(25 points) A thin, free hanging shelf of mass m = 3kg and length L = 0.6m is supported on both end by wires hung from the ceiling as shown in the diagram above. The two wires have different tensions, T1 and T2. A book of mass M = 0.5kg is placed on the shelf a distance d = 0.2m to the left of the shelf's center of mass. The shelf is held in static equilibrium. "L. Ti Book Center of Mass (a) (5 points) Draw a free body diagram for the shelf. (b) (5 points) Find the magnitude of the tension in each wire, T1 and T2. (c) (5 points) At what position must the book be placed for the tensions to be the same? Explain.