The machine shown is used for forming metal plates. It consists of two toggles ABC and D...

The machine shown is used for forming metal plates. It consists of two toggles ABC and DEF, which are operated by the hydraulic cylinder. The toggles push the moveable bar G forward, pressing the plate into the cavity. If the force which the plate exerts on the head is P = 8 kN, determine the force F in the hydraulic cylinder when θ = 30°.