Synthesize a slider-crank mechanism with eccentricity, \(e=0.9 \mathrm{~cm}\) for the three input positions \(\theta_{12}=40^{\circ}, \theta_{13}=80^{\circ}\) and output displacement of slider \(x_{12}=1.8 \mathrm{~cm}\) and \(x_{13}=4.8 \mathrm{~cm}\).