a PROBLEM 2 Consider the four-bar mechanism illustrated in the schematic above. Suppose that the initial displacements of the cranks are = 31 and y = 43. When input angle reaches 42, the output crank will be at an angle of 57. As the input crank rotates to an angle of 53, the output angle y increases to 6 1643 a) Write the set of equations which must be solved (do not solve) to synthesize this linkage. In your set of equations, evaluate the sines and cosines (write 0.3090 not cos 72). b) What else do you need to know to finish the design of this mechanism?