PROBLEM 1 A four-bar mechanism is shown in its starting position in the figure above. You are to synthesize this mechanism for two positions such that tracer point P moves from coordinates 4.278 in., 16.432 in. to coordinates 2.793 in., 15.047 in. as the coupler rotates through angle a2 = -20. a) Write the displacement of the tracer point P as a complex vector P21 b) Solve for length w of vector W,. Use free choices 0 = 60, = 74, = 47. c) Solve for length z of vector Z. Use same free choices as above. d) Solve for length v of vector V, representing the length of the coupler assuming that U = 7.124/121 and S = 5,841/152. e) Solve for length g of vector G representing the frame of the mechanism using the same conditions as above. R 1007 IN Cou 125% 15 M 15 4 19 10