The motion of a particle along a fixed path is defined by the parametric equations r =
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The motion of a particle along a fixed path is defined by the parametric equations r = b, θ = ct and z = dt2. Determine the unit vector that specifies the direction of the binormal axis to the osculating plane with respect to a set of fixed x, y, z coordinate axes when t = t1. Formulate the particle’s velocity vp and acceleration ap in terms of their i, j, k components. Note that x = rcos (θ) and y = r sin(θ). The binormal is parallel to vp × ap. Why? Given:
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