A wedge оf mаss m1=15{"versiоn":"1.1","mаth":"m1=15"} kg аnd angle оf inclination θ{"version":"1.1","math":"θ"} is equipped with a pulley. Masses m2=2{"version":"1.1","math":"m2=2"} kg and m3=3{"version":"1.1","math":"m3=3"} kg, connected by a string that passes over the pulley, are placed on the wedge as shown. A horizontal force F⇀{"version":"1.1","math":"F⇀"} acts on the wedge such that the system moves with acceleration a⇀{"version":"1.1","math":"a⇀"}. (Note: There is no relative motion between the masses.) All contacting surfaces are frictionless. The pulley and the string can be taken as massless. a. Draw the free body diagrams (FBDs) of m2{"version":"1.1","math":"m2"} and m3{"version":"1.1","math":"m3"}. (2 marks) b. Draw the FBD of the entire system treated as one unit. (1 mark) c. Write down the Newton's laws equations for each FBD above in terms of the variables given and the tension in the string FT⇀{"version":"1.1","math":"FT⇀"}. (Hint: think carefully about the most appropriate choice of coordinate system for this problem.) (3 marks) d. If θ=45°{"version":"1.1","math":"θ=45°"}, determine the acceleration, a⇀{"version":"1.1","math":"a⇀"}, and the applied force, F⇀{"version":"1.1","math":"F⇀"}. (4 marks)