Part 6: Calculating a Vector from Components Now you will calculate the components of the resultant of two W use that calculation to directly create the vector needed to put the ring in equilibrium. I Install the nail to hold the ring in the center ofthe force table. I Put one pulley at the 15 ' mark. in the rst quadrant. and hang a mass hanger with an additional 100 g mass over it I Put a second pulley at the 110 mark in quad rant II. Hang a mass hanger with an additional 200 g of mass over it. These are the two forces that you will try to balance by calculating their resultant's magnitude and angle. and then creating a third force vector to balance it and put the rin_ in e . uilibl'lum. Which quadrant do you expect that the third vector will need to be placed in to put the ring in equilibrium? To add the two vectors at 15 and 110' . you will rst need their components. Use equations 2 and 3 to calculate each vector's x and ycoinponents. l. Vt 131515 the '15 ' vector's x-compon ent? Is it positive or negative? 2.. Vt 131515 the 15' vector's ycoinponent? Is it positive or negative??? 3. Vt at is the '110 ' vector's xcomponent? Is it positive or negative? 4-. V1 qat is the '110' vector's y-coinponent? Is it positive or negative? 1. 'N tat is the resultant vector's K'COI'l'Ip onent? Is it positive or negative? 2. 'N tat is the resultant vector's ycomponent'? Is it positive or negative? 3. Wlich quadrant is the resultant vector in? Using equations 4 and '1. calculate the magnitude and angle of the resultant oFthe two Forces installed at 15 and 110 ' f'ro1n the components calculated above. 1. What is the magnitude of your resultant force? 2.. What angle does it make From the positive xaxis? Now construct a third vector that will balance the two vectors at '15 ' and 110 . It must have the same magnitude as the resultant that it is pulling against [which you just calculated]. And it must be directed in the opposite direction as that you just calculated for the resultant. 1. What is the angle thatyou will place thenew vector at? 2. Which quadrant is itin? Place the third pulley at your calculated M hang the correct mass From the string. Conrm that the new force vector holds the ring in equilibrium by removing the nail