Solved:
Answered by AI, Verified by Human Experts
A square uniform raft, 18 m by 18 m , of mass 7100 kg , is used as a ferryboat.
A square uniform raft, 18 m by 18 m , of mass 7100 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.
xCM, yCM = m
xCM, yCM = 0, -3.27 m are thecoordinatesof the center of mass of the loaded ferryboat relative to the center of the raft.To find the coordinates of thecenterof mass (CM) of the loaded ferryboat, we need to consider themassandpositionof the raft and the three cars. We will use the following formulas for finding the x and y coordinates of the center of mass:xCM = (Σ mi * xi) / Σ miyCM = (Σ mi * yi) / Σ miwhere mi is the mass of each object and xi and yi are their respective x and y coordinates.Determine the coordinates of the raft and the cars- The raft's center (origin): (0, 0)- NE corner car: (9, 9)- SE corner car: (9, -9)- SW corner car: (-9, -9)Calculate xCMxCM = (7100 * 0 + 1350 * 9 + 1350 * 9 + 1350 * (-9)) / (7100 + 1350 + 1350 + 1350)xCM = (0 + 12150 - 12150) / (11150)xCM = 0 mCalculate yCMyCM = (7100 * 0 + 1350 * 9 + 1350 * (-9) + 1350 * (-9)) / (11150)yCM = (12150 - 12150 - 12150) / (11150)yCM = -3.27 mSo, the coordinates of the center of mass of the loaded ferryboat relative to the center of the raft are:xCM, yCM = 0, -3.27 mMore oncoordinates:brainly.com/question/17117535#SPJ11...