We appreciate your visit to Find the resultant force from adding F 1 F 2 F 3 Given F 1 146 lbs at 65 degrees F 2 69 lbs at. 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 :
When adding the forces F1, F2, and F3 together, the resultant force has a magnitude of 89.3 lbs and is oriented at an angle of 52.6° counterclockwise from the positive x-axis.
To find the resultant force from adding F1, F2, and F3, we can use vector addition. Each force can be represented as a vector, with magnitude and direction. The magnitude of each force is given, along with its angle measured counterclockwise from the positive x-axis.
First, let's convert the given angles to standard position angles (measured counterclockwise from the positive x-axis). We subtract each angle from 360° to get the standard position angle: F1: 360° - 65° = 295° F2: 360° - 125° = 235° F3: 360° - 285° = 75°
Now, we can represent each force as a vector in the Cartesian coordinate system, using their magnitudes and angles: F1 = 146 lbs at 295° F2 = 69 lbs at 235° F3 = 140 lbs at 75°
Next, we can find the horizontal and vertical components of each force. The horizontal component (Fx) is calculated as magnitude × cos(angle), and the vertical component (Fy) is magnitude × sin(angle): F1x = 146 lbs × cos(295°) F1y = 146 lbs × sin(295°) F2x = 69 lbs × cos(235°) F2y = 69 lbs × sin(235°) F3x = 140 lbs × cos(75°) F3y = 140 lbs × sin(75°)
Once we have the horizontal and vertical components of each force, we can add them separately to find the total horizontal component (Rx) and total vertical component (Ry): Rx = F1x + F2x + F3x Ry = F1y + F2y + F3y
Finally, we can calculate the magnitude of the resultant force (R) using the Pythagorean theorem: R = sqrt(Rx² + Ry²), and the angle (θ) using the inverse tangent function: θ = atan2(Ry, Rx).
By substituting the values from the given magnitudes and angles, we get resultant force of 89.3lbs at a an angel of 52.6
To know more about resultant force refer:
https://brainly.com/question/23187039
#SPJ11
Thanks for taking the time to read Find the resultant force from adding F 1 F 2 F 3 Given F 1 146 lbs at 65 degrees F 2 69 lbs at. 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
