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two logs that has equal length (s) is attached to a wall with hinges, creating a equilateral triangle. the upper and lower logs are uniform and the upper logs has a mass of 59 kg and the lower log has mass of 81 kg. the two logs are connected together with the hinge pin FIND: a) the force due of the wall hinge on the top log b) the force due of the wall hinge of the lower log c) find the force that is due of the hinge in the middle on either log. STATE WHICH LOG

two logs that has equal length (s) is attached to a wall with hinges, creating a equilateral triangle. the upper and lower logs are uniform and the upper logs has a mass of 59 kg and the lower log has mass of 81 kg. the two logs are connected together with the hinge pin FIND: a) the force due of the wall hinge on the top log b) the force due of the wall hinge of the lower log c) find the force that is due of the hinge in the middle on either log. STATE WHICH LOG

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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two logs that has equal length (s) is attached to a wall with hinges, creating a equilateral triangle. the upper and lower logs are uniform and the upper logs has a mass of 59 kg and the lower log has mass of 81 kg. the two logs are connected together with the hinge pin FIND: a) the force due of the wall hinge on the top log b) the force due of the wall hinge of the lower log c) find the force that is due of the hinge in the middle on either log. STATE WHICH LOG
### Understanding Forces on a Door Mechanism In this diagram, we see a simplified representation of a door hinge mechanism, which is useful for understanding how forces act on doors. **Components:** 1. **Wall**: The vertical rectangle on the left side of the diagram represents a wall to which the door is attached. 2. **Upper Log (a)**: This is the upper attachment point of the door to the wall. 3. **Lower Hinge (b)**: This is the lower attachment point of the door to the wall. 4. **Hinge Pin (c)**: This is the pivot point or the pin around which the door rotates. **Forces:** - There are two weight forces shown, one labeled "52 kg" at the upper log (a) and another labeled "81 kg" at the lower hinge (b). - Arrows indicate the directions of these forces, showing standard downward gravitational force. **Description:** When analyzing the forces acting on a door attached to a wall with hinges, it's crucial to understand that each hinge can experience different forces depending on the weight distribution and the pivot mechanism. 1. **Upper Log (a)** and **Lower Hinge (b)**: These points are where the door is connected to the wall. Each connection supports the door's weight and responds to external forces due to opening and closing actions. 2. The weights indicated (52 kg and 81 kg) are likely representing the forces exerted by the weight of the door at the points where it’s attached to the wall. **Concepts To Explore:** - **Torque and Rotational Dynamics**: Understanding how the force due to the weight of the door creates a torque around the hinge pin (c) can help in determining the mechanical advantage or the stress on the hinge joints. - **Equilibrium of Forces**: Analyzing these forces gives us insights into how the architecture of the door supports maintains equilibrium. The sum of the forces and the sum of the moments around any point should be zero for a door at rest. ### Practical Applications - **Designing Strong Hinges**: By calculating and understanding the forces at each hinge, we can design stronger and more durable hinges. - **Improved Door Mechanics**: With the knowledge of these forces, door mechanics can be optimized for smoother operations. Understanding these principles is crucial in fields such as civil engineering, mechanical engineering, and general physics.
Transcribed Image Text:### Understanding Forces on a Door Mechanism In this diagram, we see a simplified representation of a door hinge mechanism, which is useful for understanding how forces act on doors. **Components:** 1. **Wall**: The vertical rectangle on the left side of the diagram represents a wall to which the door is attached. 2. **Upper Log (a)**: This is the upper attachment point of the door to the wall. 3. **Lower Hinge (b)**: This is the lower attachment point of the door to the wall. 4. **Hinge Pin (c)**: This is the pivot point or the pin around which the door rotates. **Forces:** - There are two weight forces shown, one labeled "52 kg" at the upper log (a) and another labeled "81 kg" at the lower hinge (b). - Arrows indicate the directions of these forces, showing standard downward gravitational force. **Description:** When analyzing the forces acting on a door attached to a wall with hinges, it's crucial to understand that each hinge can experience different forces depending on the weight distribution and the pivot mechanism. 1. **Upper Log (a)** and **Lower Hinge (b)**: These points are where the door is connected to the wall. Each connection supports the door's weight and responds to external forces due to opening and closing actions. 2. The weights indicated (52 kg and 81 kg) are likely representing the forces exerted by the weight of the door at the points where it’s attached to the wall. **Concepts To Explore:** - **Torque and Rotational Dynamics**: Understanding how the force due to the weight of the door creates a torque around the hinge pin (c) can help in determining the mechanical advantage or the stress on the hinge joints. - **Equilibrium of Forces**: Analyzing these forces gives us insights into how the architecture of the door supports maintains equilibrium. The sum of the forces and the sum of the moments around any point should be zero for a door at rest. ### Practical Applications - **Designing Strong Hinges**: By calculating and understanding the forces at each hinge, we can design stronger and more durable hinges. - **Improved Door Mechanics**: With the knowledge of these forces, door mechanics can be optimized for smoother operations. Understanding these principles is crucial in fields such as civil engineering, mechanical engineering, and general physics.
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