Physics

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A uniform piece of wire, 30 cm long, is bent in the center to give it an L-shape. How far from the bend is the center of mass?


I know that the center of mass is
([m1]x+[m2]x)/([m1]+m2]), but I don't quite understand how to apply it to this problem.

  • Physics -

    Do the calculations separately in the x and the y directions.

    Let each of the 15cm segments lie along the x, and y-axes, with the bend at the origin.

    Apply
    ([m1]x+[m2]x)/([m1]+m2])
    to get, along the x-axis:
    m1=15, m2=15, x1=7.5, x2=0
    x0=(m1x+m2x)/(m1+m2)
    =(7.5*15+0)/(15+15)
    =3.75
    Solve similarly for y0.

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