Question

The right panel shows the position vector (black), velocity vector (blue), and acceleration vector (red) at a point on this space curve determined from the following parametric form of the position vector, r e (t) = (a + δ cos(β t)) (cos(ω t) ˆı + sin(ω t) ˆ) + ξ cos(γ t) kˆ . Here, the cylindrical angle (azimuthal angle) φ = ω t. Particular values were chosen for the constants for the purpose of plotting, but the values can be ignored in the computations to follow. (i) Compute the cylindrical position vector. Note: the cylindrical position vector is useful for computing the velocity and acceleration but cannot be used to locate a unique position. (ii) Using the cylindrical position vector compute the velocity vector. (iii) Using the cylindrical velocity vector compute the acceleration vector.

Answer 1

仁ωθ 6) 08660s o -1 90 -05 | 0、86

C2) 1 ル to O 86 O S 0