Determine the horizontal and vertical component of the force of the pin joint at F (kN)? Determine the magnitude of the force at C (kN)? Determine the horizontal and vertical component of the force of the pin joint at A (kN)?
Plane Trusses
It is defined as, two or more elements like beams or any two or more force members, which when assembled together, behaves like a complete structure or as a single structure. They generally consist of two force member which means any component structure where the force is applied only at two points. The point of contact of joints of truss are known as nodes. They are generally made up of triangular patterns. Nodes are the points where all the external forces and the reactionary forces due to them act and shows whether the force is tensile or compressive. There are various characteristics of trusses and are characterized as Simple truss, planar truss or the Space Frame truss.
Equilibrium Equations
If a body is said to be at rest or moving with a uniform velocity, the body is in equilibrium condition. This means that all the forces are balanced in the body. It can be understood with the help of Newton's first law of motion which states that the resultant force on a system is null, where the system remains to be at rest or moves at uniform motion. It is when the rate of the forward reaction is equal to the rate of the backward reaction.
Force Systems
When a body comes in interaction with other bodies, they exert various forces on each other. Any system is under the influence of some kind of force. For example, laptop kept on table exerts force on the table and table exerts equal force on it, hence the system is in balance or equilibrium. When two or more materials interact then more than one force act at a time, hence it is called as force systems.
Determine the horizontal and vertical component of the force of the pin joint at F (kN)?
Determine the magnitude of the force at C (kN)?
Determine the horizontal and vertical component of the force of the pin joint at A (kN)?
![The image depicts a pair of bolt cutters with various mechanical features and dimensions labeled. Here is a detailed transcription and explanation:
**Description:**
1. **Handles:**
- Two handles are shown, each 400 mm in length.
- Each handle makes a 20° angle with the horizontal line extending from the bolt cutter's center.
2. **Forces:**
- A force of 250 N is applied at the end of each handle.
- The direction of the force is at a 20° angle to the handle.
3. **Pivot Points:**
- The jaws of the bolt cutters are pinned at points \( E \), \( A \), \( D \), and \( B \).
- An additional pin is located at point \( F \).
4. **Jaw Mechanism:**
- The cutting section has a jaw length of 80 mm.
- The connections include a 30 mm gap at point \( C \) and a 20 mm distance between the jaws and the handles at points \( A \) and \( B \).
**Explanation of Diagram:**
The diagram shows the mechanical setup of a bolt cutter. The applied forces on the handles generate a torque that is transferred through pivot points, providing the mechanical advantage needed to cut through materials. Each pin serves as a fulcrum to ensure proper force distribution and jaw alignment for efficient cutting action.
This diagram is useful for understanding the mechanical principles of levers and force distribution in practical applications such as bolt cutting.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c1e8b90-227b-4a9c-b073-26e8337ecb0b%2F57be48a6-0155-4431-91eb-7517695fbd07%2F98zff2b_processed.png&w=3840&q=75)
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