The rotor of Figure P1.6 consists of a disk mounted on a shaft. Unfortunately, the disk is

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The rotor of Figure P1.6 consists of a disk mounted on a shaft. Unfortunately, the disk is unbalanced, and the center of mass is a distance \(e\) from the center of the shaft. As the disk rotates, this causes a phenomena called "whirl", where the disk bows. Let \(r\) be the instantaneous distance from the center of the shaft to the original axis of the shaft and \(\theta\) be the angle made by a given radius with the horizontal. Determine the acceleration of the mass center of the disk.

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