Vector Composition & Decomposition Video Lessons

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Problem: The figure depicts the sum of two velocitiesPart (a) Find the component, in meters per second, of vtot along an x’-axis rotated 30° counterclockwise relative to the x-axis in the figure.vtot x’=Part (b) Find the component, in meters per second, of vtot along a y’-axis rotated 30° counterclockwise relative to the y-axis in the figure

FREE Expert Solution

In this problem, we are required to rotate the coordinate system and resolve a vector into its components. 

2D vector Components:

vx=|v| cos θvy=|v| sin θ

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Problem Details

The figure depicts the sum of two velocities

Part (a) Find the component, in meters per second, of vtot along an x’-axis rotated 30° counterclockwise relative to the x-axis in the figure.

vtot x’=


Part (b) Find the component, in meters per second, of vtot along a y’-axis rotated 30° counterclockwise relative to the y-axis in the figure


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