1. Cable AB passes over the small ideal pulley C with- out a change in its tension. What length of cable CD is required for static equilibrium in the position shown? What is the tension T in cable CD?
2. The elements of a heavy-duty fluid valve are shown in the figure. When the member OB rotates clock- wise about the fixed pivot O under the action of the force P, the element S slides freely upward in its slot, releasing the flow. If an internal torsional spring exerts a moment M = 20 N · m as shown, determine the force P required to open the valve. Neglect all friction.