Question

Two hydraulic cylinders are used to control the position of the robotic arm ABC. Knowing that in the position shown, the cylinders are parallel, determine the force exerted by each cylinder when a downward force P = 800 N is applied at C. 150 mm 300 mm -600 mm OB OC 400 mm D 200 mm|- 150 mm Figure 3: Problem 3. (Ans: TAE = 4000 N (T), TDG = 1500 N (C)).

Answer 1

free body diagram of member AB P-S00N I somm ..-GOO mm --- --.--- FAECOLO 674 B FR {MB=0 --------> since So, FAF Sine FAE Sing x 150 – 600 x 800 = 0 > FAE X 150 - 450000 (Tensile) - Answer FAE = 4000 N NOW, 'Sexo, ine - FAECOSO + FBx=0 fex = 4000x3 = 2400 N {fyzo , ie , - FAE Sino + Fby - 600 =0 >> -4000xų + fay-800 = 0 1 Fey = yooon Now, free body diagram of "AE" .. FBy F FBX {ME=0 - Le Fex x 400 – Fey X 300- xfyx200 = 0 1. Fc -15oon Le For 1500 N (compressive) ( Az canned with Ey Cacema anner