Ferris Wheel Part 2

A Ferris wheel with radius \(r\) is rotating at constant angular speed \(\omega\). The position of a passenger at the rim of the wheel may be described by a direction angle \(\theta\):

  • \(\theta = 0^\circ\) at the right side of the wheel

  • \(\theta = -90^\circ\) at the bottom of the wheel

  • \(\theta = +90^\circ\) at the top of the wheel

Each passengers sits on a level (horizontal) seat. The coefficient of static friction between passenger and seat is \(\mu\).

Which of the following equations describes the maximum angular speed for the Ferris wheel that allows the passengers to remain in their seats without additional support?

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