### Truss Analysis Using Method of Sections#### Problem Statement:As shown, a truss is loaded by the forces \( P_1 = 497 \) lb and \( P_2 = 192 \) lb and has the dimension \( a = 10.8 \) ft. Determine \( F_{CG} \) and \( F_{GH} \), the magnitudes of the forces in members \( CG \) and \( GH \), respectively, using the method of sections. Assume for your calculations that each member is in tension, and include in your response the sign of each force that you obtain by applying this assumption.#### Instructions:Express your answers numerically in pounds to three significant figures separated by a comma.#### Diagram Explanation:- The truss is outlined with points labeled A, B, C, D, E, G, and H.- The forces \( P_1 \) and \( P_2 \) are applied at points G and H respectively.- The horizontal distance between points A and B, D and E is \( a = 10.8 \) ft.- The distance between points B and C, C and D is \( a/2 = 5.4 \) ft.- The vertical distance from points A, B, C, D, E to the higher points G and H is also \( a = 10.8 \) ft.#### Detailed Graph/Diagram Explanation:- **Point Labels and Layout:** - Points A and E are at the base on either side of the truss. - Points B, C, and D are intermediary points on the base of the truss. - Points G and H are on the top of the truss. - **Forces and Dimensions:** - \( P_1 \) is acting downward at point G. - \( P_2 \) is acting horizontally toward the right at point H. - The dimensions \( a \) and \( a/2 \) are labeled to indicate the truss geometry.#### Response Input:- Provide your numerical answers for \( F_{CG} \) and \( F_{GH} \) to three significant figures in the designated input box, separated by a comma.##### Input Box:\[F_{CG}, F_{GH} = \_\_\_\_, \_\_\_\_ \text{ lb}\]#### Submission:After entering your

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P2 E B D a/2 a/2 As shown, a truss is loaded by the forces P = 497 lb and P = 192 lb and has the dimension a = 10.8 ft . Determine Fac and FeH, the magnitudes of the forces in members CG and GH, respectively, using the method of sections. Assume for your calculations that each member is in tension, and include in your response the sign of each force that you obtain by applying this assumption. Express your answers numerically in pounds to three significant figures separated by a comma. > View Available Hint(s) HVα ΑΣφ It vec Fcc, FGH = lb Submit

P2 E B D a/2 a/2 As shown, a truss is loaded by the forces P = 497 lb and P = 192 lb and has the dimension a = 10.8 ft . Determine Fac and FeH, the magnitudes of the forces in members CG and GH, respectively, using the method of sections. Assume for your calculations that each member is in tension, and include in your response the sign of each force that you obtain by applying this assumption. Express your answers numerically in pounds to three significant figures separated by a comma. > View Available Hint(s) HVα ΑΣφ It vec Fcc, FGH = lb Submit

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

### Truss Analysis Using Method of Sections

#### Problem Statement:
As shown, a truss is loaded by the forces \( P_1 = 497 \) lb and \( P_2 = 192 \) lb and has the dimension \( a = 10.8 \) ft. Determine \( F_{CG} \) and \( F_{GH} \), the magnitudes of the forces in members \( CG \) and \( GH \), respectively, using the method of sections. Assume for your calculations that each member is in tension, and include in your response the sign of each force that you obtain by applying this assumption.

#### Instructions:
Express your answers numerically in pounds to three significant figures separated by a comma.

#### Diagram Explanation:
- The truss is outlined with points labeled A, B, C, D, E, G, and H.
- The forces \( P_1 \) and \( P_2 \) are applied at points G and H respectively.
- The horizontal distance between points A and B, D and E is \( a = 10.8 \) ft.
- The distance between points B and C, C and D is \( a/2 = 5.4 \) ft.
- The vertical distance from points A, B, C, D, E to the higher points G and H is also \( a = 10.8 \) ft.

#### Detailed Graph/Diagram Explanation:
- **Point Labels and Layout:**
- Points A and E are at the base on either side of the truss.
- Points B, C, and D are intermediary points on the base of the truss.
- Points G and H are on the top of the truss.

- **Forces and Dimensions:**
- \( P_1 \) is acting downward at point G.
- \( P_2 \) is acting horizontally toward the right at point H.
- The dimensions \( a \) and \( a/2 \) are labeled to indicate the truss geometry.

#### Response Input:
- Provide your numerical answers for \( F_{CG} \) and \( F_{GH} \) to three significant figures in the designated input box, separated by a comma.

##### Input Box:
\[
F_{CG}, F_{GH} = \_\_\_\_, \_\_\_\_ \text{ lb}
\]

#### Submission:
After entering your

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