Continue to consider the polygon with vertices at to p = 10 9 -0--0--8~-H = 5 ,P3 = -3 and = -23 P = 12 1 3 1 Suppose we want to move the center of mass of the polygon by placing unequal masses at its vertices. Furthermore, suppose we have a total of 20 grams of masses to place at the 4 vertices and that we'd like to move the balancing point A 0 1 20 10 Change the center of mass in the Maple worksheet (highlighted in orange) to 0 to verify that this point is indeed inside the polygon. Using the image as a guide, do you think vertex p or vertex p4 should have the larger mass associated with it to achieve this balancing point? Explain. Include a screenshot of the Maple plot as part of your discussion. Remember that we have masses totaling 20 grams to distribute to the four vertices. Assuming that we place a mass of w grams a vertex p, a mass of w grams at vertex p2, a mass of w3 grams at vertex P3 and a mss of w4 grams at vertex P4, find a distribution of masses (i.e. values of w, W2, W3 and w4) that moves the center of mass to 94 P = 0 Explain your reasoning. Again, I hope you will use technology to help you with his task. Make sure to 2 10 H 0 =p= [w1p1 + w2p2+W3P3 + w4P4] =W 2 5 explain how you are using technology and what the results are. Also, be sure to carefully interpret the results and to use the language of our class throughout. Hint: You want to find masses w, W2, W3 and w4 such that and +w2 20 W w2 + w3 + W4 20 +W3 20 +WA