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11. Find the coordinate of the center of mass of the following array of particle

ID: 1438582 • Letter: 1

Question

11. Find the coordinate of the center of mass of the following array of particles. Show all work!

Document1 [Compatibility Mode] Word a Restore FILE HOME INSERT DESIGN PAGE LAYOUT REFERENCES MAILINGS REVIEW VIEW Move G Cut E Copy Size Calibri (Body) 111 AA Aa- Paste e» | TNormal TNO Spac Heading 1 Heading 2 Title Subtitle Subtle Em.. Emplo Maximize Format Painter Clipboard Font Paragraph Styles xClose Alt+F4 3.0 kg (0, 0.50 m) 1.0 kg (-1.00, 0) 2.0 kg (1.0, 0) PAGE 1 OF 1 16wORDS + 100% 3/16/2016

Explanation / Answer

GIVEN DATA: m1=2kg,m2=3kg,m3=1kg,x1=1,x2=0,x3=-1,y1=0,y2=0.50,y3=0

formula for center of mass Xcm =(m1*x1+m2*x2+m3*x3)/(m1+m2+m3)

Xcm =(2*1+3*0+1*(-1))/(2+3+1)=0.166cm

Ycm =(m1*y1+m2*y2+m3*y3)/(m1+m2+m3)

Ycm =(2*0+3*(0.50)+1*0)/(2+3+1)=0.25 cm

( Xcm , Ycm ) =(0.166,0.25)

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