MEC-311 Consider the crankshaft-piston system in the Figure. It is known 5A3 = —1000k rpm (revolution per minute), EEAB = 0k rpm, 1 = 160 mm, b = 60 mm, mp = 2.5 kg, map = 3 kg. The objective of the lab is to analyze the reaction profile of the crankshaft BD. Your report must contain the following information. All results should be expressed in the standard Cartesian coordinate system XY. (a) The free-body-diagram and the derivation of the equations of motion for the shaft 81) (b) Solve the reaction forces at B and D for the crankshaft BD as a filnction of 6