Resolve the force F1 into components acting along the u and v axes and determine

Описание: Resolve the force F1 into components acting along the u and v axes and determine the magnitudes of the components.



















Answer














Problem:
Resolve the force F1 into components acting along the u and v axes and determine the magnitudes of the components.

Solution Steps:

1. *Identify the Force and Axes:*
Force F1 is acting at some angle to the u and v axes.
Let θ be the angle between F1 and the u axis.

2. *Resolve the Force into Components:*
The components of force F1 along the u and v axes can be found using trigonometry:
F1u = F1 * cos(θ), where F1u is the component of F1 along the u-axis.
F1v = F1 * sin(θ), where F1v is the component of F1 along the v-axis.

3. *Determine the Magnitudes of the Components:*
The magnitudes of the components are the absolute values of F1u and F1v:
|F1u| = F1 * cos(θ)
|F1v| = F1 * sin(θ)

4. *Final Answers:*
Component along the u-axis: |F1u| = *[value]* N/lb
Component along the v-axis: |F1v| = *[value]* N/lb