Answered: Obtain expressions in component form…

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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Obtain expressions in component form for the following polar coordinates. A) 13.0 m, 140 degrees counterclockwise from the x axis. B) 3.80 cm , 80 degrees counterclockwise from the x axis . C) 20 inches , 220 degrees counterclockwise from the x axis

Expert Solution

Step 1

The projections of vector R on the axis:

$\begin{array}{rcl} R_{x} & = & R \cos (θ) \\ R_{y} & = & R \sin (θ) \end{array}$

The vector in the component notation:

$\begin{array}{rcl} \vec{R} & = & (R_{x}, R_{y}) \\ = & \vec{i} R_{x} + \vec{j} R_{y} \end{array}$

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