The circular disk rotates about an axis through its center O and has three holes of

Chapter 5, Problem 5/225

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The circular disk rotates about an axis through its center O and has three holes of diameter d positioned as shown. A fourth hole is to be drilled in the disk at the same radius r so that the disk will be in balance (mass center at O). Determine the required diameter D of the new hole and its angular position.

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