Finding Forces Acting on Mast: Trigonometry Method

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SUMMARY

The discussion focuses on calculating the force in a stay-wire supporting a 20m high mast subjected to a horizontal force of 600N from a wireless aerial. The stay-wire is positioned 6m below the mast's top and inclined at 60 degrees to the horizontal. By applying trigonometric methods, participants analyze the balance of horizontal and vertical forces, as well as the moments around the attachment point of the wire. The solution involves determining the normal contact force and the resultant force in the stay-wire.

PREREQUISITES
  • Understanding of basic trigonometry, specifically sine and cosine functions.
  • Knowledge of static equilibrium principles, including force balance and moment calculations.
  • Familiarity with free body diagrams to visualize forces acting on structures.
  • Ability to apply Newton's laws of motion in static scenarios.
NEXT STEPS
  • Study the application of trigonometric functions in static equilibrium problems.
  • Learn how to construct and analyze free body diagrams for complex structures.
  • Explore the principles of moments and their role in determining forces in static systems.
  • Investigate the effects of different angles on force distribution in tensioned cables.
USEFUL FOR

Students in physics or engineering disciplines, particularly those studying statics and structural analysis, as well as professionals involved in designing and analyzing support systems for tall structures.

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Homework Statement


A wireless aerial attacheed to thee top of thee mast 20m high exerts a horizontal force of 600N on it.The mast is supported by a stay -wire running to the groung from a point 6m beow the top of the mast, and inclined at 60 degrees to the horizontal. Assuming that the reation of the ground can be regarded as a single force, draw a diagram of the forces acting on the mast and determine by calculation the force in the stay-wire.


Homework Equations


using of trigo method to find the normal contact force?


The Attempt at a Solution

trigo method to find vertical force. Given that angle is 6o degrees, i can find the hypothenus as well
 
Physics news on Phys.org
What are all the forces acting on the mast.
The horizontal and the vertical components of these forces must balance.
and the moments around the attachment of the rope must balance.
 

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