Locate the center of gravity (x, y) of the sheet-metal bracket if the material is homogeneous and has a constant thickness. If the bracket is resting on the horizontal x?y plane shown, determine the maximum angle of tilt ? which it can have before it falls over, i.e., begins to rotate about the y axis.

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-20 mm 60 mm 60 mm 10 mm dia. holes 20 mm- 20 mm 80 mm 20 m mt 60 mm