The offset slider-crank mechanism shown is operating with a constant input speed and an average backward speed of 30 cm/s. Determine dead-center positions, stroke, time ratio, average forward speed, range of oscillating angle of the connecting rod and satisfaction of this range. Use given plot to verify the theoretical calculations. Also determine the minimum suitable length of the connecting rod for which o is in the appropriate range, and how does the oscillating range change according to that length. Adjust the mechanism's offset such that the time ratio becomes 0.8.