$1.$ Synthesize a four bar RRRR linkage whose frame RS is $65$ mm long and the output link RP is $60$ mm long, such that when the input link RS turns counterclockwise $\backslash (75^\{\backslash$circ$\}\backslash )$ from its initial position of $\backslash (30^\{\backslash$circ$\}\backslash )$ counterclockwise from the horizontal the output link RP turms counterclockwise through $\backslash (115^\{\backslash$circ$\}\backslash )$ from is initial angle of $\backslash (75^\{\backslash$circ$\}\backslash )$ from the horizontal. The geometry is shown in the figure $1.$