A 32-cm-by-32-cm checkerboard has a mass of 112 g. There are four 15-g checkers

Question

A 32-cm-by-32-cm checkerboard has a mass of 112 g. There are four 15-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?

x =

y =

A 32-cm-by-32-cm checkerboard has a mass of 112 g. There are four 15-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? x = y =

Explanation / Answer

32 cm side means each square is of side 4 cm.
centre of mass of board = (16,16)
now

Xcm = (112(16) + 15(6 + 14 + 22 +30))/(112 + 4*15)

= 16.697 cm

Ycm = (112(16) + 15(10 + 14 + 22 + 30))/(112 + 4*15)

= 17.04 cm

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