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Find the Radius of Curvature of the Cycloid R = θ\theta

Question 82

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Find the radius of curvature of the cycloid r = a ( θ\theta - sin θ\theta ) i + a(1 - cos θ\theta ) j at the point θ\theta = π\pi . Assume that a > 0.


A) 4a
B)  Find the radius of curvature of the cycloid r = a ( \theta  - sin  \theta )  i + a(1 - cos  \theta )  j at the point  \theta  =   \pi . Assume that a > 0. A)  4a B)    C)  2a D)    E)  a
C) 2a
D)  Find the radius of curvature of the cycloid r = a ( \theta  - sin  \theta )  i + a(1 - cos  \theta )  j at the point  \theta  =   \pi . Assume that a > 0. A)  4a B)    C)  2a D)    E)  a
E) a

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