A2/1 (10 marks) Consider the slider crank system shown in Figure A2.1, where bar AB is 0.2 m long, and bar BP is 0.75 m long: B Y 0.2m 0.75m A P + + X Figure A2.1 a) Using geometric constraints and differentiation of the variable xp, derive an expression for the piston's acceleration Xp b) The rotation of link AB around point A is set at a constant 800 rpm. Use MATLAB/Simulink to find the value of and , when 0 = 15 degrees. c) Calculate the corresponding value of xp, knowing that = 453 rad/s. == d) Submit a plot of the two angles Theta and Beta as the slider crank operates. Based on the two curves, what best describes the motion of bar AB and bar BP, respectively?