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52 In this lab you will be given two different se of vectors to add together. In Activity you will add position vectors; in Activity 2 you will add forces. Note: for each of the following procedures, you finding a resultant vector which is equal to the sum of all vectors. However, to the forces on the force table, you will need to find the equilibrant vector that is equal in magnitude but opposite in direction to the resultant (i.ee, difference). PRE-LAB ACTIVITY vector addition is an important concept in physics. To be well prepared for the lab you need to solve the following example. Make sure to show all your work in detail. Write the equations first, and then plug in the numerical values. Do not forget to do unit conversions. the component method to add the following vectors Fi and F2. vector Fi makes an angle Use of 200 with respect to the positive direction of the x-axis. It represents the weight due to a 100-g mass. Vector F: makes an angle of150° with respect to the direction of the x axis and represents the weight due to a 150-g mass. calculate both magnitude and direction of the resultant force FR Fs (that is, the Determine both magnitude a of the equilibrant force force which balances the resultant force) Use the graphical method Chead to tail drawing) to find the resultant and equilibrant forces. Note: When you solve the problem using the graphical method you need to choose an appropriate scale first. For example, you may choose represent a force of IN with an arrow of cm. this scale the of 1.5 will represented with 7.5-cm arrow on drawing. Be careful when you draw the angles. The angle determines the direction of the force and cannot be changed. Use a ruler and a protractor and make a neat drawing. Remember, your solution depends on how well you draw the vectors. When you draw the resultant vector, measure its length and determine its magnitude based on your scale. Also, measure the angle with respect to the positive x-axis to specify its direction. You will find a graphical solution for this problem on the following page. Make sure that you understand this solution, and then draw your own since you need to turn this in with the rest of your calculation. The length of the arrow which represents the resultant force in the figure below is 5.8 cm. Find the magnitude of the resultant force if the drawing is done on a scale where 0.98 Nis represented with a 5-cm long arrow. The direction is determined with angle of 108 with respect to the positive end of the x-axes.
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