1. The vector OP shown in the figure has a length of 12.0 cm. Two sets of perpendicular axes, x-y and x'-y', are shown. Express OP in terms of its x and y components in each set of axes. (a) Calculate the projections of OP along the x and y directions. Enter to 2 significant figures (OP)x (OP), = = OP = ✓cm (b) Calculate the projections of OP along the x and y directions. Enter to 2 significant figures (OP)x (OP) y¹ = Enter to 2 significant figures OP= ✔cm P /30° fo 30° ✔cm X' (c) Use the projections of OP along the x and y directions to calculate the magnitude of OP using OP=√(OP)²+(OP)². ✓cm (d) Use the projections of OP along the x' and y' directions to calculate the magnitude of OP using =√√(OPx)² + (OP)². Enter to 2 significant figures OP= ✔cm (e) What can you conclude about the magnitude of a vector with respect to rotated coordinate axes? The magnitude of the vectors using components in different coordinate axes that are rotated with respect to each other ✓ change.
1. The vector OP shown in the figure has a length of 12.0 cm. Two sets of perpendicular axes, x-y and x'-y', are shown. Express OP in terms of its x and y components in each set of axes. (a) Calculate the projections of OP along the x and y directions. Enter to 2 significant figures (OP)x (OP), = = OP = ✓cm (b) Calculate the projections of OP along the x and y directions. Enter to 2 significant figures (OP)x (OP) y¹ = Enter to 2 significant figures OP= ✔cm P /30° fo 30° ✔cm X' (c) Use the projections of OP along the x and y directions to calculate the magnitude of OP using OP=√(OP)²+(OP)². ✓cm (d) Use the projections of OP along the x' and y' directions to calculate the magnitude of OP using =√√(OPx)² + (OP)². Enter to 2 significant figures OP= ✔cm (e) What can you conclude about the magnitude of a vector with respect to rotated coordinate axes? The magnitude of the vectors using components in different coordinate axes that are rotated with respect to each other ✓ change.
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 2.3CYU: Check Your understanding Using the three displacement vectors A , B , and F in Figure 2.13, choose a...
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Step 1: Determine the given variables.
VIEWStep 2: Determine the components of vector OP along x-y axis and x'-y' axis
VIEWStep 3: Determine magnitude of OP for x-y axis and x'-y' axis
VIEWStep 4: Find if magnitude of vector using comp in different coordinate axes rotated with each other change
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