Solved: Compute the radius of curvature of the path, Mechanical Engineering

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Compute the radius of curvature of the path

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Q: The two-dimensional motion of a particle is defined by the relations r = 2 B cos(At/2B) and θ= At/ 2B, where r is expressed in meters, t in seconds, and θ in radians. Knowing that A and B are constants, determine

(a) The magnitudes of the velocity and acceleration at any instant,

(b) The radius of curvature of the path. What conclusion can you draw regarding the path of the particle?

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Mechanical Engineering: Compute the radius of curvature of the path

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