How Do You Calculate the Tension in Cables Suspending a Loudspeaker?

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In summary, the "Different Tension Problem" is a physics phenomenon where connected objects experience different levels of tension due to weight and forces. It can be solved using principles of physics and is important in real-world applications such as engineering and understanding object motion. Common mistakes include not considering all forces and not using appropriate equations and principles.
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circuscircus
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Homework Statement


A 20kg loudspeaker is suspended 2 m below the ceiling by two 3m long cables that angle outward at equal angles. What is the tension in the cables?


Homework Equations





The Attempt at a Solution


cos theta = 2/3, theta=48.2 degrees
w=mg=20kg * 9.8m/s^2 = 196N

But the answer is 147N
 
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  • #2
Try drawing a FBD and see what the forces tell you.
 
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  • #3
w=mg=20kg * 9.8m/s^2 = 196N

You have to break this problem down into components in order to solve it.

Hint: Since the angles are the same, the tension in both cables will be the same.
 

What is the "Different Tension Problem"?

The "Different Tension Problem" is a phenomenon in physics where different objects in a system experience different levels of tension or force despite being connected by the same string, rope, or cable. This can cause discrepancies in calculations and can be a challenge to solve.

Why does the "Different Tension Problem" occur?

The "Different Tension Problem" occurs because of the distribution of weight and forces in a system. When objects are connected by a string or cable, they are subject to different forces based on their position and weight, causing differences in tension.

How can the "Different Tension Problem" be solved?

The "Different Tension Problem" can be solved using principles of physics, such as Newton's laws of motion, and by considering the weight and position of each object in the system. Additionally, using free body diagrams and equations of motion can help to accurately calculate tensions.

What are some practical applications of understanding the "Different Tension Problem"?

Understanding the "Different Tension Problem" is essential in many real-world scenarios, such as in engineering and construction, where structures and machines rely on balanced tensions to function properly. It is also important in understanding the behavior of objects in motion, such as in sports or transportation.

What are some common mistakes made when dealing with the "Different Tension Problem"?

Some common mistakes made when dealing with the "Different Tension Problem" include ignoring the weight and position of objects, not considering all forces acting on the system, and not using the appropriate equations and principles of physics. It is also important to be careful with assumptions and to check calculations for errors.

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