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*12-152. 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(0.17)j + (21)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, ß, and y, which the binormal axis to the osculating plane makes with the x, y, and z axes. Hint: Solve for the velocity vp and acceleration ap of the particle in terms of their i, j, k components. The binormal is parallel to vp X ap. Why?

*12-152. 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(0.17)j + (21)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, ß, and y, which the binormal axis to the osculating plane makes with the x, y, and z axes. Hint: Solve for the velocity vp and acceleration ap of the particle in terms of their i, j, k components. The binormal is parallel to vp X ap. Why?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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*12-152. 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(0.17)j + (21)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, ß, and y, which the binormal axis to the osculating plane makes with the x, y, and z axes. Hint: Solve for the velocity vp and acceleration ap of the particle in terms of their i, j, k components. The binormal is parallel to vp X ap. Why?
Transcribed Image Text:*12-152. 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(0.17)j + (21)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, ß, and y, which the binormal axis to the osculating plane makes with the x, y, and z axes. Hint: Solve for the velocity vp and acceleration ap of the particle in terms of their i, j, k components. The binormal is parallel to vp X ap. Why?
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