Problem 3 (17 pts): Design a quick return 4 bar linkage whose input is driven by a constant speed motor and whose output oscillates between 42 degrees and 110 degrees with the clockwise motion time being 1.2 times slower than the counter-clockwise motion. The ground pivot points (O2 and 04) should not be further than 12 inches apart. 3.1 (2 pt) Calculate the angles needed to achieve this time ratio 3.2 (3 pts) Show the sketch of the graphical construction used to synthesize the quick return mechanism, with important angles indicated. 3.3 (4 pts) Draw the final four bar linkage to scale 3.4 (1 pts) List the lengths of all the links 3.5 (1 pts) What is the angle of the GND link measured counter clockwise with respect to the horizontal 3.6 (2 pts) Identify the class and inversion type of your mechanism 3.7 (4 pts) Simulate the linkage in Creo Mechanism to validate your design. Include screen shots of your four-bar linkage at the specified output positions.