The Center of Mass of Three Particlessystem consists of three particles located as shown in the figure. Find the center of mass of the system. The masses arem, = m, = 1.0 kg and m, = 2.0 kg.Two 1.0 kg particles are located on the x-axis,and a single 2.0 kg particle is located on they-axis as shown. The vector indicates the locationof the system's center of mass.у (m)x (m)3.1SOLUTIONConceptualize The figure shows the three masses. Your intuition should tell you that the center of mass is located somewhere inthe region between the blue particle and the pair of tan particles as shown in the figure.problem because we will be using the equations for the center of massCategorize We categorize this example as --Select---developed in this section.(For the next three answers, use the following as necessary: m,, m2, m3, Y1, Y2, Y3, X1, X2, and x3. Do not substitute numericalvalues; use variables only.)Use the defining equations for the coordinates of the center of mass and notice that zCM = 0:XCM =mx;m,x1 + m2x2 + m3×3YCM =m,Y1 + m2Y2 +m, + m2 + m3Write the position vector of the center of mass (Enter the components in meters.):rCM = XCMI + YCM)EXERCISEIn the example, a fourth particle of mass k· m, (k > 0), is brought to the system at the origin such that the resulting ycM is at0.90 m. Find k.Hintk =Need Help?Read ItSubmit Answer

So its very simple. We will first locate the coordinates of all the masses and we will use formulas…

Answered: A system consists of three particles…

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