Does Wire Diameter Affect Tension in Vertically Suspended Loads?

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SUMMARY

The discussion centers on the relationship between wire diameter and tension in vertically suspended loads, specifically addressing two scenarios: wires of different diameters supporting a load and a framed picture hung with string. It is established that tension remains equal throughout the wires regardless of diameter when they are joined end to end. For the framed picture weighing 50N, the tension in the string can be calculated by analyzing the forces acting on the system, leading to a conclusion that the tension is distributed evenly across the attachment points.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with Free Body Diagrams (FBDs)
  • Basic principles of tension in strings and cables
  • Knowledge of force decomposition in physics
NEXT STEPS
  • Study the principles of tension in different materials and their effects on load-bearing capacity
  • Learn how to construct and analyze Free Body Diagrams for various physical systems
  • Explore the relationship between wire diameter and tensile strength in engineering contexts
  • Investigate the effects of wire mass on tension in real-world applications
USEFUL FOR

Physics students, engineering students, and professionals involved in structural design and mechanics will benefit from this discussion, particularly those focusing on tension analysis in suspended systems.

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Homework Statement



2 questions:
a) Discuss whether the tension is the same throughout two wires, one of which has twice the diameter of the other, which are joined end to end and hung vertically to support a load.

and when supporting a heady chain hanging vertically.

b) Framed picture of weight 50N is to be hung on a wall using a piece os string. String tied to two points, 0.6m apart on the same horizontal level on the back of the picture. Find the tension in the string if it is 1m long, 0.66m long.

Homework Equations



F=m*a

The Attempt at a Solution



a) Really don't understand... both should be equal? There's no reason for them to be unequal just because of size difference?

b) 50/2 on each?? Really confused how horizontal tension correlates the the upwards tension of holding up the weight of the picture
 
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For (a), what happens if the wires are made of some real material with mass?

For (b), draw a Free Body Diagram for the system. Identify the forces acting and their components.
 
The mass of the wires is small enough to be neglected.

EDIT: I don't know what forces to draw on the free body diagram. Weight of 50N downwards... then? 2 25N's on each pin?
 
danielnjoo said:
The mass of the wires is small enough to be neglected.
Then you should neglect their geometry, too :smile:
EDIT: I don't know what forces to draw on the free body diagram. Weight of 50N downwards... then? 2 25N's on each pin?

You should take a look at your notes or course materials to see what sorts of forces are involved, and perhaps some examples of FBDs. There are lots of examples and tutorials on the web, too. For example:

http://www.physicsclassroom.com/class/newtlaws/u2l2c.cfm
 

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