Finding Forces Acting on Mast: Trigonometry Method

In summary, a wireless aerial attached to a 20m high mast exerts a horizontal force of 600N. The mast is supported by a stay-wire inclined at 60 degrees to the horizontal, with a point 6m below the top of the mast. Using trigonometry, the normal contact force can be calculated. The forces acting on the mast must be balanced in both their horizontal and vertical components, as well as their moments around the attachment of the rope.
  • #1
dolphiinx
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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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  • #2
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.
 

What is the purpose of using trigonometry to find forces acting on a mast?

The purpose of using trigonometry is to determine the magnitude and direction of the forces acting on a mast, which can help in understanding the stability and structural integrity of the mast.

What information is needed to use the trigonometry method to find forces on a mast?

To use the trigonometry method, you will need the height and angle of the mast, as well as the weight and location of any objects attached to the mast.

How does the trigonometry method work?

The trigonometry method uses the principles of trigonometry, specifically sine, cosine, and tangent, to calculate the forces acting on a mast. The height and angle of the mast are used to determine the components of the forces, and the weight and location of attached objects are used to calculate the total forces.

What are the limitations of using trigonometry to find forces on a mast?

Trigonometry can only be used for simple and static systems, and it assumes that the mast and attached objects are perfectly rigid. It also does not take into account any dynamic forces, such as wind or vibrations, that may affect the mast.

How accurate is the trigonometry method in determining forces on a mast?

The accuracy of the trigonometry method depends on the accuracy of the measurements and assumptions made. It can provide a good estimate of the forces, but it may not account for all variables and therefore may not be completely accurate.

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