I attempted a solution for this problem, however I am not confident In my answer because the equation for acceleration that I got is very long and not consistent. Please help. My work is attached.

\f-aedb-13058f7be979/Assignments/7cod5b63-54 100% + PHYSICS 1420 (Spring 2022) HW 3 due: Wednesday, February 16 at 9:00am Show derivations! Problem 1 [10 points] V MA Q A 0 B Figure 1: Imagine there are box A and box B on slopes with angles , and 0g as in Fig. 1. Box A is moving upward and box B is moving downward, with the magnitude of acceleration a. The coefficient of kinetic friction between each slope and box is . Introduce one coordinate system (r, y) on the left slope and another one on the right slope as in the figure. (a) Write down the equation of motion for box A (both z and y components). (Use Fr and FN.A for the magnitudes of the string tension and the normal force on box A respectively.) (b) Write down the equation of motion for box B (both r and y components). (Use Fr and FN.B for the magnitudes of the string tension and the normal force on box B respectively.) (c) Eliminate FN,A, FN.B and Fr to find a