Problem 12: The system in the figure consists of two blocks {particles} A and B of masses m,I = 20169 and \"mir = IOOkg acted upon by a force F as shown. The coefficients of static and kinetic friction between blocks A and B are at, = pk = 0.5. There is no friction between block 3 and the ground. Gravity g = 9.81 mfr.'2 acts downward. a] Specify appropriate position variables and write the equations of motion of the two particles considering the foUowing 2 cases. For each case. clearly specify the additional equations-'conditions on the position variables and-'or the friction condition that is required to solve for the motion of the system. Also include any checks you would need to perform to ensure the solution obtained is appropriate. i] Block A slips towards the right relative to block 3 which is itself moving towards . . =t29-prno). . =px~i the right...ttms.;tt..l m4 , :3 M ii} Block A does not move relative to block 3 and both blocks move towards the right. .. 2F Ans: x = mA'i'mg b) Determine the acceleration of each block for i] P = t} N Arts: in = 1.095111/52 Ira = 0.931 mfg? ii) P = 40 N Ans: in = is = one? arm/:2