We appreciate your visit to A chair is pulled by two horizontal forces The first force is 122 N at an angle of tex 43 6 circ tex and the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To find the [tex]\( x \)[/tex]-component of the total force acting on the chair, you need to consider the contributions from both forces.
### Steps to Calculate the [tex]\( x \)[/tex]-component:
1. Identify the Forces and Angles:
- First force [tex]\( F_1 = 122 \)[/tex] N at an angle of [tex]\( 43.6^\circ \)[/tex].
- Second force [tex]\( F_2 = 97.6 \)[/tex] N at an angle of [tex]\( 49.9^\circ \)[/tex].
2. Convert Angles to Radians:
- Although calculations were likely done in radians, when understanding manually, they are typically done using degrees on basic calculators. However, computers often use radians.
3. Calculate the [tex]\( x \)[/tex]-component for Each Force:
- The [tex]\( x \)[/tex]-component of a force can be calculated using the cosine of its angle:
[tex]\[
F_{1x} = F_1 \cdot \cos(43.6^\circ)
\][/tex]
[tex]\[
F_{2x} = F_2 \cdot \cos(49.9^\circ)
\][/tex]
4. Add the [tex]\( x \)[/tex]-components:
- Add the [tex]\( x \)[/tex]-components of the two forces to get the total [tex]\( x \)[/tex]-component:
[tex]\[
F_x = F_{1x} + F_{2x}
\][/tex]
### Results:
- [tex]\( F_{1x} \)[/tex]: This component is approximately 88.35 N.
- [tex]\( F_{2x} \)[/tex]: This component is approximately 62.87 N.
- Total [tex]\( x \)[/tex]-component ([tex]\( F_x \)[/tex]): By summing these components, the total [tex]\( x \)[/tex]-component is approximately 151.22 N.
So, the [tex]\( x \)[/tex]-component of the total force acting on the chair is around 151.22 N.
### Steps to Calculate the [tex]\( x \)[/tex]-component:
1. Identify the Forces and Angles:
- First force [tex]\( F_1 = 122 \)[/tex] N at an angle of [tex]\( 43.6^\circ \)[/tex].
- Second force [tex]\( F_2 = 97.6 \)[/tex] N at an angle of [tex]\( 49.9^\circ \)[/tex].
2. Convert Angles to Radians:
- Although calculations were likely done in radians, when understanding manually, they are typically done using degrees on basic calculators. However, computers often use radians.
3. Calculate the [tex]\( x \)[/tex]-component for Each Force:
- The [tex]\( x \)[/tex]-component of a force can be calculated using the cosine of its angle:
[tex]\[
F_{1x} = F_1 \cdot \cos(43.6^\circ)
\][/tex]
[tex]\[
F_{2x} = F_2 \cdot \cos(49.9^\circ)
\][/tex]
4. Add the [tex]\( x \)[/tex]-components:
- Add the [tex]\( x \)[/tex]-components of the two forces to get the total [tex]\( x \)[/tex]-component:
[tex]\[
F_x = F_{1x} + F_{2x}
\][/tex]
### Results:
- [tex]\( F_{1x} \)[/tex]: This component is approximately 88.35 N.
- [tex]\( F_{2x} \)[/tex]: This component is approximately 62.87 N.
- Total [tex]\( x \)[/tex]-component ([tex]\( F_x \)[/tex]): By summing these components, the total [tex]\( x \)[/tex]-component is approximately 151.22 N.
So, the [tex]\( x \)[/tex]-component of the total force acting on the chair is around 151.22 N.
Thanks for taking the time to read A chair is pulled by two horizontal forces The first force is 122 N at an angle of tex 43 6 circ tex and the. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
