A bead slides along a fixed circular helix of radius R and helical inclination a

Question

A bead slides along a fixed circular helix of radius R and helical inclination angle ? as shown in Fig. P2-8. Knowing that the angle ? measures the position of the bead and is equal to zero when the bead is at the base of the helix, determine the following quantities relative to an observer fixed to the helix: (a) the arc-length parameter s as a function of the angle ?; (b) the intrinsic basis {et , en, eb} and the curvature of the trajectory as a function of the angle ?; and (c) the velocity and acceleration of the particle in terms of the intrinsic basis {et , en, eb}.

Explanation / Answer

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