i have proper answer please posting $3$rd time Please provide Detail response to the following questions. Your response will be graded based on steps involved in solution, accuracy, presentation style, and clarity of thought.

Q$2$: A cord ACB $5$ m long is attached at points A and B to two vertical walls $3$ m apart as shown in the figure. A pulley C of negligible radius carries a suspended load of $200$ N and is free to roll without friction along the cord. Determine the position of equilibrium as defined by the distance X $,$ that the pulley will assume and also the tensile force in the cord.