =