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A 300-N force is applied at Aas shownin Figure-04. Determine (i) the moment of the 300-N force about D, (ii) the smallest force applied at B that creates the same moment about D.

A 300-N force is applied at Aas shownin Figure-04. Determine (i) the moment of the 300-N force about D, (ii) the smallest force applied at B that creates the same moment about D.

Question

A 300-N force is applied at Aas shownin Figure-04. Determine (i) the moment of the 300-N force about D, (ii) the smallest force applied at B that creates the same moment about D.

### Educational Resource: Mechanics of Materials - Force Systems #### Diagram Explanation The provided diagram is a rectangular plate subjected to forces and shown with specific dimensions. Here’s a detailed breakdown of the diagram: 1. **Dimensions and Positions:** - The length of the rectangular plate is 300 mm. - The width of the rectangular plate is 200 mm. - Points A, B, C, and D are marked on the plate: - Point A is at the bottom-left corner. - Point B is at the bottom-right corner. - Point C is 125 mm above point B. - Point D is at the center of the top edge, 100 mm from either side. 2. **Forces:** - A 300 N force is applied at point A and directed upwards at an angle of 25° from the horizontal axis. 3. **Support:** - The plate is supported by a pulley system at the top edge, centered at point D. ### Applications This setup can be typically related to problems involving equilibrium of rigid bodies, especially in engineering statics and mechanics of materials. The forces and dimensions will be used to determine reactions at supports, internal stresses, and potentially the effect of the force on the structural integrity of the plate. #### Analysis Goals By analyzing this force system, students can achieve the following learning outcomes: - Determine the resultant force acting on the plate. - Calculate the moments about key points (A, B, C, and D). - Understand the effect of inclined forces on rigid bodies. - Apply conditions of equilibrium to solve for unknown forces and reactions. This type of problem is fundamental in studies of mechanical and civil engineering, providing insights into how materials and structures behave under various load conditions.
Transcribed Image Text:### Educational Resource: Mechanics of Materials - Force Systems #### Diagram Explanation The provided diagram is a rectangular plate subjected to forces and shown with specific dimensions. Here’s a detailed breakdown of the diagram: 1. **Dimensions and Positions:** - The length of the rectangular plate is 300 mm. - The width of the rectangular plate is 200 mm. - Points A, B, C, and D are marked on the plate: - Point A is at the bottom-left corner. - Point B is at the bottom-right corner. - Point C is 125 mm above point B. - Point D is at the center of the top edge, 100 mm from either side. 2. **Forces:** - A 300 N force is applied at point A and directed upwards at an angle of 25° from the horizontal axis. 3. **Support:** - The plate is supported by a pulley system at the top edge, centered at point D. ### Applications This setup can be typically related to problems involving equilibrium of rigid bodies, especially in engineering statics and mechanics of materials. The forces and dimensions will be used to determine reactions at supports, internal stresses, and potentially the effect of the force on the structural integrity of the plate. #### Analysis Goals By analyzing this force system, students can achieve the following learning outcomes: - Determine the resultant force acting on the plate. - Calculate the moments about key points (A, B, C, and D). - Understand the effect of inclined forces on rigid bodies. - Apply conditions of equilibrium to solve for unknown forces and reactions. This type of problem is fundamental in studies of mechanical and civil engineering, providing insights into how materials and structures behave under various load conditions.
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