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Consider a ladder used by a construction worker as shown below. The worker weight plus his tools is estimated to be 200 lb at mid-height. The ladder is supported at points A and B, developing reactions as shown in the free-body diagram. Assuming that reaction forces RAx and RBx develop magnitudes of 50 lb each and RAy=200 lb, determine MA, MB and MC.

Consider a ladder used by a construction worker as shown below. The worker weight plus his tools is estimated to be 200 lb at mid-height. The ladder is supported at points A and B, developing reactions as shown in the free-body diagram. Assuming that reaction forces RAx and RBx develop magnitudes of 50 lb each and RAy=200 lb, determine MA, MB and MC.

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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Consider a ladder used by a construction worker as shown below. The worker weight plus his tools is estimated to be 200 lb at mid-height. The ladder is supported at points A and B, developing reactions as shown in the free-body diagram. Assuming that reaction forces RAx and RBx develop magnitudes of 50 lb each and RAy=200 lb, determine MA, MB and MC.

The image contains a mechanical problem involving a ladder resting against a wall, as depicted in two diagrams and a photograph. **Text:** Given: - \( R_x = 50 \, \text{lb} \) - \( R_{Bx} = 50 \, \text{lb} \) - \( R_A = 200 \, \text{lb} \) - \( W = 200 \, \text{lb} \) **Diagram Explanation:** **Figure 2a:** - A ladder is shown resting against a vertical wall. - Point \( A \) is at the base of the ladder on the ground. - Points \( B \) and \( C \) are on the ladder, with \( B \) at the top, touching the wall, and \( C \) located at the midpoint. - The weight (\( W \)) of 200 lb acts downwards at point \( C \). - The ladder has a length of 6 ft along the ground to the wall. - Vertical distances from the ground to points \( C \) and \( B \) are both 6 ft each. **Figure 2b:** - This is a simplified free-body diagram of the ladder. - Forces at play are labeled: \( 200 \, \text{lb} \) directed down at \( C \), \( R_{Bx} = 50 \, \text{lb} \) at \( B \), and \( R_x = 50 \, \text{lb} \) and \( R_A = 200 \, \text{lb} \) at \( A \). - The visual direction of the forces is indicated with arrows. **Photograph:** - Illustrates a person climbing the ladder, suggesting an application of forces being analyzed. **Required:** - Calculate moments about points \( A \), \( B \), and \( C \). - \( M_A = ? \) - \( M_B = ? \) - \( M_C = ? \)
Transcribed Image Text:The image contains a mechanical problem involving a ladder resting against a wall, as depicted in two diagrams and a photograph. **Text:** Given: - \( R_x = 50 \, \text{lb} \) - \( R_{Bx} = 50 \, \text{lb} \) - \( R_A = 200 \, \text{lb} \) - \( W = 200 \, \text{lb} \) **Diagram Explanation:** **Figure 2a:** - A ladder is shown resting against a vertical wall. - Point \( A \) is at the base of the ladder on the ground. - Points \( B \) and \( C \) are on the ladder, with \( B \) at the top, touching the wall, and \( C \) located at the midpoint. - The weight (\( W \)) of 200 lb acts downwards at point \( C \). - The ladder has a length of 6 ft along the ground to the wall. - Vertical distances from the ground to points \( C \) and \( B \) are both 6 ft each. **Figure 2b:** - This is a simplified free-body diagram of the ladder. - Forces at play are labeled: \( 200 \, \text{lb} \) directed down at \( C \), \( R_{Bx} = 50 \, \text{lb} \) at \( B \), and \( R_x = 50 \, \text{lb} \) and \( R_A = 200 \, \text{lb} \) at \( A \). - The visual direction of the forces is indicated with arrows. **Photograph:** - Illustrates a person climbing the ladder, suggesting an application of forces being analyzed. **Required:** - Calculate moments about points \( A \), \( B \), and \( C \). - \( M_A = ? \) - \( M_B = ? \) - \( M_C = ? \)
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