The jib crane is pin connected at A and supported by a smooth collar at B. If x = 8 ft, determine reactions on the jib crane at the pin A and smooth collar B. The load has a weight of 5000 lb.
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.
The jib crane is pin connected at A and
supported by a smooth collar at B. If x = 8 ft,
determine reactions on the jib crane at the pin
A and smooth collar B. The load has a weight
of 5000 lb.
![The image depicts a mechanical diagram of a beam and pulley system mounted on a vertical support. The structure consists of a vertical post and a horizontal beam extending from the post.
- **Vertical Post:** The post is anchored into the ground at point A. The height of the post is labeled as 12 feet.
- **Horizontal Beam:** Extends horizontally from the post. A pulley system is attached at the end of the beam.
- **Pulley System:** A mass is suspended from the pulley, shown as a rectangular block, indicating a load being supported by the structure.
- **Distance 'x':** The horizontal distance from the support joint (B) to the point where the load is suspended from the beam.
The figure references points A and B, crucial for understanding the structural support and load distribution in analyzing static equilibrium in mechanics. The load is supported by a hook at the end of the beam, illustrating a real-world application of physics principles such as levers and tension.
**Figure Reference:** 05_P039-040
The diagram is a part of educational material published by Pearson Education, under Prentice Hall, emphasizing the practical application of physics and engineering concepts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05ce28e3-ee99-475e-8ee6-22206cadc331%2Fb6a9b519-1e5b-4dce-9adc-c99e9286e58d%2Fes5ygdk_processed.png&w=3840&q=75)
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