For each experiment listed below please use vector components, show diagrams and

Question

For each experiment listed below please use vector components, show diagrams and formulas used. Experiment 1 A 250 gram mass hangs off of pulley at 0 degrees. A second mass of 250 grams hangs off of another pulley at 90 degrees. Use vector components to find the combined total force (magnitude and direction) exerted on the ring by the two cables with weights hanging off of them. At what angle should a 3rd pulley be placed, and how much mass hanging off of it would be needed to balance the system in Part A so that the central ring does not move? A 350 gram mass hangs off of pulley at 30 degrees. A second mass of 100 grams hangs off of another pulley at 140 degrees. Use vector components to find the combined total force (magnitude and direction) exerted on the ring by the two cables with weights hanging off of them. At what angle should a 3rd pulley be placed, and how much mass hanging off of it would be needed to balance the system in Part C so that the central ring does not move? A 120 gram mass hangs off of pulley at 40 degrees. A second mass of 500 grams hangs off of another pulley at 205 degrees. Use vector components to find the combined total force (magnitude and direction) exerted on the ring by the two cables with weights hanging off of them. At what angle should a 3rd pulley be placed, and how much mass hanging off of it would be needed to balance the system in Part E so that the central ring does not move?

Explanation / Answer

experiment 1)

Force along X-axis is 250*10^-3*9.8 = 2.45 N

Force along Y-axis is 250*10^-3*9.8 = 2.45 N

using Vector components

Fnet = 2.45 i + 2.45 j

magnitude is Fnet = sqrt(2)*2.45 = 3.46 N

Direction is 45 degrees above the horizzontal

B) to balance the system we need to place a 3rd pulley 135 degrees with mass (3.46)/9.81 = 0.352 Kg = 352 gm

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