How Does Friction Affect the Span of a Sliding Chain?

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In summary, statics is a branch of mechanics that studies objects and systems in a state of rest or constant motion. It is important in understanding the behavior of structures, machines, and other objects in our daily lives. Some common applications of statics include civil engineering, mechanical engineering, aerospace engineering, and architecture. The basic principles of statics involve forces, equilibrium, and moments. Statics differs from dynamics in that it focuses on objects in a state of rest or constant motion, while dynamics deals with objects that are accelerating and takes into account the effects of time and motion.
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Johnny87
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The end links of a uniform chain can slide on a fixed rough horizontal rod. Show that the ratio of the extreme span to the length of the chain is

mu log{[1+(1+mu^2)^(1/2)]/ mu}





Please help me!
 
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  • #2
Either you draw a diagram, or explain in more detail how the system looks. Where is the chain wrt the rod and how it is sliding?
 
  • #3
No idea, this was the text of the exercise. No picture, no explanation.
 
  • #4
Does anyone know hot to solve this? Please help me!
 
  • #5
https://www.physicsforums.com/showthread.php?t=94379
 

What is statics?

Statics is a branch of mechanics that deals with the study of objects and systems at rest or in a state of constant motion. It involves analyzing the forces acting on an object and the resulting equilibrium or balance of those forces.

Why is statics important?

Statics is important in understanding the behavior of structures, machines, and other objects in our everyday lives. It allows us to predict how these objects will respond to external forces and how to design them to be safe and stable.

What are some common applications of statics?

Statics is used in many fields, including civil engineering, mechanical engineering, aerospace engineering, and architecture. It is applied in the design of buildings, bridges, vehicles, and other structures to ensure their stability and safety.

What are the basic principles of statics?

The basic principles of statics include the concept of forces, equilibrium, and moments. Forces are external influences that act on an object and equilibrium refers to the balance of these forces. Moments are the rotational effects of forces on an object.

How is statics different from dynamics?

Statics deals with objects at rest or in a state of constant motion, while dynamics deals with objects that are accelerating. Additionally, dynamics takes into account the effects of time and motion, while these are not considered in statics.

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