Finding Forces Acting on Mast: Trigonometry Method

AI Thread Summary
A wireless aerial on a 20m mast exerts a horizontal force of 600N, supported by a stay-wire inclined at 60 degrees, attached 6m below the top. The discussion focuses on using trigonometry to analyze the forces acting on the mast, including the need to balance horizontal and vertical components. Participants emphasize the importance of calculating the normal contact force and the moments around the attachment point of the stay-wire. The calculations involve determining the resultant forces to ensure equilibrium. Accurate force analysis is crucial for understanding the stability of the mast under the given conditions.
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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
 
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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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