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Three identical uniform meter sticks are placed on the floor. The first stick lies along the y axis from y = 0.320 m to y = 1.32 m. The second stick lies along the x axis from x = 0.330 m to x = 1.33 m. The third stick is positioned so that one end is on the x axis at x = 0.640 m, and the other end is on the y axis at y = 0.768 m. Calculate the location of the center of mass of the meter sticks.

  • physics -

    since all the sticks are the same size and mass, the center is just the average of all the (x,y) midpoints:

    (0,(.32+1.32)/2)
    ((.33+1.33)/2,0)
    (.64/2,.768/2)

    so, the center of mass is at

    ((0+(.33+1.33)/2+.64/2)/3,((.32+1.32)/2+0+.768/2)/3)
    = (0.383,0.401)

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