A particle undergoes three consecutive displacements: (15i + 30j + 12k) cm, d, = (-13i + 15j) cm. Find the components of the (23i-14j-5.0k) cm Your fir %3D d = and ds = (-13i %D the orig %3D resultant displacement and its magnitude. De sions, Solution Three-dimensional displacements are more diffi- cult to imagine than those in two dimensions, because the latter can be drawn on paper. For this problem, let us concep- tualize that you start with your pencil at the origin of a piece of graph paper on which you have drawn x and y axes. Move your pencil 15 cm to the right along the x axis, then 30 cm upward along the y axis, and then 12 cm vertically away from the graph paper. This provides the displacement described by dj. From this point, move your pencil 23 cm to the right parallel to the x axis, 14 cm parallel to the graph paper in to the for ve this n nized The the -y direction, and then 5.0 cm vertically downward to- R. ward the graph paper. You are now at the displacement from the origin described by d + d2. From this point, move your pencil 13 cm to the left in the - x direction, and (fi- nally!) 15 cm parallel to the graph paper along the y axis.

A particle undergoes three consecutive displacements: (15i + 30j + 12k) cm, d, = (-13i + 15j) cm. Find the components of the (23i-14j-5.0k) cm Your fir %3D d = and ds = (-13i %D the orig %3D resultant displacement and its magnitude. De sions, Solution Three-dimensional displacements are more diffi- cult to imagine than those in two dimensions, because the latter can be drawn on paper. For this problem, let us concep- tualize that you start with your pencil at the origin of a piece of graph paper on which you have drawn x and y axes. Move your pencil 15 cm to the right along the x axis, then 30 cm upward along the y axis, and then 12 cm vertically away from the graph paper. This provides the displacement described by dj. From this point, move your pencil 23 cm to the right parallel to the x axis, 14 cm parallel to the graph paper in to the for ve this n nized The the -y direction, and then 5.0 cm vertically downward to- R. ward the graph paper. You are now at the displacement from the origin described by d + d2. From this point, move your pencil 13 cm to the left in the - x direction, and (fi- nally!) 15 cm parallel to the graph paper along the y axis.

Name: cult to imagine than those in two dimensions, because thelatter can b
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Description: cult to imagine than those in two dimensions, because thelatter can be drawn on paper. For this problem, let us concep-A particle undergoes three consecutive displacements:(15i + 30j + 12k) cm, d2 = (23i - 14j-5.0kcm. Find the components of theSolut

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 2.2CYU: Check Your Understanding A cave diver enters a tong underwater tunnel. When her displacement with...

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