A robotic crane is being used to replace an EV battery pack with a mass of 500kg - as shown in the diagram below. A rigid column ABDE supports a boom DCF and a hydraulic ram BC. The cable supporting the 500kg battery pack is supported by a large pulley F and a very small pulley E, and a winch provides a cable tension T to maintain static equilibrium. Pin joints are located at B,C, and D. Find: the force in the hydraulic ram BC and the reactions in the pin joint D