This lab involves a theoretical question that is proven experimentally. Answer the question mathematically before testing it. Torque = Force * distance Rotational equilibrium is achieved when all Torque arm of the torques in a given system sum to zero. Direction of rotation A negative torque results in clockwise rotation, while a positive torque causes counter-clockwise rotation. If in Equilibrium.. Fulcrum Force IT = 0 causing torque Set up the stand with the hanger arm as shown. If the hanger arm is pivoted in the middle, it is in equilibrium if the same amount of weight is hung from each end of the arm at the same distance from the pivot. Given this setup, answer this question: If two weights are hung on one side - one at hole 8 from the left end, one at hole 11 from the left end - where would a third weight need to hang to establish equilibrium? First, theoretically calculate where the weight must be hung on the right side to achieve equilibrium. Use the equations located in the figure at the top of the page. Calculate the torque acting on the left side, then find the placement of the third weight. Assume the mass of the hook is 1.2 grams and the mass of the ring is 2.5 grams. Once this is accomplished, experimentally prove it using the apparatus. Place the third weight on the hanger at the predicted distance to see if equilibrium is achieved.Content and Analysis 1. Methodology - How will the placement of the third weight used to create equilibrium in the system be estimated and verified? Please be complete and assume the reader knows nothing. 2. Data Collection - Given the instructions at the beginning of this lab, measure the distance of weight 1 from the fulcrum and weight 2 from the fulcrum. 3. Data Analysis - With the measurements taken in the previous section, calculate the torque for the one side of the fulcrum and predict the placement of the weight on the other side of the fulcrum such that equilibrium should be achieved. 4. Conclusion - Confirm the prediction on the actual apparatus. Was equilibrium achieved? If not, approximate the torque that would be needed to achieve equilibrium 5. Caveats - In this experiment it may be difficult to achieve equilibrium exactly. Explain why this is so - what factors and variables can cause for equilibrium to be different from what was calculated