In the toggle mechanism, shown in Fig.2.59, crank \(O_{1} A\) rotates at \(30 \mathrm{rpm}\) clockwise. \(O_{1} A=40 \mathrm{~mm}\), \(A B=140 \mathrm{~mm}, B C=100 \mathrm{~mm}, B D=80 \mathrm{~mm}\), and \(D E=80 \mathrm{~mm}\). Neglecting friction and inertia effects, calculate the torque required to overcome a resistance of \(500 \mathrm{~N}\) at \(D\). Use the instantaneous centre method.

23 -N-30 rpm 40% 56 R= 500 N/ 100 140 6 80 15 80 30 100 (b) Circle diagram 16 Scale: 1 cm 20 mm (a) Locating instantaneous centres Fig.2.59 Toggle mechanism