Consider a setup similar to that used in the last part of the lab. a mass m1 hangs d1 cm to the right of the center of the bar. a string attached to the bar d2 cm to the right of the center passes over a pulley. a mass m2 is attached to its other end. we see that the student has made a mistake, and the string is at an angle θ from the vertical. (a) assume that the string is vertical (it is perpendicular to the bar). use the equilibrium equation for the torques to find m2. (your answer should be in terms of m1, d1, and d2.) m2 = (b) now consider the actual setup with the string at an angle θ to the vertical. again use the equilibrium equation for the torques to find m2. (your answer should be in terms of m1, d1, d2, and θ.) m2 = (c) how much additional mass does the student have to add to the bucket to correct this error? (your answer should be in terms of m1, d1, d2, and θ.)