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]\( y \)[/tex]-component of the total force acting on the chair, we need to determine how each of the given forces contributes in the vertical direction. Here's how we can do it step-by-step:
1. Identify the Forces and Angles:
- The first force is 122 N, applied at an angle of [tex]\( 43.6^\circ \)[/tex] from the horizontal.
- The second force is 97.6 N, applied at an angle of [tex]\( 49.9^\circ \)[/tex] from the horizontal.
2. Calculate the [tex]\( y \)[/tex]-component of Each Force:
- To find the [tex]\( y \)[/tex]-component of a force, we use the sine function, which gives us the vertical component of a force at an angle.
- For the first force:
[tex]\[
F_{y1} = 122 \, \text{N} \times \sin(43.6^\circ) \approx 84.13 \, \text{N}
\][/tex]
- For the second force:
[tex]\[
F_{y2} = 97.6 \, \text{N} \times \sin(49.9^\circ) \approx 74.66 \, \text{N}
\][/tex]
3. Add the [tex]\( y \)[/tex]-components Together:
- The total [tex]\( y \)[/tex]-component of the force is the sum of the individual [tex]\( y \)[/tex]-components from each force.
[tex]\[
F_{y_{\text{total}}} = F_{y1} + F_{y2} \approx 84.13 \, \text{N} + 74.66 \, \text{N} = 158.79 \, \text{N}
\][/tex]
Thus, the [tex]\( y \)[/tex]-component of the total force acting on the chair is approximately [tex]\( 158.79 \, \text{N} \)[/tex].
1. Identify the Forces and Angles:
- The first force is 122 N, applied at an angle of [tex]\( 43.6^\circ \)[/tex] from the horizontal.
- The second force is 97.6 N, applied at an angle of [tex]\( 49.9^\circ \)[/tex] from the horizontal.
2. Calculate the [tex]\( y \)[/tex]-component of Each Force:
- To find the [tex]\( y \)[/tex]-component of a force, we use the sine function, which gives us the vertical component of a force at an angle.
- For the first force:
[tex]\[
F_{y1} = 122 \, \text{N} \times \sin(43.6^\circ) \approx 84.13 \, \text{N}
\][/tex]
- For the second force:
[tex]\[
F_{y2} = 97.6 \, \text{N} \times \sin(49.9^\circ) \approx 74.66 \, \text{N}
\][/tex]
3. Add the [tex]\( y \)[/tex]-components Together:
- The total [tex]\( y \)[/tex]-component of the force is the sum of the individual [tex]\( y \)[/tex]-components from each force.
[tex]\[
F_{y_{\text{total}}} = F_{y1} + F_{y2} \approx 84.13 \, \text{N} + 74.66 \, \text{N} = 158.79 \, \text{N}
\][/tex]
Thus, the [tex]\( y \)[/tex]-component of the total force acting on the chair is approximately [tex]\( 158.79 \, \text{N} \)[/tex].
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
