Consider the crank-driven slotted-arm mechanism illustrated in the diagram. The crank OA revolves counterclockwise about the fixed point O at five revolutions per second. The length OA is r = 20 cm. The driven link AC of length 85cm is a slotted arm constrained by the fixed pin B at a distance a = 60 cm from O. At any given instant, let the angle of rotation AOB be denoted by θ, the corresponding angle ABO be denoted by α and the distance AB be denoted by x. Assume the angle θ = 0 at time t = 0.