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A frame consists of two members (ABC and DC) and two identical pulleys with radii r = 3 in. The frame supports an applied force F= 2900 lbf and is held in equilibrium by fixed pins at A and D and by pins at points B and C. The dimensions of the frame are given as L = 30 in and h = 26.25 in. Determine the support reactions at pins A and D and the force components at pin B. Note: Express answers as magnitudes only and ignore signs/directions.

A frame consists of two members (ABC and DC) and two identical pulleys with radii r = 3 in. The frame supports an applied force F= 2900 lbf and is held in equilibrium by fixed pins at A and D and by pins at points B and C. The dimensions of the frame are given as L = 30 in and h = 26.25 in. Determine the support reactions at pins A and D and the force components at pin B. Note: Express answers as magnitudes only and ignore signs/directions.

Elements Of Electromagnetics
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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### Frame and Pulley System Analysis A frame consists of two members, \( ABC \) and \( DC \), and two identical pulleys with radii \( r = 3 \) inches. The frame supports an applied force \( F = 2900 \, \text{lbf} \) and is held in equilibrium by fixed pins at \( A \) and \( D \), and by pins at points \( B \) and \( C \). The dimensions of the frame are given as \( L = 30 \) inches and \( h = 26.25 \) inches. The task is to determine the support reactions at pins \( A \) and \( D \), as well as the force components at pin \( B \). **Note:** Express answers as magnitudes only, and ignore signs/directions. #### Diagram Description - **Structure Layout**: - A vertical wall supports the frame at point \( A \) with a fixed pin. - Horizontal member \( DC \) extends from \( D \) to \( C \) and is parallel to the horizontal base. - An inclined member \( ABC \) connects the wall at \( A \) and extends through points \( B \) and \( C \). - **Force Application**: - The force \( F \) is exerted vertically downward at point \( C \). - **Pulley System**: - Two pulleys located at \( B \) and \( C \) control the distribution of tension across the system. - These pulleys have identical radii \( r \). - **Dimensions**: - Distance from \( A \) to \( B \) is characterized by height \( h \). - The horizontal segment lengths are given as \( L \) from \( D \) to \( B \) and from \( B \) to \( C \). This analysis involves mechanical equilibrium, where the sum of forces and moments around any pivot should be zero.
Transcribed Image Text:### Frame and Pulley System Analysis A frame consists of two members, \( ABC \) and \( DC \), and two identical pulleys with radii \( r = 3 \) inches. The frame supports an applied force \( F = 2900 \, \text{lbf} \) and is held in equilibrium by fixed pins at \( A \) and \( D \), and by pins at points \( B \) and \( C \). The dimensions of the frame are given as \( L = 30 \) inches and \( h = 26.25 \) inches. The task is to determine the support reactions at pins \( A \) and \( D \), as well as the force components at pin \( B \). **Note:** Express answers as magnitudes only, and ignore signs/directions. #### Diagram Description - **Structure Layout**: - A vertical wall supports the frame at point \( A \) with a fixed pin. - Horizontal member \( DC \) extends from \( D \) to \( C \) and is parallel to the horizontal base. - An inclined member \( ABC \) connects the wall at \( A \) and extends through points \( B \) and \( C \). - **Force Application**: - The force \( F \) is exerted vertically downward at point \( C \). - **Pulley System**: - Two pulleys located at \( B \) and \( C \) control the distribution of tension across the system. - These pulleys have identical radii \( r \). - **Dimensions**: - Distance from \( A \) to \( B \) is characterized by height \( h \). - The horizontal segment lengths are given as \( L \) from \( D \) to \( B \) and from \( B \) to \( C \). This analysis involves mechanical equilibrium, where the sum of forces and moments around any pivot should be zero.
The table displayed appears to be a computational output listing several parameters related to force, represented as absolute values. Each entry is followed by a specification for numerical input, describing acceptable relative tolerance (`rtol`) and absolute tolerance (`atol`) values. The units of measurement indicated are pounds-force (lbf). Here's a detailed transcription: 1. \(|A_{x}|\) = number (rtol=0.01, atol=1e-05) lbf 2. \(|A_{y}|\) = number (rtol=0.01, atol=1e-05) lbf 3. \(|D_{x}|\) = number (rtol=0.01, atol=1e-05) lbf 4. \(|D_{y}|\) = number (rtol=0.01, atol=1e-05) lbf 5. \(|B_{x}|\) = number (rtol=0.01, atol=1e-05) lbf 6. \(|B_{y}|\) = number (rtol=0.01, atol=1e-05) lbf Each row contains an unspecified numerical input followed by tolerance parameters, ensuring precision in calculations related to force measurements.
Transcribed Image Text:The table displayed appears to be a computational output listing several parameters related to force, represented as absolute values. Each entry is followed by a specification for numerical input, describing acceptable relative tolerance (`rtol`) and absolute tolerance (`atol`) values. The units of measurement indicated are pounds-force (lbf). Here's a detailed transcription: 1. \(|A_{x}|\) = number (rtol=0.01, atol=1e-05) lbf 2. \(|A_{y}|\) = number (rtol=0.01, atol=1e-05) lbf 3. \(|D_{x}|\) = number (rtol=0.01, atol=1e-05) lbf 4. \(|D_{y}|\) = number (rtol=0.01, atol=1e-05) lbf 5. \(|B_{x}|\) = number (rtol=0.01, atol=1e-05) lbf 6. \(|B_{y}|\) = number (rtol=0.01, atol=1e-05) lbf Each row contains an unspecified numerical input followed by tolerance parameters, ensuring precision in calculations related to force measurements.
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