Finding Tension Force in a Metal Stick Connected to the Ceiling

In summary, the problem involves a metal stick connected to the ceiling with another stick at a 60° angle. The objective is to calculate the tension force of the bottom stick using trigonometry. The approach suggested is to draw free body diagrams for each stick and use statics equations to consider the forces acting on them.
  • #1
Jorgen1224
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0

Homework Statement


There is a metal stick that is connected to the ceiling with another one. The angle between them is 60°. Calculate the tension force of the bottom one.

Homework Equations


T = f N
or actually none, except trygonometry

The Attempt at a Solution


[/B]
I tried using this equation T = f N and convert it somehow, but i bet that trygonometry is strictly required here, but i don't really know how to use it. So I'm asking for any tips that could help me out.

I see that if we cut this structure in a half then we have 2 equal rectangular triangles with angles: 30, 60 and 90. And i don't really know what am i supposed to do next
Sorry for inaccuracies, because scientific english is quite new for me.
 

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  • #2
Jorgen1224 said:
There is a metal stick that is connected to the ceiling with another one. The angle between them is 60°. Calculate the tension force of the bottom one.
That's a rather inadequate description. I would assume that the upper stick is freely jointed where it attaches to the ceiling, and where it attaches to the lower stick, and similarly where the lower stick attaches to the floor, directly under the ceiling attachment.
Further, that the two sticks are uniform and have the same weight.

Draw a separate free body diagram for each stick, consider the forces that act on it, and write out the corresponding statics equations (force and torque balances).
 

What is tension and why is it important?

Tension is a force that is exerted on an object, pulling it in opposite directions. It is important to calculate tension in order to understand the stability and strength of structures, and to ensure that they can withstand the forces acting on them.

How is tension calculated?

Tension is calculated by using the formula T = F * L, where T is the tension, F is the force applied, and L is the distance over which the force is applied. This formula is based on the principle of equilibrium, which states that the sum of all forces acting on an object must equal zero.

What units are used to measure tension?

Tension is typically measured in units of newtons (N) or pounds (lbs). However, the specific units used may vary depending on the context and system of measurement being used.

What factors can affect tension?

Tension can be affected by various factors such as the magnitude and direction of the applied force, the material properties of the object, and the angle at which the force is applied. Additionally, environmental factors such as temperature and humidity can also impact tension.

What are some practical applications of calculating tension?

Calculating tension is important in many fields, including engineering, architecture, and physics. It is used to design and construct structures such as bridges and buildings, to determine the stability of objects under different conditions, and to understand the behavior of materials under tension. It is also useful in everyday situations, such as when hanging objects from a rope or cable.

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