18. Find the Resultant Force using a Graphic Method 26° C = 300 # 15° A = 75 For extra credit, verify with analytical method B= 250 # D= 200 # 4-
18. Find the Resultant Force using a Graphic Method 26° C = 300 # 15° A = 75 For extra credit, verify with analytical method B= 250 # D= 200 # 4-
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Question
Vector Addition scale we can create our own for the graphic method
Transcribed Image Text:Title: Graphical Method for Finding the Resultant Force
Objective: Determine the resultant force using a graphical method.
Diagram Explanation:
The diagram illustrates four forces acting on a point in a plane, represented as vectors. Each vector has a specified magnitude and direction:
1. **Force A**:
- Magnitude: 75 pounds (#)
- Direction: Acts at an angle, forming a 3:4 slope with the horizontal.
2. **Force B**:
- Magnitude: 250 pounds (#)
- Direction: Oriented at an angle of 26 degrees from the vertical axis.
3. **Force C**:
- Magnitude: 300 pounds (#)
- Direction: Positioned at an angle of 15 degrees from the horizontal axis.
4. **Force D**:
- Magnitude: 200 pounds (#)
- Direction: Acts vertically downward.
Task:
- Use a graphic method to find the resultant of these four forces by vector addition.
- For additional practice, verify the resultant using an analytical method.
Note: The graphical method involves drawing each vector to scale on a grid and using head-to-tail addition to determine the resultant vector's magnitude and direction.
Extra Credit:
Verify your solution using an analytical method, such as resolving each vector into its rectangular components and applying vector addition principles.
Expert Solution
Step 1 Introduction
Force is a vector quantity which corresponds to the rate of change in momentum. It is also defined as the acceleration of a uniform mass object by Newton second law of motion.
The Resultant vector of numerous vectors corresponds to a vector which can replace those vectors without changing the effects. So, the resultant vector can be found using either graphical method or analytical method.
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