*12-156. A particle P travels along an elliptical spiral

Chapter 12, Problem 12-156

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*12-156. A particle P travels along an elliptical spiral path such that its position vector r is defined by r = {2 cos(0.1 /)i + 1.5 sin(0.1/)j + (2/)k} m, where t is in seconds and the arguments for the sine and cosine are given in radians. When t = 8 s. determine the coordinate direction angles a. /3. and y, which the binormal axis to the osculating plane makes with the x, y, and z axes. Hint: Solve for the velocity xP and acceleration aP of the particle in terms of their i. j, k components. The binormal is parallel to v> x aP. Why?

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