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Need help findings components of vector and magnitude question in lab. Can someone help me find angle between R and C please? Also help filling out the component table.

Need help findings components of vector and magnitude question in lab. Can someone help me find angle between R and C please? Also help filling out the component table.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Need help findings components of vector and magnitude question in lab.

Can someone help me find angle between R and C please? Also help filling out the component table.

 

**Educational Website Text: Three-Force System Analysis** **Table 1 - Three-Force System** - **Magnitude of A**: 2.2 N - **Direction of A (x-axis)**: 0° - **Magnitude of B**: 1.54 N - **Direction of B (x-axis)**: 135° - **Magnitude of C**: 1.51 N - **Direction of C**: 225° - **Magnitude of R**: 3.289 - **Direction of R**: 26.3° - **Difference between R and C (percentage)**: 54.1% - **Angle between R and C**: **Diagram Explanation** The diagram is a vector illustration of a three-force system. It shows three force vectors, A, B, and C, and a resultant force R. - **Vector A** has a magnitude of 2.2 N directed at 0° along the x-axis. - **Vector B** is directed at 135° with a magnitude of 1.54 N. - **Vector C** points at 225° with a magnitude of 1.51 N. - The resultant vector **R** has a magnitude of 3.289 and is oriented at 26.3°. The diagram includes a triangle showing the graphical summation of vectors. The vectors are represented by arrows: - **R** is depicted as the diagonal of the triangle formed with **A** and **B**. - The angles and magnitude relationships between the vectors are marked clearly. **Table 2 - Components of Three-Force System** (This table requires calculations based on Table 1 values.) | | \( A_x \) | \( A_y \) | \( B_x \) | \( B_y \) | \( C_x \) | \( C_y \) | \( R_x \) | \( R_y \) | \( |C| - |R| \) | |------|----------|----------|----------|----------|----------|----------|----------|----------|-------------------| | Components | | | | | | | | | | The table is intended for calculating the x and y components of each force vector using trigonometric functions based on the angles provided in Table 1. The absolute difference between the magnitudes of C and
Transcribed Image Text:**Educational Website Text: Three-Force System Analysis** **Table 1 - Three-Force System** - **Magnitude of A**: 2.2 N - **Direction of A (x-axis)**: 0° - **Magnitude of B**: 1.54 N - **Direction of B (x-axis)**: 135° - **Magnitude of C**: 1.51 N - **Direction of C**: 225° - **Magnitude of R**: 3.289 - **Direction of R**: 26.3° - **Difference between R and C (percentage)**: 54.1% - **Angle between R and C**: **Diagram Explanation** The diagram is a vector illustration of a three-force system. It shows three force vectors, A, B, and C, and a resultant force R. - **Vector A** has a magnitude of 2.2 N directed at 0° along the x-axis. - **Vector B** is directed at 135° with a magnitude of 1.54 N. - **Vector C** points at 225° with a magnitude of 1.51 N. - The resultant vector **R** has a magnitude of 3.289 and is oriented at 26.3°. The diagram includes a triangle showing the graphical summation of vectors. The vectors are represented by arrows: - **R** is depicted as the diagonal of the triangle formed with **A** and **B**. - The angles and magnitude relationships between the vectors are marked clearly. **Table 2 - Components of Three-Force System** (This table requires calculations based on Table 1 values.) | | \( A_x \) | \( A_y \) | \( B_x \) | \( B_y \) | \( C_x \) | \( C_y \) | \( R_x \) | \( R_y \) | \( |C| - |R| \) | |------|----------|----------|----------|----------|----------|----------|----------|----------|-------------------| | Components | | | | | | | | | | The table is intended for calculating the x and y components of each force vector using trigonometric functions based on the angles provided in Table 1. The absolute difference between the magnitudes of C and
Expert Solution
Step 1

Magnitude of A =2.2 N and direction is along x-axis.

Magnitude of B =1.54 N and makes 1350 with x axis or 180-35=45o with -x axis

Magnitude of C =1.51 N and makes 2250 with x axis or 225-180=45o with the -x axis

Magnitude of R is 3.289 and it makes 26.3o with x axis

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