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Determine the forces acting on the ground and the torque, T₁2, to maintain static equilibrium for the four-bar linkage shown in Figure using both graphical and analytical methods. R₁0,=87.5mm, R₂4=R30₁=150mm, co. 100 mm, Rp.175 mm, and Ro.o.=175 mm, De B 3 P 4 105.1° 240° A 2 T12 -152.4° 04

Determine the forces acting on the ground and the torque, T₁2, to maintain static equilibrium for the four-bar linkage shown in Figure using both graphical and analytical methods. R₁0,=87.5mm, R₂4=R30₁=150mm, co. 100 mm, Rp.175 mm, and Ro.o.=175 mm, De B 3 P 4 105.1° 240° A 2 T12 -152.4° 04

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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P=222.5 N

**Text Transcription:** Determine the forces acting on the ground and the torque, \( T_{12} \), to maintain static equilibrium for the four-bar linkage shown in Figure using both graphical and analytical methods. \(\vec{R}_{A,O} = 87.5 \, \text{mm}, \, \vec{R}_{B,A} = \vec{R}_{B,O_2} = 150 \, \text{mm}, \, \vec{R}_{C,O} = 100 \, \text{mm}, \, \vec{R}_{D,O} = 175 \, \text{mm}, \, \text{and} \, \vec{R}_{O_4,O_2} = 175 \, \text{mm}.\) **Diagram Explanation:** The diagram depicts a four-bar linkage system. The system includes the following key components: 1. **Points:** - Point A, B, C, D, O₂, O₄ are labeled to indicate specific locations on the linkage system. 2. **Bars:** - Four bars are labeled 1 through 4, which form the linkage. 3. **Forces and Directions:** - An arrow labeled \( P \) is shown acting horizontally to the right at point D. - The torque \( T_{12} \) is indicated at joint O₂ with an arrow in a clockwise direction. 4. **Angles:** - An angle of 105.1° is noted between lines extending from points A to O₂ and B to A. - Another angle, 152.4°, is between the horizontal line from point O₂ to O₄ and a line from O₂ to B. - A circle with an angle of 240° is inscribed around point O₂. 5. **Structural Supports:** - The diagram shows fixed pivot points at O₂ and O₄, indicated by hardware symbols on horizontal lines. This figure is used to determine the static forces required for maintaining equilibrium in this particular four-bar mechanism, using given lengths and angles associated with the linkage configuration.
Transcribed Image Text:**Text Transcription:** Determine the forces acting on the ground and the torque, \( T_{12} \), to maintain static equilibrium for the four-bar linkage shown in Figure using both graphical and analytical methods. \(\vec{R}_{A,O} = 87.5 \, \text{mm}, \, \vec{R}_{B,A} = \vec{R}_{B,O_2} = 150 \, \text{mm}, \, \vec{R}_{C,O} = 100 \, \text{mm}, \, \vec{R}_{D,O} = 175 \, \text{mm}, \, \text{and} \, \vec{R}_{O_4,O_2} = 175 \, \text{mm}.\) **Diagram Explanation:** The diagram depicts a four-bar linkage system. The system includes the following key components: 1. **Points:** - Point A, B, C, D, O₂, O₄ are labeled to indicate specific locations on the linkage system. 2. **Bars:** - Four bars are labeled 1 through 4, which form the linkage. 3. **Forces and Directions:** - An arrow labeled \( P \) is shown acting horizontally to the right at point D. - The torque \( T_{12} \) is indicated at joint O₂ with an arrow in a clockwise direction. 4. **Angles:** - An angle of 105.1° is noted between lines extending from points A to O₂ and B to A. - Another angle, 152.4°, is between the horizontal line from point O₂ to O₄ and a line from O₂ to B. - A circle with an angle of 240° is inscribed around point O₂. 5. **Structural Supports:** - The diagram shows fixed pivot points at O₂ and O₄, indicated by hardware symbols on horizontal lines. This figure is used to determine the static forces required for maintaining equilibrium in this particular four-bar mechanism, using given lengths and angles associated with the linkage configuration.
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