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Both pulleys are fixed to the shaft and as the shaft turn with constant angular velocity, the power of pulley A is transmitted to pulley B. Determine the horizontal tension T in the belt on pulleyB and the x, y, components of reaction at bearing C and D. Assume 0 =O and the bearing at D does not exert any axial thrust.

Both pulleys are fixed to the shaft and as the shaft turn with constant angular velocity, the power of pulley A is transmitted to pulley B. Determine the horizontal tension T in the belt on pulleyB and the x, y, components of reaction at bearing C and D. Assume 0 =O and the bearing at D does not exert any axial thrust.

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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Both pulleys are fixed to the shaft and as the shaft turns with constant angular velocity, the power of pulley A is transmitted to pulley B. Determine the horizontal tension T in the belt on pulley B and the x, y, z components of reaction at bearing C and D. Assume θ = 0 and the bearing at D does not exert any axial thrust.
Transcribed Image Text:Both pulleys are fixed to the shaft and as the shaft turns with constant angular velocity, the power of pulley A is transmitted to pulley B. Determine the horizontal tension T in the belt on pulley B and the x, y, z components of reaction at bearing C and D. Assume θ = 0 and the bearing at D does not exert any axial thrust.
The image shows a mechanical setup involving a rod with multiple forces acting upon it. Here's a detailed breakdown: ### Components: - **Rod:** Positioned horizontally and supported at points C and B. - **Pulley:** Located at point D with a belt wrapped around it, indicating a tension force \( T \). - **Forces:** Multiple forces are applied at different points along the rod. ### Measurements: - **Distance from Support C to Point B:** 200 mm. - **Distance from Point B to Pulley D:** 150 mm. - **Distance from Support C to the left end of the rod:** 300 mm. - **Distance from Point B to Force \( A \):** 80 mm. ### Forces: - **Force at Point C:** 65 N directed vertically downwards. - **Force at Point A:** 80 N directed vertically downwards. - **Force in the negative x-direction:** 50 N. - **Tension \( T \):** Acts along the plane of the pulley at point D. ### Coordinates and Angles: - **Coordinate Axes:** - **X-axis:** Points to the right. - **Y-axis:** Points upwards. - **Z-axis:** Points out of the plane of the diagram. - **Angle \( \theta \):** Represents the angle where the tension force \( T \) is applied. This setup could represent a typical statics problem involving calculating forces, tensions, and possibly the reactions at the supports. Understanding the vector components and the mechanical interactions is essential for problem-solving.
Transcribed Image Text:The image shows a mechanical setup involving a rod with multiple forces acting upon it. Here's a detailed breakdown: ### Components: - **Rod:** Positioned horizontally and supported at points C and B. - **Pulley:** Located at point D with a belt wrapped around it, indicating a tension force \( T \). - **Forces:** Multiple forces are applied at different points along the rod. ### Measurements: - **Distance from Support C to Point B:** 200 mm. - **Distance from Point B to Pulley D:** 150 mm. - **Distance from Support C to the left end of the rod:** 300 mm. - **Distance from Point B to Force \( A \):** 80 mm. ### Forces: - **Force at Point C:** 65 N directed vertically downwards. - **Force at Point A:** 80 N directed vertically downwards. - **Force in the negative x-direction:** 50 N. - **Tension \( T \):** Acts along the plane of the pulley at point D. ### Coordinates and Angles: - **Coordinate Axes:** - **X-axis:** Points to the right. - **Y-axis:** Points upwards. - **Z-axis:** Points out of the plane of the diagram. - **Angle \( \theta \):** Represents the angle where the tension force \( T \) is applied. This setup could represent a typical statics problem involving calculating forces, tensions, and possibly the reactions at the supports. Understanding the vector components and the mechanical interactions is essential for problem-solving.
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