Four masses are located at the corners of a rectangle with the horizontal side o

Question

Four masses are located at the corners of a rectangle with the horizontal side of length 75.0 cm and the vertical sides of length 90.0 cm. A 0.50-kg mass is located at the upper left corner, a 2.00-kg mass is located at the upper right corner, a 3.00-kg mass is located at the lower left corner, and a 1.50-kg mass is located at the lower right corner. Find the center of mass of the system, writing it in unit vector notation given that the left lower corner of the rectangle is the location of the origin of a rectangular coordinate system.

Explanation / Answer

x(cm)=3*0+0.5*0+2*75+1.5*75/(3+0.5+1.5+2)=37.5 cm ycm=2.5*90/7=32.14 cm

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