A particle moves in space along a path whose parametric equations are given by x1 = b sin(wt), x2 = b cos(wt), x3 = c where b and c are constants. a. Find its position at vector 7, velocity v, and acceleration å at any time t. b. Show that the particle traverses its path with constant speed and that its distance from the origin remains constant. c. Show that the acceleration is perpendicular to the velocity and the x3-axis. d. Determine the trajectory of the particle, that is, the path described in terms of spatial coordinates only. Sketch the trajectory. 1.
A particle moves in space along a path whose parametric equations are given by x1 = b sin(wt), x2 = b cos(wt), x3 = c where b and c are constants. a. Find its position at vector 7, velocity v, and acceleration å at any time t. b. Show that the particle traverses its path with constant speed and that its distance from the origin remains constant. c. Show that the acceleration is perpendicular to the velocity and the x3-axis. d. Determine the trajectory of the particle, that is, the path described in terms of spatial coordinates only. Sketch the trajectory. 1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 53E
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