A 2-kg particle travels along a path defined byr= (3 + 2t2) m, θ = [(1/3)t3+ 2] rad. andz= (5 -2t2) m,where t is in seconds. Determine the r,θ, z components of force that the path exerts on the particleat the instant t= 1 s.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A 2-kg particle travels along a path defined byr= (3 + 2t2) m, θ = [(1/3)t3+ 2] rad. andz= (5 -2t2) m,where t is in seconds. Determine the r,θ, z components of force that the path exerts on the particleat the instant t= 1 s.

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There are different coordinate systems such as Polar coordinate, Cylindrical, Spherical coordinates, etc. Each of them has different unit vectors we need to find those and then differentiate to get velocity and acceleration from position coordinates.

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