A square uniform raft, 16 m by 16 m , of mass 7350 kg , is used as a ferryboat.
If three cars, each of mass 1350 kg , occupy the NE, SE, and SW
corners, determine the coordinates of the CM of the loaded
ferryboat relative to the center of the raft. Take the origin to be
at the CM of the raft.
Express your answer using two significant figures. Enter your
answers numerically separated by a comma.
center of mass of raft will be at its geometric center. This is where the origin is
coordinates of the three cars with respect to the origin are:
car at NE : (8,8)
car at SE : (8,-8)
car at SW: (-8,-8)
center of mass of the loaded ferryboat is (x,y)
x=[(7350*0)+(1350*8)+(1350*8)+(1350*-8)]/(7350+1350+1350+1350)=0.947 m
y=[(7350*0)+(1350*8)+(1350*-8)+(1350*-8)]/(7350+1350+1350+1350)=-0.947 m
Therefore, the center of mass of loaded feryyboat is at (0.947,-0.947)
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