Complexity Of Frame Changes

A ring of radius \(R\) is rolling without slipping on a horizontal surface at a linear speed of \(v\).

Let \(P\) and \(Q\) be two points on the ring, as shown in the figure above.

Find the radius of curvature of the path traveled by \(P\) as observed from \(Q\).

Details and Assumptions:

  • Take \(R = 10\text{ m}, v = 25 \text{ m/s},\) and \(\theta = 30^{\circ}\).

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