http://www.webassign.net/sercp9/8-figure-11-alt.gif Use the worked example above

Question

http://www.webassign.net/sercp9/8-figure-11-alt.gif Use the worked example above to help you solve this problem. Consider the figure below, where m1 = 5.81 kg, m2 = 2.23 kg, m3 = 4.17 kg, d1 = 0.438 m, and d2 = 1.09 m. Treat the objects as point particles. Use the values from PRACTICE IT to help you work this exercise. If a fourth particle of mass 1.93 kg is placed at (0 m, 0.315 m) in Figure (a), find the x- and y-coordinates of the center of gravity for this system of four particles. x center of gravity = .141 y center of gravity = ?

Explanation / Answer

Xcm=m1x1+m2x2+m3x3+m4x4/m1+m2+m3+m4=5.81*-1.93+ m2*0 +4.17*1.09 +0/(5.81+2.23+4.17+1.93)=0.471 Ycm=m1y1+m2y2+m3y3/m1+m2+m3+m4=1.93*0.315/(5.81+2.23+4.17+1.93)=0.042 X,Y= (0.471,0.042)

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