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The problem states: For an artistic mobile, three balls aresuspended by thin str

ID: 1750117 • Letter: T

Question

The problem states: For an artistic mobile, three balls aresuspended by thin strings from a 1kg rigid rod as shown in diagram.The masses of he balls are shown in the figure. The verticaldistance show is the distance from the rod to the center of eachball. a) Using the coordinate system shown in the diagram, find thex and y coordinates of the center of mass of the system. (Ignoremass of the strings).What is the location of the COM on thediagram? Explain reasoning. b) The art gallery director wants you to support the assemblywith a thin cord attached to the rod so that the rod remainshorizontal. Where do you attach the cord? Explain. Help with the problem would make you a LIFE SAVER both forkarma points and because I am truly stuck here. I started usingxcom= m=mx and ycom=my. but thatgave me the COM as being 75cm below so obviously that method didntwork. Please help thank you!

Explanation / Answer

Hello, To find the center of mass of the system you find the x coordinateof the center of mass and then the y coordinate. Rememberthat the center of mass with respect to each coordinate is aweighted average. You are finding the average x and yposition in the system and each x or y value is assigned greater orlesser value depending on the amount of mass at thatposition. In other words the more mass at a particular point,the more it affects the overall average. The formula for theXcom is this Xcom = (maxa + mbxb +.......+ mnxn) / (the total mass) => Xcom =( mi*xi) / ( mi)