A 44.3-cm-by-44.3-cm checkerboard has a mass of 120.9 g. There are four 20.7-g c
ID: 1284485 • Letter: A
Question
A 44.3-cm-by-44.3-cm checkerboard has a mass of 120.9 g. There are four 20.7-g checkers located on the checkerboard, as shown in the figure. Relative to the origin located at the bottom left corner of the checkerboard, where is the center of mass of the checkerboard-checkers system?
find
1) xcm =
2) ycm =
A 44.3-cm-by-44.3-cm checkerboard has a mass of 120.9 g. There are four 20.7-g checkers located on the checkerboard, as shown in the figure. Relative to the origin located at the bottom left corner of the checkerboard, where is the center of mass of the checkerboard-checkers system? find 1) xcm = 2) ycm =Explanation / Answer
xcm = (m1*x1 + m2*x2 +m3*x3 +m4*x4 + m5*x5)/(m1+m2+m3+m4+m5)
xcm = ((120.9*22.15)+(20.7*0)+(20.7*0)+(20.7*44.3)+(20.7*44.3))/(120.9+20.7+20.7+20.7+20.7) = 22.15 cm
ycm = (m1*y1 + m2*y2 +m3*y3 +m4*y4 + m5*y5)/(m1+m2+m3+m4+m5)
ycm = ((120.9*22.15)+(20.7*0)+(20.7*44.3)+(20.7*44.3)+(20.7*0))/(120.9+20.7+20.7+20.7+20.7) = 22.15 cm