How to Solve an Indeterminate Cable System with Multiple Unknowns?

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SUMMARY

The discussion focuses on solving an indeterminate cable system supporting a 200-pound weight. Participants detail the separation of x and y components of forces, specifically using equations involving angles such as 60 degrees, 36.87 degrees, and 15 degrees. A key insight is the necessity to create separate equations for the forces acting on point D and the vertical boom BC to resolve the multiple unknowns effectively. The importance of recognizing that the force on BC is not necessarily vertical is also highlighted.

PREREQUISITES
  • Understanding of static equilibrium in mechanics
  • Familiarity with trigonometric functions and their applications in force resolution
  • Knowledge of cable systems and their force interactions
  • Ability to set up and solve simultaneous equations
NEXT STEPS
  • Study the principles of static equilibrium in mechanical systems
  • Learn how to apply trigonometric functions in force analysis
  • Research methods for analyzing indeterminate structures
  • Explore the use of free body diagrams for complex systems
USEFUL FOR

Engineering students, mechanical engineers, and professionals involved in structural analysis or cable system design will benefit from this discussion.

Puchinita5
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Homework Statement


A weight of 200 pounds is supported by a cable system as shown. Determine all cable forces and the force in the vertical boom BC.

Homework Equations


The Attempt at a Solution



i separated the x compontents and y components:
x:CAcos60-CDcos36.86989765+DEcos15=0
y: CAsin60-CDsin36.86989765+DEsin15-200+CB=0

but this looks like i have too many unknowns?
 

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Hi Puchinita5! :wink:
Puchinita5 said:
i separated the x compontents and y components:
x:CAcos60-CDcos36.86989765+DEcos15=0
y: CAsin60-CDsin36.86989765+DEsin15-200+CB=0

but this looks like i have too many unknowns?

That's because you've lumped everything together. :rolleyes:

Do equations for the three forces on D, and then equations for the forces on BC. :smile:

(btw, the question doesn't say that the force on BC is vertical)
 

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