-. A 2 meter long bookcase is made of a 3.6kg piece of wood held up by two supports, 0.5m from the center. A 0.8 kg potted plant is :KHI added to the shelf, 0.8m from the center. This is drawn to the 0-5'\" : 05'" right. [16 points] a. Write the equation for the net force acting on the shelf. Calculate . ~ ; values you can, and leave unknown forces as variables. [ 4 pts ] K,: b. If the shelf began to rotate, where do you think the axis would be? I 0.8m ' A. At the far left end B. At the left support C. At the center D. At the right support E. At the far right end 0. Write an equation for the net torque acting on the shelf. Use your axis from part B. [ 7 points ] d. Assuming that the shelf stays stationary, solve your equations for the forces pushing up on the shelf from each support. [4 points]