A 31.1-cm-by-31.1-cm checkerboard has a mass of 95.3 g. There are four 23.3-g ch

Question

A 31.1-cm-by-31.1-cm checkerboard has a mass of 95.3 g. There are four 23.3-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?

xcm =

ycm =

A 31.1-cm-by-31.1-cm checkerboard has a mass of 95.3 g. There are four 23.3-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? xcm = ycm =

Explanation / Answer

Xcm = M*X+m1*x1+m2*x2+m3*x3+m4*x4/(m1+m2+m3+m4)

Xcm = (95.3*(31.1/2))+(23.3*1.5+23.3*3.5+23.3*5.5+23.3*7.5)*3.8875/(M+4*m = 16.51 cm

Ycm = (95.3*(31.1/2))+(23.3*3.5+23.3*5.5+23.3*2.5+23.3*7.5)*3.8875/(M+4*m

Ycm = 16.99 cm

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